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1. Introductory technical mathematics [2019]
 Peterson, John C. (John Charles), 1939 author.
 7th edition.  Boston, MA : Cengage Learning, [2019]
 Description
 Book — xviii, 1022 pages : illustrations ; 28 cm
 Summary

 Part I: FUNDAMENTALS OF GENERAL MATHEMATICS.
 1. Whole Numbers.
 2. Common Fractions.
 3. Decimal Fractions.
 4. Ratio and Proportion.
 5. Percents.
 6. Signed Numbers. Part II: MEASUREMENT.
 7. Precision, Accuracy, and Tolerance.
 8. Customary Measurement Units.
 9. Metric Measurement Units.
 10. Steel Rules and Vernier Calipers.
 11. Micrometers. Part III: FUNDAMENTALS OF ALGEBRA.
 12. Introduction to Algebra.
 13. Basic Algebraic Operations.
 14. Simple Equations.
 15. Complex Equations.
 16. The Cartesian Coordinate System and Graphs of Linear Equations.
 17. Systems of Equations.
 18. Quadratic Equations. Part IV: FUNDAMENTALS OF PLANE GEOMETRY.
 19. Introduction to Plane Geometry.
 20. Angular Measure.
 21. Angular Geometric Principles.
 22. Triangles.
 23. Congruent and Similar Figures.
 24. Polygons.
 25. Circles. Part V: GEOMETRIC FIGURES: AREAS AND VOLUMES.
 26. Areas of Common Polygons.
 27. Areas of Circles, Sectors, Segments, and Ellipses.
 28. Prisms and Cylinders: Volumes, Surface Areas, and Weights.
 29. Pyramids and Cones: Volumes, Surface Areas, and Weights.
 30. Spheres and Composite Figures: Volumes, Surface Areas, and Weights. Part VI: BASIC STATISTICS.
 31. Graphs: Bar, Circle, and Line.
 32. Statistics. Part VII: FUNDAMENTALS OF TRIGONOMETRY.
 33. Introduction to Trigonometric Functions.
 34. Trigonometric Functions with Right Triangles.
 35. Practical Applications with Right Triangles.
 36. Functions of Any Angle, Oblique Triangles.
 37. Vectors. Appendix A: United States Customary and Metric Units of Measure. Appendix B: Formulas for Areas (A) of Plane Figures. Appendix C: Formulas for Volumes and Areas of Solid Figures. Appendix D: Answers to OddNumbered Exercises.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9781337397674 20180416
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QA39.3 .P473 2019  Unknown 
 Rayo, Agustín, author.
 Cambridge, Massachusetts : The MIT Press, [2019]
 Description
 Book — xiii, 302 pages : illustrations ; 24 cm
 Summary

An introduction to aweinspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory. This book introduces the reader to aweinspiring issues at the intersection of philosophy and mathematics. It explores ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, computability theory, the Grandfather Paradox, Newcomb's Problem, the Principle of Countable Additivity. The goal is to present some exceptionally beautiful ideas in enough detail to enable readers to understand the ideas themselves (rather than watereddown approximations), but without supplying so much detail that they abandon the effort. The philosophical content requires a mind attuned to subtlety; the most demanding of the mathematical ideas require familiarity with collegelevel mathematics or mathematical proof. The book covers Cantor's revolutionary thinking about infinity, which leads to the result that some infinities are bigger than others; time travel and free will, decision theory, probability, and the BanachTarski Theorem, which states that it is possible to decompose a ball into a finite number of pieces and reassemble the pieces so as to get two balls that are each the same size as the original. Its investigation of computability theory leads to a proof of Goedel's Incompleteness Theorem, which yields the amazing result that arithmetic is so complex that no computer could be programmed to output every arithmetical truth and no falsehood. Each chapter is followed by an appendix with answers to exercises. A list of recommended reading points readers to more advanced discussions. The book is based on a popular course (and MOOC) taught by the author at MIT.
(source: Nielsen Book Data) 9780262039413 20190423
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QA11.2 .R39 2019  Unavailable In process Request 
 Bennett, Jeffrey O., author.
 7th edition.  NY, NY : Pearson, [2019]
 Description
 Book — xviii, P13, 711, C2, A33, I13 pages ; 29 cm
 Summary

 Thinking critically
 Approaches to problem solving
 Numbers in the real world
 Managing money
 Statistical reasoning
 Putting statistics to work
 Probability : living with the odds
 Exponential astonishment
 Modeling our world
 Modeling with geometry
 Mathematics and the arts
 Mathematics and politics.
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QA39.3 .B46 2019  Unknown 
 Cham, Switzerland : Birkhäuser : Springer International Publishing, [2018]
 Description
 Book — vi, 484 pages : illustrations (some color) ; 24 cm.
 Summary

 Preface
 Havin's biomathography
 Victor Petrovich Havin, a life devoted to mathematics / A.D. Baranov, S.V. Kislyakov, and N.K. Nikolski
 List of publications of Victor Havin
 Mathematics as a source of certainty and uncertainty / V.P. Havin
 Remembering Victor Petrovich Havin / K.M. Dyakonov
 Contributed papers
 Interpolation by the derivatives of operator lipschitz functions / A.B. Aleksandrov
 Discrete multichannel scattering with steplike potential / I. AlvarezRomero and Yu. I. Lyubarskii
 Note on the resonance method for the riemann zeta function / A. Bondarenko and K. Seip
 Spectra of stationary processes on Z / A. Borichev, M. Sodin and B. Weiss
 Index formulas for toeplitz operators, approximate identities, and the WolfHavin theorem / A. Böttcher
 Bounded point derivations on certain function algebras / J.E. Brennan
 Three problems in function theory / J.E. Brennan
 Various sharp estimates for semidiscrete riesz transforms of the second order / K. Domelevo, A. Osȩkowski and S. Petermichl
 On the maximum principle for the riesz transform / V. Eiderman and F. Nazarov
 Submultiplicative operators on C...spaces / D. Faifman, H. Konig and V. Milman
 Isoperimetric functional inequalities via the maximum principle : the exterior differential systems approach / P. Ivanisvili and A. Volberg
 Fundamental groups, slalom curves and extremal length / B. Jöricke
 Sparse bounds for random discrete carleson theorems / B. Krause and M. T. Lacey
 Nodal sets of laplace eigenfunctions : estimates of the hausdorff measure in dimensions two and three / A. Logunov and E. Malinnikova
 Differentiability of solutions to the neumann problem with lowregularity data via dynamical systems / V. Mazʹya and R. Owen
 A function with support of finite measure and "Small" spectrum / F. Nazarov and A. Olevskii
 An elementary approach to operator lipschitz type estimates / V. V. Peller
 Spectral gap properties of the unitary groups : around rider's results on noncommutative sidon sets / G. Pisier
 Sublinear equations and schur's test for integral operators / I.E. Verbitsky.
(source: Nielsen Book Data) 9783319590776 20180723
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QA331 .A13 2018  Unknown 
 Goriely, Alain, author.
 First edition.  Oxford : Oxford University Press, 2018.
 Description
 Book — xxv, 141 pages : illustrations ; 18 cm.
 Summary

Applied mathematics plays a role in many different fields, especially the sciences and engineering. Goriely explains its nature and its relationship to pure mathematics, and through a variety of applications  such as mathematical modelling to predict the effects of climate change  he illustrates its power in tackling very practical problems.
(source: Nielsen Book Data) 9780198754046 20180521
Marine Biology Library (Miller), Science Library (Li and Ma)
Marine Biology Library (Miller)  Status 

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QA93 .G66 2018  Unavailable In transit Request 
Science Library (Li and Ma)  Status 

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QA93 .G66 2018  Unknown 
6. Basic technical mathematics [2018]
 Washington, Allyn J.
 Eleventh edition.  [Boston] : Pearson, [2018]
 Description
 Book — 1 volume (various pagings) : illustrations (some color) ; 29 cm
 Summary

 1 Basic Algebraic Operations 1.1 Numbers 1.2 Fundamental Operations of Algebra 1.3 Calculators and Approximate Numbers 1.4 Exponents and Unit Conversions 1.5 Scientific Notation 1.6 Roots and Radicals 1.7 Addition and Subtraction of Algebraic Expressions 1.8 Multiplication of Algebraic Expressions 1.9 Division of Algebraic Expressions 1.10 Solving Equations 1.11 Formulas and Literal Equations 1.12 Applied Word Problems
 2 Geometry 2.1 Lines and Angles 2.2 Triangles 2.3 Quadrilaterals 2.4 Circles 2.5 Measurement of Irregular Areas 2.6 Solid Geometric Figures
 3 Functions and Graphs 3.1 Introduction to Functions 3.2 More about Functions 3.3 Rectangular Coordinates 3.4 The Graph of a Function 3.5 Graphs on the Graphing Calculator 3.6 Graphs of Functions Defined by Tables of Data
 4 The Trigonometric Functions 4.1 Angles 4.2 Defining the Trigonometric Functions 4.3 Values of the Trigonometric Functions 4.4 The Right Triangle 4.5 Applications of Right Triangles
 5 Systems of Linear Equations Determinants 5.1 Linear Equations and Graphs of Linear Functions 5.2 Systems of Equations and Graphical Solutions 5.3 Solving Systems of Two Linear Equations in Two Unknowns Algebraically 5.4 Solving Systems of Two Linear Equations in Two Unknowns by Determinants 5.5 Solving Systems of Three Linear Equations in Three Unknowns Algebraically 5.6 Solving Systems of Three Linear Equations in Three Unknowns by Determinants
 6 Factoring and Fractions 6.1 Factoring: Greatest Common Factor and Difference of Squares 6.2 Factoring Trinomials 6.3 The Sum and Difference of Cubes 6.4 Equivalent Fractions 6.5 Multiplication and Division of Fractions 6.6 Addition and Subtraction of Fractions 6.7 Equations Involving Fractions
 7 Quadratic Equations 7.1 Quadratic Equations Solution by Factoring 7.2 Completing the Square 7.3 The Quadratic Formula 7.4 The Graph of the Quadratic Function
 8 Trigonometric Functions of Any Angle 8.1 Signs of the Trigonometric Functions 8.2 Trigonometric Functions of Any Angle 8.3 Radians 8.4 Applications of Radian Measure
 9 Vectors and Oblique Triangles 9.1 Introduction to Vectors 9.2 Components of Vectors 9.3 Vector Addition by Components 9.4 Applications of Vectors 9.5 Oblique Triangles, the Law of Sines 9.6 The Law of Cosines
 10 Graphs of the Trigonometric Functions 10.1 Graphs of y = a sin x and y = a cos x 10.2 Graphs of y = a sin bx and y = a cos bx 10.3 Graphs of y = a sin (bx + c) and y = a cos (bx + c) 10.4 Graphs of y = tan x, y = cot x, y = sec x, y = csc x 10.5 Applications of the Trigonometric Graphs 10.6 Composite Trigonometric Curves
 11 Exponents and Radicals 11.1 Simplifying Expressions with Integer Exponents 11.2 Fractional Exponents 11.3 Simplest Radical Form 11.4 Addition and Subtraction of Radicals 11.5 Multiplication and Division of Radicals
 12 Complex Numbers 12.1 Basic Definitions 12.2 Basic Operations with Complex Numbers 12.3 Graphical Representation of Complex Numbers 12.4 Polar Form of a Complex Number 12.5 Exponential Form of a Complex Number 12.6 Products, Quotients, Powers, and Roots of Complex Numbers 12.7 An Application to Alternatingcurrent (ac) Circuits
 13 Exponential and Logarithmic Functions 13.1 Exponential Functions 13.2 Logarithmic Functions 13.3 Properties of Logarithms 13.4 Logarithms to the Base
 10 13.5 Natural Logarithms 13.6 Exponential and Logarithmic Equations 13.7 Graphs on Logarithmic and Semilogarithmic Paper
 14 Additional Types of Equations and Systems of Equations 14.1 Graphical Solution of Systems of Equations 14.2 Algebraic Solution of Systems of Equations 14.3 Equations in Quadratic Form 14.4 Equations with Radicals
 15 Equations of Higher Degree 15.1 The Remainder and Factor Theorems Synthetic Division 15.2 The Roots of an Equation 15.3 Rational and Irrational Roots
 16 Matrices Systems of Linear Equations 16.1 Matrices: Definitions and Basic Operations 16.2 Multiplication of Matrices 16.3 Finding the Inverse of a Matrix 16.4 Matrices and Linear Equations 16.5 Gaussian Elimination 16.6 Higherorder Determinants
 17 Inequalities 17.1 Properties of Inequalities 17.2 Solving Linear Inequalities 17.3 Solving Nonlinear Inequalities 17.4 Inequalities Involving Absolute Values 17.5 Graphical Solution of Inequalities with Two Variables 17.6 Linear Programming
 18 Variation 18.1 Ratio and Proportion 18.2 Variation
 19 Sequences and the Binomial Theorem 19.1 Arithmetic Sequences 19.2 Geometric Sequences 19.3 Infinite Geometric Series 19.4 The Binomial Theorem
 20 Additional Topics in Trigonometry 20.1 Fundamental Trigonometric Identities 20.2 The Sum and Difference Formulas 20.3 DoubleAngle Formulas 20.4 HalfAngle Formulas 20.5 Solving Trigonometric Equations 20.6 The Inverse Trigonometric Functions
 21 Plane Analytic Geometry 21.1 Basic Definitions 21.2 The Straight Line 21.3 The Circle 21.4 The Parabola 21.5 The Ellipse 21.6 The Hyperbola 21.7 Translation of Axes 21.8 The Seconddegree Equation 21.9 Rotation of Axes 21.10 Polar Coordinates 21.11 Curves in Polar Coordinates
 22 Introduction to Statistics 22.1 Graphical Displays of Data 22.2 Measures of Central Tendency 22.3 Standard Deviation 22.4 Normal Distributions 22.5 Statistical Process Control 22.6 Linear Regression 22.7 Nonlinear Regression Appendix A Solving Word Problems Appendix B Units of Measurement.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780134437705 20170515
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QA39.3 .W365 2018  Unknown 
 Washington, Allyn J.
 Eleventh edition.  Boston : Pearson, [2018]
 Description
 Book — 1 volume (various pagings) : color illustrations ; 29 cm
 Summary

 1 Basic Algebraic Operations 1.1 Numbers 1.2 Fundamental Operations of Algebra 1.3 Calculators and Approximate Numbers 1.4 Exponents and Unit Conversions 1.5 Scientific Notation 1.6 Roots and Radicals 1.7 Addition and Subtraction of Algebraic Expressions 1.8 Multiplication of Algebraic Expressions 1.9 Division of Algebraic Expressions 1.10 Solving Equations 1.11 Formulas and Literal Equations 1.12 Applied Word Problems
 2 Geometry 2.1 Lines and Angles 2.2 Triangles 2.3 Quadrilaterals 2.4 Circles 2.5 Measurement of Irregular Areas 2.6 Solid Geometric Figures
 3 Functions and Graphs 3.1 Introduction to Functions 3.2 More about Functions 3.3 Rectangular Coordinates 3.4 The Graph of a Function 3.5 Graphs on the Graphing Calculator 3.6 Graphs of Functions Defined by Tables of Data
 4 The Trigonometric Functions 4.1 Angles 4.2 Defining the Trigonometric Functions 4.3 Values of the Trigonometric Functions 4.4 The Right Triangle 4.5 Applications of Right Triangles
 5 Systems of Linear Equations Determinants 5.1 Linear Equations and Graphs of Linear Functions 5.2 Systems of Equations and Graphical Solutions 5.3 Solving Systems of Two Linear Equations in Two Unknowns Algebraically 5.4 Solving Systems of Two Linear Equations in Two Unknowns by Determinants 5.5 Solving Systems of Three Linear Equations in Three Unknowns Algebraically 5.6 Solving Systems of Three Linear Equations in Three Unknowns by Determinants
 6 Factoring and Fractions 6.1 Factoring: Greatest Common Factor and Difference of Squares 6.2 Factoring Trinomials 6.3 The Sum and Difference of Cubes 6.4 Equivalent Fractions 6.5 Multiplication and Division of Fractions 6.6 Addition and Subtraction of Fractions 6.7 Equations Involving Fractions
 7 Quadratic Equations 7.1 Quadratic Equations Solution by Factoring 7.2 Completing the Square 7.3 The Quadratic Formula 7.4 The Graph of the Quadratic Function
 8 Trigonometric Functions of Any Angle 8.1 Signs of the Trigonometric Functions 8.2 Trigonometric Functions of Any Angle 8.3 Radians 8.4 Applications of Radian Measure
 9 Vectors and Oblique Triangles 9.1 Introduction to Vectors 9.2 Components of Vectors 9.3 Vector Addition by Components 9.4 Applications of Vectors 9.5 Oblique Triangles, the Law of Sines 9.6 The Law of Cosines
 10 Graphs of the Trigonometric Functions 10.1 Graphs of y = a sin x and y = a cos x 10.2 Graphs of y = a sin bx and y = a cos bx 10.3 Graphs of y = a sin (bx + c) and y = a cos (bx + c) 10.4 Graphs of y = tan x, y = cot x, y = sec x, y = csc x 10.5 Applications of the Trigonometric Graphs 10.6 Composite Trigonometric Curves
 11 Exponents and Radicals 11.1 Simplifying Expressions with Integer Exponents 11.2 Fractional Exponents 11.3 Simplest Radical Form 11.4 Addition and Subtraction of Radicals 11.5 Multiplication and Division of Radicals
 12 Complex Numbers 12.1 Basic Definitions 12.2 Basic Operations with Complex Numbers 12.3 Graphical Representation of Complex Numbers 12.4 Polar Form of a Complex Number 12.5 Exponential Form of a Complex Number 12.6 Products, Quotients, Powers, and Roots of Complex Numbers 12.7 An Application to Alternatingcurrent (ac) Circuits
 13 Exponential and Logarithmic Functions 13.1 Exponential Functions 13.2 Logarithmic Functions 13.3 Properties of Logarithms 13.4 Logarithms to the Base
 10 13.5 Natural Logarithms 13.6 Exponential and Logarithmic Equations 13.7 Graphs on Logarithmic and Semilogarithmic Paper
 14 Additional Types of Equations and Systems of Equations 14.1 Graphical Solution of Systems of Equations 14.2 Algebraic Solution of Systems of Equations 14.3 Equations in Quadratic Form 14.4 Equations with Radicals
 15 Equations of Higher Degree 15.1 The Remainder and Factor Theorems Synthetic Division 15.2 The Roots of an Equation 15.3 Rational and Irrational Roots
 16 Matrices Systems of Linear Equations 16.1 Matrices: Definitions and Basic Operations 16.2 Multiplication of Matrices 16.3 Finding the Inverse of a Matrix 16.4 Matrices and Linear Equations 16.5 Gaussian Elimination 16.6 Higherorder Determinants
 17 Inequalities 17.1 Properties of Inequalities 17.2 Solving Linear Inequalities 17.3 Solving Nonlinear Inequalities 17.4 Inequalities Involving Absolute Values 17.5 Graphical Solution of Inequalities with Two Variables 17.6 Linear Programming
 18 Variation 18.1 Ratio and Proportion 18.2 Variation
 19 Sequences and the Binomial Theorem 19.1 Arithmetic Sequences 19.2 Geometric Sequences 19.3 Infinite Geometric Series 19.4 The Binomial Theorem
 20 Additional Topics in Trigonometry 20.1 Fundamental Trigonometric Identities 20.2 The Sum and Difference Formulas 20.3 DoubleAngle Formulas 20.4 HalfAngle Formulas 20.5 Solving Trigonometric Equations 20.6 The Inverse Trigonometric Functions
 21 Plane Analytic Geometry 21.1 Basic Definitions 21.2 The Straight Line 21.3 The Circle 21.4 The Parabola 21.5 The Ellipse 21.6 The Hyperbola 21.7 Translation of Axes 21.8 The Seconddegree Equation 21.9 Rotation of Axes 21.10 Polar Coordinates 21.11 Curves in Polar Coordinates
 22 Introduction to Statistics 22.1 Graphical Displays of Data 22.2 Measures of Central Tendency 22.3 Standard Deviation 22.4 Normal Distributions 22.5 Statistical Process Control 22.6 Linear Regression 22.7 Nonlinear Regression
 23 The Derivative 23.1 Limits 23.2 The Slope of a Tangent to a Curve 23.3 The Derivative 23.4 The Derivative as an Instantaneous Rate of Change 23.5 Derivatives of Polynomials 23.6 Derivatives of Products and Quotients of Functions 23.7 The Derivative of a Power of a Function 23.8 Differentiation of Implicit Functions 23.9 Higher Derivatives
 24 Applications of the Derivative 24.1 Tangents and Normals 24.2 Newton's Method for Solving Equations 24.3 Curvilinear Motion 24.4 Related Rates 24.5 Using Derivatives in Curve Sketching 24.6 More on Curve Sketching 24.7 Applied Maximum and Minimum Problems 24.8 Differentials and Linear Approximations
 25 Integration 25.1 Antiderivatives 25.2 The Indefinite Integral 25.3 The Area Under a Curve 25.4 The Definite Integral 25.5 Numerical Integration: The Trapezoidal Rule 25.6 Simpson's Rule
 26 Applications of Integration 26.1 Applications of the Indefinite Integral 26.2 Areas by Integration 26.3 Volumes by Integration 26.4 Centroids 26.5 Moments of Inertia 26.6 Other Applications
 27 Differentiation of Transcendental Functions 27.1 Derivatives of the Sine and Cosine Functions 27.2 Derivatives of the Other Trigonometric Functions 27.3 Derivatives of the Inverse Trigonometric Functions 27.4 Applications 27.5 Derivative of the Logarithmic Function 27.6 Derivative of the Exponential Function 27.7 L'Hospital's Rule 27.8 Applications
 28 Methods of Integration 28.1 The Power Rule for Integration 28.2 The Basic Logarithmic Form 28.3 The Exponential Form 28.4 Basic Trigonometric Forms 28.5 Other Trigonometric Forms 28.6 Inverse Trigonometric Forms 28.7 Integration by Parts 28.8 Integration by Trigonometric Substitution 28.9 Integration by Partial Fractions: Nonrepeated Linear Factors 28.10 Integration by Partial Fractions: Other Cases 28.11 Integration by Use of Tables
 29 Partial Derivatives and Double Integrals 29.1 Functions of Two Variables 29.2 Curves and Surfaces in Three Dimensions 29.3 Partial Derivatives 29.4 Double Integrals
 30 Expansion of Functions in Series 30.1 Infinite Series 30.2 Maclaurin Series 30.3 Operations with Series 30.4 Computations by Use of Series Expansions 30.5 Taylor Series 30.6 Introduction to Fourier Series 30.7 More About Fourier Series
 31 Differential Equations 31.1 Solutions of Differential Equations 31.2 Separation of Variables 31.3 Integrating Combinations 31.4 The Linear Differential Equation of the First Order 31.5 Numerical Solutions of Firstorder Equations 31.6 Elementary Applications 31.7 Higherorder Homogeneous Equations 31.8 Auxiliary Equation with Repeated or Complex Roots 31.9 Solutions of Nonhomogeneous Equations 31.10 Applications of Higherorder Equations 31.11 Laplace Transforms 31.12 Solving Differential Equations by Laplace Transforms Appendix A Solving Word Problems Appendix B Units of Measurement Appendix C Newton's Method Appendix D A Table of Integrals.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780134437736 20170515
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QA37.3 .W38 2018  Unknown 
 Charlotte, NC : Information Age Publishing, Inc., [2018]
 Description
 Book — xiv, 360 pages ; 25 cm.
 Summary

 Perspectives and mathematics methods courses. Setting the stage: explorations of mathematics teacher educator practices / Signe E. Kastberg, Andrew M. Tyminski, Alyson E. Lischka, and Wendy B. Sanches ; Political conocimiento for teaching mathematics: why teachers need it and how to develop it / Rochelle Gutiérrez ; Challenges in mathematics teacher education from a (mostly) constructivist perspective / Martin A. Simon ; Teaching a mathematics methods courses: understanding learning from a situative perspective / Elham Kazemi
 Using perspectives to inform scholarly inquiry and practice. Using the knowledge quartet to support prospective teacher development during methods coursework / Tracy L. Weston ; Three learning perspectives for translating curriculum into instruction / Darrell Earnest and Julie M. Amador ; Diverse perspectives on sociopolitical framings for mathematics methods / Frances K. Harper, Beth HerbelEisenmann, and Andrea McCloskey
 Learning goals and activities in mathematics methods courses. Experiences using clinical interviews in mathematics methods courses to empower prospective teachers: a conversation among three critical mathematics educators / Theodore Chao, Jessica Hale, and Stephanie Behm Cross ; Situating learning for secondary mathematics prospective teachers within the context of rehearsals: challenges and resulting adaptations / Fran Arbaugh, Anne E. Adams, Dawn Teuscher, Laura R. Van Zoest, and Robert Wieman ; Rehearsing for the politics of teaching mathematics / Rochelle Gutiérrez, Juan Manuael Gerardo, Gabriela E. Vargas, and Sonya E. Irving ; Activities and a cognitive pedagogy for fostering prospective teachers' conceptdevelopment practices in mathematics methods courses / Barbara Kinach, Stephen Bismarck, and Wesam Salem
 Activity development. An illustration of scholarly inquiry from the cognitive perspective: the development of an integer activity for prospective elementary or middle school teachers / Nicole M. WessmanEnzinger and Wesam Salem ; Enhancing activities in mathematics methods courses to achieve sociopolitical goals / Brian R. Lawler, Raymond LaRochelle, and Angela Thompson ; Shifting focus: exploring the evolution of the learner analysis / Jennifer Ward
 Activities and implementations. Bringing mathematics methods into classrooms / Rajeeve Virmani, Megan W. Taylor, and Chepina Rumsey, coauthoring with: Tabatha Box, Elham Kazemi, Melinda Knapp, Savarose Lynch, Catherine Schwartz, Barbara Swartz, Tracy Weston, Dawn Woods ; Prospective teachers analyzing transcripts of teaching / Laura M. Singletary, Zandra de Araujo, and AnnaMarie Connor ; Doing mathematics across languages: exploring possibilities for supporting emergent bilinguals' mathematical communication and engagement / Frances K. Harper, Wendy B. Sanchez, and Beth HerbelEisenmann ; Using mathematics autobiography stories to support emerging elementary mathematics teachers' sociopolitical consciousness and identity / Anne Marie Marshall and Theodore Chao
 Looking inward. Interpretations and uses of classroom video in teacher eduction: comparison across three perspectives / Stephanie Casey, Ryan Fox, and Alyson E. Lischka ; Theoretical perspectives, goals, and activities for secondary mathematics education methods courses / Ryan C. Smith, Cynthia E. Taylor, and Dongjo Shin ; The "Mirror Test": a tool for reflection on our sociopolitical identities as mathematics teacher educators / Andrea McCloskey, Brian R. Lawler, and Theodore Chao
 Commentary. A commentary with urgency: looking across theoretical perspectives to put relationship building with underserved students at the forefront of our work / Richard Kitchen.
(source: Nielsen Book Data) 9781641130264 20180115
 Online
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QA11.2 .B8674 2018  Unknown 
 Cham, Switzerland : Springer, [2018]
 Description
 Book — ix, 256 pages : illustrations ; 24 cm.
 Summary

 1. Notes on Weyl algebras and Dmodules / Markus Brodmann
 2. Inverse systems of local rings / Juan Elias
 3. Lectures on the representation type of a projective variety / Rosa M. MiróRoig
 4. Simplicial toric varieties which are settheoretic complete intersections / Marcel Morales.
(source: Nielsen Book Data) 9783319755649 20180917
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Serials  
Shelved by Series title V.2210  Unknown 
 [Providence, Rhode Island] : American Mathematical Society, [2018]
 Description
 Book — xv, 158 pages : illustrations ; 26 cm.
 Summary

 O. Arizmendi and O. JuarezRomero, On bounds for the energy of graphs and digraphs P. Carrillo Rouse, The AtiyahSinger cobordism invariance and the tangent groupoid C. GonzalezTokman, Multiplicative ergodic theorems for transfer operators: Towards the identification and analysis of coherent structures in nonautonomous dynamical systems R. Jimenez Rolland and J. Maya Duque, Representation stability for the pure cactus group V. Kleptsyn and A. Rechtman, Two proofs of Taubes' theorem on strictly ergodic flows H. Lange and A. Ortega, The fibres of the Prym map of etale cyclic coverings of degree
 7 C. Lozano Huerta, Extremal higher codimension cycles of the space of complete conics C. Meneses, On Shimura's isomorphism and $(\Gamma, G)$bundles on the upperhalf plane M. Torres, On the dual of $BV$ C. Vargas, A general solution to (free) deterministic equivalents.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9781470442866 20181022
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

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QA27 .M49 M49 2018  Unknown 
 Grimaldi, Ralph P., author.
 Fifth edition [2017 reissue].  New York, N.Y. : Pearson, 2018.
 Description
 Book — 1 volume (unpaged) : illustrations ; 26 cm.
 Summary

 PART 1. FUNDAMENTALS OF DISCRETE MATHEMATICS.
 1. Fundamental Principles of Counting.
 The Rules of Sum and Product.
 Permutations.
 Combinations: The Binomial Theorem.
 Combinations with Repetition.
 The Catalan Numbers (Optional).
 Summary and Historical Review.
 2. Fundamentals of Logic.
 Basic Connectives and Truth Tables.
 Logical Equivalence: The Laws of Logic.
 Logical Implication: Rules of Inference.
 The Use of Quantifiers.
 Quantifiers, Definitions, and the Proofs of Theorems.
 Summary and Historical Review.
 3. Set Theory.
 Sets and Subsets.
 Set Operations and the Laws of Set Theory.
 Counting and Venn Diagrams.
 A First Word on Probability.
 The Axioms of Probability (Optional).
 Conditional Probability: Independence (Optional).
 Discrete Random Variables (Optional).
 Summary and Historical Review.
 4. Properties of the Integers: Mathematical Induction.
 The WellOrdering Principle: Mathematical Induction.
 Recursive Definitions.
 The Division Algorithm: Prime Numbers.
 The Greatest Common Divisor: The Euclidean Algorithm.
 The Fundamental Theorem of Arithmetic.
 Summary and Historical Review.
 5. Relations and Functions.
 Cartesian Products and Relations.
 Functions: Plain and OnetoOne.
 Onto Functions: Stirling Numbers of the Second Kind.
 Special Functions.
 The Pigeonhole Principle.
 Function Composition and Inverse Functions.
 Computational Complexity.
 Analysis of Algorithms.
 Summary and Historical Review.
 6. Languages: Finite State Machines.
 Language: The Set Theory of Strings.
 Finite State Machines: A First Encounter.
 Finite State Machines: A Second Encounter.
 Summary and Historical Review.
 7. Relations: The Second Time Around.
 Relations Revisited: Properties of Relations.
 Computer Recognition: ZeroOne Matrices and Directed Graphs.
 Partial Orders: Hasse Diagrams.
 Equivalence Relations and Partitions.
 Finite State Machines: The Minimization Process.
 Summary and Historical Review.
 PART 2. FURTHER TOPICS IN ENUMERATION.
 8. The Principle of Inclusion and Exclusion.
 The Principle of Inclusion and Exclusion.
 Generalizations of the Principle.
 Derangements: Nothing Is in Its Right Place.
 Rook Polynomials.
 Arrangements with Forbidden Positions.
 Summary and Historical Review.
 9. Generating Functions.
 Introductory Examples.
 Definition and Examples: Calculational Techniques.
 Partitions of Integers.
 The Exponential Generating Functions.
 The Summation Operator.
 Summary and Historical Review.
 10. Recurrence Relations.
 The FirstOrder Linear Recurrence Relation.
 The SecondOrder Linear Homogeneous Recurrence Relation with Constant Coefficients.
 The Nonhomogeneous Recurrence Relation.
 The Method of Generating Functions.
 A Special Kind of Nonlinear Recurrence Relation (Optional).
 Divide and Conquer Algorithms.
 Summary and Historical Review.
 PART 3. GRAPH THEORY AND APPLICATIONS.
 11. An Introduction to Graph Theory.
 Definitions and Examples.
 Subgraphs, Complements, and Graph Isomorphism.
 Vertex Degree: Euler Trails and Circuits.
 Planar Graphs.
 Hamilton Paths and Cycles.
 Graph Coloring and Chromatic Polynomials.
 Summary and Historical Review.
 12. Trees.
 Definitions, Properties, and Examples.
 Rooted Trees.
 Trees and Sorting.
 Weighted Trees and Prefix Codes.
 Biconnected Components and Articulation Points.
 Summary and Historical Review.
 13. Optimization and Matching.
 Dijkstra's Shortest Path Algorithm.
 Minimal Spanning Trees: The Algorithms of Kruskal and Prim.
 Transport Networks: The MaxFlow MinCut Theorem.
 Matching Theory.
 Summary and Historical Review.
 PART 4. MODERN APPLIED ALGEBRA.
 14. Rings and Modular Arithmetic.
 The Ring Structure: Definition and Examples.
 Ring Properties and Substructures.
 The Integers Modulo n. Cryptology.
 Ring Homomorphisms and Isomorphisms: The Chinese Remainder Theorem.
 Summary and Historical Review.
 15. Boolean Algebra and Switching Functions.
 Switching Functions: Disjunctive and Conjunctive Normal Forms.
 Gating Networks: Minimal Sums of Products: Karnaugh Maps.
 Further Applications: Don'tCare Conditions.
 The Structure of a Boolean Algebra (Optional).
 Summary and Historical Review.
 16. Groups, Coding Theory, and Polya's Theory of Enumeration.
 Definition, Examples, and Elementary Properties.
 Homomorphisms, Isomorphisms, and Cyclic Groups.
 Cosets and Lagrange's Theorem.
 The RSA Cipher (Optional).
 Elements of Coding Theory.
 The Hamming Metric.
 The ParityCheck and Generator Matrices.
 Group Codes: Decoding with Coset Leaders.
 Hamming Matrices.
 Counting and Equivalence: Burnside's Theorem.
 The Cycle Index.
 The Pattern Inventory: Polya's Method of Enumeration.
 Summary and Historical Review.
 17. Finite Fields and Combinatorial Designs.
 Polynomial Rings.
 Irreducible Polynomials: Finite Fields.
 Latin Squares.
 Finite Geometries and Affine Planes.
 Block Designs and Projective Planes.
 Summary and Historical Review. Appendices.
 Exponential and Logarithmic Functions.
 Matrices, Matrix Operations, and Determinants.
 Countable and Uncountable Sets. Solutions. Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780321385024 20171009
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA39.2 .G748 2018  Unknown 
12. Discrete mathematics [2018]
 Johnsonbaugh, Richard, 1941 author.
 Eighth edition.  NY, NY : Pearson, [2018]
 Description
 Book — xix, 747 pages ; 27 cm
 Summary

For one or twoterm introductory courses in discrete mathematics. An accessible introduction to the topics of discrete math, this bestselling text also works to expand students' mathematical maturity. With nearly 4,500 exercises, Discrete Mathematics provides ample opportunities for students to practice, apply, and demonstrate conceptual understanding. Exercise sets features a large number of applications, especially applications to computer science. The almost 650 worked examples provide ready reference for students as they work. A strong emphasis on the interplay among the various topics serves to reinforce understanding. The text models various problemsolving techniques in detail, then provides opportunity to practice these techniques. The text also builds mathematical maturity by emphasizing how to read and write proofs. Many proofs are illustrated with annotated figures and/or motivated by special Discussion sections. The side margins of the text now include "tiny URLs" that direct students to relevant applications, extensions, and computer programs on the textbook website.
(source: Nielsen Book Data) 9780321964687 20170522
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA39.2 .J65 2018  Unknown 
13. Discrete mathematics [2006]
 Fifth edition.  New York, NY : Pearson, [2018]
 Description
 Book — xix, 664 pages : illustrations (some color) ; 24 cm.
 Summary

 (Each Chapter concludes with "Historical Notes, " "Supplementary Exercises, " "Computer Projects, " and "Suggested Readings.").
 1: An Introduction to Combinatorial Problems and Techniques Section 1.1 The Time to Complete a Project Section 1.2 A Matching Problem Section 1.3 A Knapsack Problem Section 1.4 Algorithms and Their Efficiency Historical Notes Supplementary Exercises Computer Projects Suggested Readings
 2: Sets, Relations, and Functions Section 2.1 Set Operations Section 2.2 Equivalence Relations Section 2.3_ Partial Ordering Relations Section 2.4 Functions Section 2.5 Mathematical Induction Section 2.6 Applications Historical Notes Supplementary Exercises Computer Projects Suggested Readings
 3: Coding Theory Section 3.1 Congruence Section 3.2 The Euclidean Algorithm and Diophantine Equations Section 3.3 The RSA Method Section 3.4 ErrorDetecting and ErrorCorrecting Codes Section 3.5 Matrix Codes Section 3.6 Matrix Codes That Correct All SingleDigit Errors Historical Notes Supplementary Exercises Computer Projects Suggested Readings
 4: Graphs Section 4.1 Graphs and Their Representations Section 4.2 Paths and Circuits Section 4.3 Shortest Paths and Distance Section 4.4 Coloring a Graph Section 4.5 Directed Graphs and Multigraphs Historical Notes Supplementary Exercises Computer Projects Suggested Readings
 5: Trees Section 5.1 Properties of Trees Section 5.2 Spanning Trees Section 5.3 DepthFirst Search Section 5.4 Rooted Trees Section 5.5 Binary Trees and Traversals Section 5.6 Optimal Binary Trees and Binary Search Trees Historical Notes Supplementary Exercises Computer Projects Suggested Readings
 6: Matching Section 6.1 Systems of Distinct Representatives Section 6.2 Matchings in Graphs Section 6.3 A Matching Algorithm Section 6.4 Applications of the Algorithm Section 6.5 The Hungarian Method Historical Notes Supplementary Exercises Computer Projects Suggested Readings
 7: Network Flows Section 7.1 Flows and Cuts Section 7.2 A Flow Augmentation Algorithm Section 7.3 The MaxFlow MinCut Theorem Section 7.4 Flows and Matchings Historical Notes Supplementary Exercises Computer Projects Suggested Readings
 8: Counting Techniques Section 8.1 Pascal's Triangle and the Binomial Theorem Section 8.3 Permutations and Combinations Section 8.4 Arrangements and Selections with Repetitions Section 8.5 Probability Section 8.6* The Principle of InclusionExclusion Section 8.7* Generating Permutations and r Combinations Historical Notes Supplementary Exercises Computer Projects Suggested Readings
 9: Recurrence Relations and Generating Functions Section 9.1 Recurrence Relations Section 9.2 The Method of Iteration Section 9.3 Linear Difference Equations with Constant Coefficients Section 9.4* Analyzing the Efficiency of Algorithms with Recurrence Relations Section 9.5 Counting with Generating Functions Section 9.6 The Algebra of Generating Functions Historical Notes Supplementary Exercises Computer Projects Suggested Readings
 10: Combinatorial Circuits and Finite State Machines Section 10.1 Logical Gates Section 10.2 Creating Combinatorial Circuits Section 10.3 Karnaugh Maps Section 10.4 Finite State Machines Historical Notes Supplementary Exercises Computer Projects Suggested Readings Appendix A: An Introduction to Logic and Proof Section A.1 Statements and Connectives Section A.2 Logical Equivalence Section A.3 Methods of Proof Historical Notes Supplementary Exercises Suggested Readings Appendix B Matrices Historical Notes Appendix C The Algorithms in This Book Bibliography Answers to oddnumbered exercises Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780134689562 20180115
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Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA39.3 .D58 2018  Unknown 
14. Excursions in modern mathematics [2018]
 Tannenbaum, Peter, 1946 author.
 9th edition.  [Upper Saddle, NJ] : Pearson, [2018]
 Description
 Book — xviii, 570 pages : color illustrations ; 29 cm
 Summary

 1 The Mathematics of Elections 1.1 The Basic Elements of an Election 1.2 The Plurality Method 1.3 The Borda Count Method 1.4 The PluralitywithElimination Method 1.5 The Method of Pairwise Comparisons 1.6 Fairness Criteria and Arrow's Impossibility Theorem
 2 The Mathematics of Power 2.1 An Introduction to Weighted Voting 2.2 Banzhaf Power 2.3 ShapleyShubik Power 2.4 Subsets and Permutations
 3 The Mathematics of Sharing 3.1 FairDivision Games 3.2 The DividerChooser Method 3.3 The LoneDivider Method 3.4 The LoneChooser Method 3.5 The Method of Sealed Bids 3.6 The Method of Markers
 4 The Mathematics of Apportionment 4.1 Apportionment Problems and Apportionment Methods 4.2 Hamilton's Method 4.3 Jefferson's Method 4.4 Adams's and Webster's Methods 4.5 The HuntingtonHill Method 4.6 The Quota Rule and Apportionment Paradoxes
 5 The Mathematics of Getting Around 5.1 StreetRouting Problems 5.2 An Introduction to Graphs 5.3 Euler's Theorems and Fleury's Algorithm 5.4 Eulerizing and SemiEulerizing Graphs
 6 The Mathematics of Touring 6.1 What Is a Traveling Salesman Problem? 6.2 Hamilton Paths and Circuits 6.3 The BruteForce Algorithm 6.4 The NearestNeighbor and Repetitive NearestNeighbor Algorithms 6.5 The CheapestLink Algorithm
 7 The Mathematics of Networks 7.1 Networks and Trees 7.2 Spanning Trees, MSTs, and MaxSTs 7.3 Kruskal's Algorithm
 8 The Mathematics of Scheduling 8.1 An Introduction to Scheduling 8.2 Directed Graphs 8.3 PriorityList Scheduling 8.4 The DecreasingTime Algorithm 8.5 Critical Paths and the CriticalPath Algorithm
 9 Population Growth Models 9.1 Sequences and Population Sequences 9.2 The Linear Growth Model 9.3 The Exponential Growth Model 9.4 The Logistic Growth Model
 10 Financial Mathematics 10.1 Percentages 10.2 Simple Interest 10.3 Compound Interest 10.4 Retirement Savings 10.5 Consumer Debt
 11 The Mathematics of Symmetry 11.1 Rigid Motions 11.2 Reflections 11.3 Rotations 11.4 Translations 11.5 Glide Reflections 11.6 Symmetries and Symmetry Types 11.7 Patterns
 12 Fractal Geometry 12.1 The Koch Snowflake and SelfSimilarity 12.2 The Sierpinski Gasket and the Chaos Game 12.3 The Twisted Sierpinski Gasket 12.4 The Mandelbrot Set
 13 Fibonacci Numbers and the Golden Ratio 13.1 Fibonacci Numbers 13.2 The Golden Ratio 13.3 Gnomons 13.4 Spiral Growth in Nature
 14 Censuses, Surveys, Polls, and Studies 14.1 Enumeration 14.2 Measurement 14.3 Cause and Effect
 15 Graphs, Charts, and Numbers 15.1 Graphs and Charts 15.2 Means, Medians, and Percentiles 15.3 Ranges and Standard Deviations
 16 Probabilities, Odds, and Expectations 16.1 Sample Spaces and Events 16.2 The Multiplication Rule, Permutations, and Combinations 16.3 Probabilities and Odds 16.4 Expectations 16.5 Measuring Risk
 17 The Mathematics of Normality 17.1 Approximately Normal Data Sets 17.2 Normal Curves and Normal Distributions 17.3 Modeling Approximately Normal Distributions 17.4 Normality in Random Events Answers to Selected Exercises Index Photo Credits.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780134468372 20170313
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA36 .T35 2018  Unknown 
15. Finite mathematics [2018]
 Waner, Stefan, 1949 author.
 Seventh edition.  Boston, MA : Cengage Learning, [2018]
 Description
 Book — 1 volume (various pagings) : illustrations (some color) ; 27 cm
 Summary

 0. PRECALCULUS REVIEW. Real Numbers. Exponents and Radicals. Multiplying and Factoring Algebraic Equations. Rational Expressions. Solving Polynomial Equations. Solving Miscellaneous Equations. The Coordinate Plane. Logarithms.
 1. FUNCTIONS AND APPLICATIONS. Functions from the Numerical, Algebraic, and Graphical Viewpoints. Functions and Models. Linear Functions and Models. Linear Regression.
 2. THE MATHEMATICS OF FINANCE. Simple Interest. Compound Interest. Annuities, Loans, and Bonds.
 3. SYSTEMS OF LINEAR EQUATIONS AND MATRICES. Systems of Two Equations in Two Unknowns. Using Matrices to Solve Systems of Equations. Applications of Systems of Linear Equations.
 4. MATRIX ALGEBRA AND APPLICATIONS. Matrix Addition and Scalar Multiplication. Matrix Multiplication. Matrix Inversion. Game Theory. InputOutput Models.
 5. LINEAR PROGRAMMING. Graphing Linear Inequalities. Solving Linear Programming Problems Graphically. The Simplex Method: Solving Standard Maximization Problems. The Simplex Method: Solving General Linear Programming Problems. The Simplex Method and Duality.
 6. SETS AND COUNTING. Sets and Set Operations. Cardinality. The Addition and Multiplication Principles. Permutations and Combinations.
 7. PROBABILITY. Sample Spaces and Events. Relative Frequency. Probability and Probability Models. Probability and Counting Techniques. Conditional Probability and Independence. Bayes' Theorem and Applications. Markov Systems.
 8. RANDOM VARIABLES AND STATISTICS. Random Variables and Distributions. Bernoulli Trials and Binomial Random Variables. Measures of Central Tendency. Measures of Dispersion. Normal Distributions.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9781337280426 20170410
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA37.3 .W36 2018  Unknown 
16. Finite mathematics & its applications [2018]
 Goldstein, Larry Joel.
 Twelfth edition / Larry J. Goldstein, Goldstein Educational Technologies, David I. Schneider, University of Maryland, Martha J. Siegel, Towson State University, Steven M. Hair, Pennsylvania State University.  Ny, NY : Pearson, [2018]
 Description
 Book — 1 volume (various pagings) ; 28 cm
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA39.3 .G65 2018  Unknown 
17. Finite mathematics and applied calculus [2018]
 Waner, Stefan, 1949 author.
 Seventh edition.  Boston, MA : Cengage Learning, [2018]
 Description
 Book — 1 volume (various pagings) ; 26 cm
 Summary

 0. PRECALCULUS REVIEW. Real Numbers. Exponents and Radicals. Multiplying and Factoring Algebraic Equations. Rational Expressions. Solving Polynomial Equations. Solving Miscellaneous Equations. The Coordinate Plane. Logarithms.
 1. FUNCTIONS AND APPLICATIONS. Functions from the Numerical, Algebraic, and Graphical Viewpoints. Functions and Models. Linear Functions and Models. Linear Regression.
 2. NONLINEAR FUNCTIONS AND MODELS. Quadratic Functions and Models. Exponential Functions and Models. Logarithmic Functions and Models. Logistic Functions and Models.
 3. THE MATHEMATICS OF FINANCE. Simple Interest. Compound Interest. Annuities, Loans, and Bonds.
 4. SYSTEMS OF LINEAR EQUATIONS AND MATRICES. Systems of Two Equations in Two Unknowns. Using Matrices to Solve Systems of Equations. Applications of Systems of Linear Equations.
 5. MATRIX ALGEBRA AND APPLICATIONS. Matrix Addition and Scalar Multiplication. Matrix Multiplication. Matrix Inversion. Game Theory. InputOutput Models.
 6. LINEAR PROGRAMMING. Graphing Linear Inequalities. Solving Linear Programming Problems Graphically. The Simplex Method: Solving Standard Maximization Problems. The Simplex Method: Solving General Linear Programming Problems. The Simplex Method and Duality.
 7. SETS AND COUNTING. Sets and Set Operations. Cardinality. The Addition and Multiplication Principles. Permutations and Combinations.
 8. PROBABILITY. Sample Spaces and Events. Relative Frequency. Probability and Probability Models. Probability and Counting Techniques. Conditional Probability and Independence. Bayes" Theorem and Applications. Markov Systems.
 9. RANDOM VARIABLES AND STATISTICS. Random Variables and Distributions. Bernoulli Trials and Binomial Random Variables. Measures of Central Tendency. Measures of Dispersion. Normal Distributions.
 10. INTRODUCTION TO THE DERIVATIVE. Limits: Numerical and Graphical Approaches. Limits and Continuity. Limits: Algebraic Approach. Average Rate of Change. Derivatives: Numerical and Graphical Viewpoints. Derivatives: Algebraic Viewpoint.
 11. TECHNIQUES OF DIFFERENTIATION. Derivatives of Powers, Sums, and Constant Multiples. A First Application: Marginal Analysis. The Product and Quotient Rules. The Chain Rule. Derivatives of Logarithmic and Exponential Functions. Implicit Differentiation.
 12. APPLICATIONS OF THE DERIVATIVE. Maxima and Minima. Applications of Maxima and Minima. Higher Order Derivatives: Acceleration and Concavity. Analyzing Graphs. Related Rates. Elasticity.
 13. THE INTEGRAL. The Indefinite Integral. Substitution. The Definite Integral: Numerical and Graphical Approaches. The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus.
 14. FURTHER INTEGRATION TECHNIQUES AND APPLICATIONS OF THE INTEGRAL. Integration by Parts. Area Between Two Curves and Applications. Averages and Moving Averages. Applications to Business and Economics: Consumers" and Producers" Surplus and Continuous Income Streams. Improper Integrals and Applications. Differential Equations and Applications.
 15. FUNCTIONS OF SEVERAL VARIABLES. Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints. Partial Derivatives. Maxima and Minima. Constrained Maxima and Minima and Applications. Double Integrals and Applications.
 16. TRIGONOMETRIC MODELS. Trigonometric Functions, Models, and Regression. Derivatives of Trigonometric Functions and Applications. Integrals of Trigonometric Functions and Applications.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9781337274203 20170508
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA37.3 .W37 2018  Unknown 
 Gromov, Mikhael, 1943 author.
 Cham : Birkhauser, [2018]
 Description
 Book — vii, 203 pages : color illustrations ; 24 cm
 Summary

 Beautiful Elsewhere. Science. Numbers. Laws. Truth. Life. Evolution. Brain. Mind. Mysteries Remain. Ergo Project. Universality, Simplicity and Ergo Brain. Freedom, Curiosity, Interesting Signals and Goal Free Learning. Information, Prediction and a Bug on the Leaf. Stones and Goals. Ego, Ergo, Emotions and ErgoMoods. Common Sense, Ergo Ideas and Ergo Logic. Ergo in the Minds. Language and Languages. Meaning of Meaning. Play, Humour and Art. Ergo in Science. Unreasonable Men and Alternative Histories. Mathematics and is Limits. Numbers, Symmetries and Categories. Logic and Illusion of Rigor. Infinte inside, Finite outside. Small, Large, Inaccessible. Probability: Particles, Symmetries, Languages. Signal Flows from the World to the Brain. Characteristic Features of Linguistic Signals. Understanding Structures and the Structure of Understanding. Sixteen Rules of ErgoLearner. Learning to Understand Languages: from Libraries to Dictionaries. Libraries, Strings, Annotations and Colors. Teaching and Grading. Atoms of Structures: Units, Similarities, Cofunctionalities, Reductions. Fragmentation, Segmentation and Formation of Units. Presyntactic Morphisms, Syntactic Categories and Branched Entropy. Similarities and Classifcations, Trees and Coordinatizations. Clustering, Biclustering and Coclustering. Bibliography.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9783319530482 20181015
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Popular science  
QA36 .G76 2018  Unknown 
19. Mathematical excursions [2018]
 Aufmann, Richard N., author.
 Fourth edition.  Boston, MA : Cengage Learning, [2018]
 Description
 Book — 1 volume (various pagings) : color illustrations ; 28 cm
 Summary

 1. PROBLEM SOLVING. Inductive and Deductive Reasoning. Excursion: KenKen Puzzles: An Introduction. Problem Solving with Patterns. Excursion: Polygonal Numbers. ProblemSolving Strategies. Excursion: Routes on a Probability Demonstrator.
 Chapter 1 Summary.
 Chapter 1 Review.
 Chapter 1 Test.
 2. SETS. Basic Properties of Sets. Excursion: Fuzzy Sets. Complements, Subsets, and Venn Diagrams. Excursion: Subsets and Complements of Fuzzy Sets. Set Operations. Excursion: Union and Intersection of Fuzzy Sets. Applications of Sets. Excursion: Voting Systems. Infinite Sets. Excursion: Transfinite Arithmetic.
 Chapter 2 Summary.
 Chapter 2 Review Exercises.
 Chapter 2 Test.
 3. LOGIC. Logic Statements and Quantifiers. Excursion: Switching Networks. Truth Tables, Equivalent Statements, and Tautologies. Excursion: Switching NetworksPart II. The Conditional and the Biconditional. Excursion: Logic Gates. The Conditional and Related Statements. Excursion: Sheffer"s Stroke and the NAND Gate. Symbolic Arguments. Excursion: Fallacies. Arguments and Euler Diagrams. Excursion: Using Logic to Solve Cryptarithms.
 Chapter 3 Summary.
 Chapter 3 Review Exercises.
 Chapter 3 Test.
 4. APPORTIONMENT AND VOTING. Introduction to Apportionment. Excursion: Apportioning the
 1790 House of Representatives. Introduction to Voting. Excursion: Variations of the Borda Count Method. Weighted Voting Systems. Excursion: Blocking Coalitions and the Banzhaf Power Index.
 Chapter 4 Summary.
 Chapter 4 Review Exercises.
 Chapter 4 Test.
 5. THE MATHEMATICS OF GRAPHS. Graphs and Euler Circuits. Excursion: PenTracing Puzzles. Weighted Graphs. Excursion: Extending the Greedy Algorithm. Planarity and Euler"s Formula. Excursion: The Five Regular Convex Polyhedra. Graph Coloring. Excursion: Modeling Traffic Lights with Graphs.
 Chapter 5 Summary.
 Chapter 5 Review Exercises.
 Chapter 5 Test.
 6. NUMERATION SYSTEMS AND NUMBER THEORY. Early Numeration Systems. Excursion: A Rosetta Tablet for the Traditional Chinese Numeration System. PlaceValue Systems. Excursion: Subtraction via the Nines Complement and the EndAround Carry. Different Base Systems. Excursion: Information Retrieval via a Binary Search. Arithmetic in Different Bases. Excursion: Subtraction in Base Two via the Ones Complement and the EndAround Carry. Prime Numbers. Excursion: The Distribution of the Primes. Topics from Number Theory. Excursion: A Sum of the Divisors Formula.
 Chapter 6 Summary.
 Chapter 6 Review Exercises.
 Chapter 6 Test.
 7. MEASUREMENT AND GEOMETRY. Measurement. Excursion: Drawing with a Straightedge and a Compass. Basic Concepts of Euclidean Geometry. Excursion: Preparing a Circle Graph. Perimeter and Area of Plane Figures. Excursion: Perimeter and Area of a Rectangle with Changing Dimensions. Properties of Triangles. Excursion: Topology: A Brief Introduction. Volume and Surface Area. Excursion: Water Displacement. Right Triangle Trigonometry. Excursion: Approximating the Value of Trigonometric Ratios. NonEuclidean Geometry. Excursion: Finding Geodesics. Fractals. Excursion: The Heighway Dragon Fractal.
 Chapter 7 Summary.
 Chapter 7 Review Exercises.
 Chapter 7 Test.
 8. MATHEMATICAL SYSTEMS. Modular Arithmetic. Excursion: Computing the Day of the Week. Applications of Modular Arithmetic. Excursion: Public Key Cryptography. Introduction to Group Theory. Excursion: Wallpaper Groups.
 Chapter 8 Summary.
 Chapter 8 Review Exercises.
 Chapter 8 Test.
 9. APPLICATIONS OF EQUATIONS. FirstDegree Equations and Formulas. Excursion: Body Mass Index. Rate, Ratio, and Proportion. Excursion: Earned Run Average. Percent. Excursion: Federal Income Tax. SecondDegree Equations. Excursion: The Sum and Product of the Solutions of a Quadratic Equation.
 Chapter 9 Summary.
 Chapter 9 Review Exercises.
 Chapter 9 Test.
 10. APPLICATIONS OF FUNCTIONS. Rectangular Coordinates and Functions. Excursion: Dilations of a Geometric Figure. Properties of Linear Functions. Excursion: Negative Velocity. Finding Linear Models. Excursion: A Linear Business Model. Quadratic Functions. Excursion: Reflective Properties of a Parabola. Exponential Functions. Excursion: Chess and Exponential Functions. Logarithmic Functions. Excursion: Benford"s Law.
 Chapter 10 Summary.
 Chapter 10 Review Exercises.
 Chapter 10 Test.
 11. THE MATHEMATICS OF FINANCE. Simple Interest. Excursion: Interest on a Car Loan. Compound Interest. Excursion: Consumer Price Index. Credit Cards and Consumer Loans. Excursion: Car Leases. Stocks, Bonds, and Mutual Funds. Excursion: Treasury Bills. Home Ownership. Excursion: Home Ownership Issues.
 Chapter 11 Summary.
 Chapter 11 Review Exercises.
 Chapter 11 Test.
 12. COMBINATORICS AND PROBABILITY. The Counting Principle. Excursion: Decision Trees. Permutations and Combinations. Excursion: Choosing Numbers in Keno. Probability and Odds. Excursion: The Value of Pi by Simulation. Addition and Complement Rules. Excursion: Keno Revisited. Conditional Probability. Excursion: Sharing Birthdays. Expectation. Excursion: Chuckaluck.
 Chapter 12 Summary.
 Chapter 12 Review Exercises.
 Chapter 12 Test.
 13. STATISTICS. Measures of Central Tendency. Excursion: Linear Interpolation and Animation. Measures of Dispersion. Excursion: Geometric View of Variance and Standard Deviation. Measures of Relative Position. Excursion: StemandLeaf Diagrams. Normal Distribution. Excursion: CutOff Scores. Linear Regression and Correlation. Excursion: Exponential Regression. An Application of Linear Regression.
 Chapter 13 Summary.
 Chapter 13 Review Exercises.
 Chapter 13 Test.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9781305965584 20170227
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA11.2 .A94 2018  Unknown 
20. Mathematical handbook of formulas and tables [2018]
 Spiegel, Murray R., author.
 Fifth edition.  New York : McGrawHill Education, [2018]
 Description
 Book — x, 309 pages : illustrations ; 28 cm.
 Summary

Contains over 2,400 mathematical formulas and tables, covering topics from elementary to advanced mathematics.
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA41 .S75 2018  Unknown 