1. Calculus : concepts and contexts [2019]
- Book
- 1 volume (various pagings) ; 27 cm
- Preface. To the Student. Diagnostic Tests. A Preview of Calculus. 1. FUNCTIONS AND MODELS. Four Ways to Represent a Function. Mathematical Models: A Catalog of Essential Functions. New Functions from Old Functions. Graphing Calculators and Computers. Exponential Functions. Inverse Functions and Logarithms. Parametric Curves. Laboratory Project: Running Circles around Circles. Review. Principles of Problem Solving. 2. LIMITS AND DERIVATIVES. The Tangent and Velocity Problems. The Limit of a Function. Calculating Limits Using the Limit Laws. Continuity. Limits Involving Infinity. Derivatives and Rates of Change. Writing Project: Early Methods for Finding Tangents. The Derivative as a Function. What Does f? ? Say about f ? Review. Focus on Problem Solving. 3. DIFFERENTIATION RULES. Derivatives of Polynomials and Exponential Functions. Applied Project: Building a Better Roller Coaster. The Product and Quotient Rules. Derivatives of Trigonometric Functions. The Chain Rule. Laboratory Project: Bezier Curves. Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation. Inverse Trigonometric Functions and their Derivatives. Derivatives of Logarithmic Functions. Discovery Project: Hyperbolic Functions. Rates of Change in the Natural and Social Sciences. Linear Approximations and Differentials. Laboratory Project: Taylor Polynomials. Review. Focus on Problem Solving. 4. APPLICATIONS OF DIFFERENTIATION. Related Rates. Maximum and Minimum Values. Applied Project: The Calculus of Rainbows. Derivatives and the Shapes of Curves. Graphing with Calculus and Calculators. Indeterminate Forms and l''Hospital''s Rule. Writing Project: The Origins of l''Hospital''s Rule. Optimization Problems. Applied Project: The Shape of a Can. Newton''s Method. Antiderivatives. Review. Focus on Problem Solving. 5. INTEGRALS. Areas and Distances. The Definite Integral. Evaluating Definite Integrals. Discovery Project: Area Functions. The Fundamental Theorem of Calculus. Writing Project: Newton, Leibniz, and the Invention of Calculus. The Substitution Rule. Integration by Parts. Additional Techniques of Integration. Integration Using Tables and Computer Algebra Systems. Discovery Project: Patterns in Integrals. Approximate Integration. Improper Integrals. Review. Focus on Problem Solving. 6. APPLICATIONS OF INTEGRATION. More about Areas. Volumes. Discovery Project: Rotating on a Slant. Volumes by Cylindrical Shells. Arc Length. Discovery Project: Arc Length Contest. Average Value of a Function. Applied Project: Where to Sit at the Movies. Applications to Physics and Engineering. Discovery Project: Complementary Coffee Cups. Applications to Economics and Biology. Probability. Review. Focus on Problem Solving. 7. DIFFERENTIAL EQUATIONS. Modeling with Differential Equations. Direction Fields and Euler''s Method. Separable Equations. Applied Project: How Fast Does a Tank Drain? Applied Project: Which Is Faster, Going Up or Coming Down? Exponential Growth and Decay. Applied Project: Calculus and Baseball. The Logistic Equation. Predator-Prey Systems. Review. Focus on Problem Solving. 8. INFINTE SEQUENCES AND SERIES. Sequences. Laboratory Project: Logistic Sequences. Series. The Integral and Comparison Tests-- Estimating Sums. Other Convergence Tests. Power Series. Representations of Functions as Power Series. Taylor and Maclaurin Series. Laboratory Project: An Elusive Limit. Writing Project: How Newton Discovered the Binomial Series. Applications of Taylor Polynomials. Applied Project: Radiation from the Stars. Review. Focus on Problem Solving. 9. VECTORS AND THE GEOMETRY OF SPACE. Three-Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Discovery Project: The Geometry of a Tetrahedron. Equations of Lines and Planes. Laboratory Project: Putting 3D in Perspective. Functions and Surfaces. Cylindrical and Spherical Coordinates. Laboratory Project: Families of Surfaces. Review. Focus on Problem Solving. 10. VECTOR FUNCTIONS. Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. Arc Length and Curvature. Motion in Space: Velocity and Acceleration. Applied Project: Kepler''s Laws. Parametric Surfaces. Review. Focus on Problem Solving. 11. PARTIAL DERIVATIVES. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Linear Approximations. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Applied Project: Designing a Dumpster. Discovery Project: Quadratic Approximations and Critical Points. Lagrange Multipliers. Applied Project: Rocket Science. Applied Project: Hydro-Turbine Optimization. Review. Focus on Problem Solving. 12. MULTIPLE INTEGRALS. Double Integrals over Rectangles. Iterated Integrals. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Surface Area. Triple Integrals. Discovery Project: Volumes of Hyperspheres. Triple Integrals in Cylindrical and Spherical Coordinates. Applied Project: Roller Derby. Discovery Project: The Intersection of Three Cylinders. Change of Variables in Multiple Integrals. Review. Focus on Problem Solving. 13. VECTOR CALCULUS. Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green''s Theorem. Curl and Divergence. Surface Integrals. Stokes'' Theorem. Writing Project: Three Men and Two Theorems. The Divergence Theorem. Summary. Review. Focus on Problem Solving. APPENDIXES. A. Intervals, Inequalities, and Absolute Values. B. Coordinate Geometry. C. Trigonometry. D. Precise Definitions of Limits. E. A Few Proofs. F. Sigma Notation. G. Integration of Rational Functions by Partial Fractions. H. Polar Coordinates. I. Complex Numbers. J. Answers to Odd-Numbered Exercises.
- (source: Nielsen Book Data)9781337687669 20180416
(source: Nielsen Book Data)9781337687669 20180416
- Preface. To the Student. Diagnostic Tests. A Preview of Calculus. 1. FUNCTIONS AND MODELS. Four Ways to Represent a Function. Mathematical Models: A Catalog of Essential Functions. New Functions from Old Functions. Graphing Calculators and Computers. Exponential Functions. Inverse Functions and Logarithms. Parametric Curves. Laboratory Project: Running Circles around Circles. Review. Principles of Problem Solving. 2. LIMITS AND DERIVATIVES. The Tangent and Velocity Problems. The Limit of a Function. Calculating Limits Using the Limit Laws. Continuity. Limits Involving Infinity. Derivatives and Rates of Change. Writing Project: Early Methods for Finding Tangents. The Derivative as a Function. What Does f? ? Say about f ? Review. Focus on Problem Solving. 3. DIFFERENTIATION RULES. Derivatives of Polynomials and Exponential Functions. Applied Project: Building a Better Roller Coaster. The Product and Quotient Rules. Derivatives of Trigonometric Functions. The Chain Rule. Laboratory Project: Bezier Curves. Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation. Inverse Trigonometric Functions and their Derivatives. Derivatives of Logarithmic Functions. Discovery Project: Hyperbolic Functions. Rates of Change in the Natural and Social Sciences. Linear Approximations and Differentials. Laboratory Project: Taylor Polynomials. Review. Focus on Problem Solving. 4. APPLICATIONS OF DIFFERENTIATION. Related Rates. Maximum and Minimum Values. Applied Project: The Calculus of Rainbows. Derivatives and the Shapes of Curves. Graphing with Calculus and Calculators. Indeterminate Forms and l''Hospital''s Rule. Writing Project: The Origins of l''Hospital''s Rule. Optimization Problems. Applied Project: The Shape of a Can. Newton''s Method. Antiderivatives. Review. Focus on Problem Solving. 5. INTEGRALS. Areas and Distances. The Definite Integral. Evaluating Definite Integrals. Discovery Project: Area Functions. The Fundamental Theorem of Calculus. Writing Project: Newton, Leibniz, and the Invention of Calculus. The Substitution Rule. Integration by Parts. Additional Techniques of Integration. Integration Using Tables and Computer Algebra Systems. Discovery Project: Patterns in Integrals. Approximate Integration. Improper Integrals. Review. Focus on Problem Solving. 6. APPLICATIONS OF INTEGRATION. More about Areas. Volumes. Discovery Project: Rotating on a Slant. Volumes by Cylindrical Shells. Arc Length. Discovery Project: Arc Length Contest. Average Value of a Function. Applied Project: Where to Sit at the Movies. Applications to Physics and Engineering. Discovery Project: Complementary Coffee Cups. Applications to Economics and Biology. Probability. Review. Focus on Problem Solving. 7. DIFFERENTIAL EQUATIONS. Modeling with Differential Equations. Direction Fields and Euler''s Method. Separable Equations. Applied Project: How Fast Does a Tank Drain? Applied Project: Which Is Faster, Going Up or Coming Down? Exponential Growth and Decay. Applied Project: Calculus and Baseball. The Logistic Equation. Predator-Prey Systems. Review. Focus on Problem Solving. 8. INFINTE SEQUENCES AND SERIES. Sequences. Laboratory Project: Logistic Sequences. Series. The Integral and Comparison Tests-- Estimating Sums. Other Convergence Tests. Power Series. Representations of Functions as Power Series. Taylor and Maclaurin Series. Laboratory Project: An Elusive Limit. Writing Project: How Newton Discovered the Binomial Series. Applications of Taylor Polynomials. Applied Project: Radiation from the Stars. Review. Focus on Problem Solving. 9. VECTORS AND THE GEOMETRY OF SPACE. Three-Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Discovery Project: The Geometry of a Tetrahedron. Equations of Lines and Planes. Laboratory Project: Putting 3D in Perspective. Functions and Surfaces. Cylindrical and Spherical Coordinates. Laboratory Project: Families of Surfaces. Review. Focus on Problem Solving. 10. VECTOR FUNCTIONS. Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. Arc Length and Curvature. Motion in Space: Velocity and Acceleration. Applied Project: Kepler''s Laws. Parametric Surfaces. Review. Focus on Problem Solving. 11. PARTIAL DERIVATIVES. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Linear Approximations. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Applied Project: Designing a Dumpster. Discovery Project: Quadratic Approximations and Critical Points. Lagrange Multipliers. Applied Project: Rocket Science. Applied Project: Hydro-Turbine Optimization. Review. Focus on Problem Solving. 12. MULTIPLE INTEGRALS. Double Integrals over Rectangles. Iterated Integrals. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Surface Area. Triple Integrals. Discovery Project: Volumes of Hyperspheres. Triple Integrals in Cylindrical and Spherical Coordinates. Applied Project: Roller Derby. Discovery Project: The Intersection of Three Cylinders. Change of Variables in Multiple Integrals. Review. Focus on Problem Solving. 13. VECTOR CALCULUS. Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green''s Theorem. Curl and Divergence. Surface Integrals. Stokes'' Theorem. Writing Project: Three Men and Two Theorems. The Divergence Theorem. Summary. Review. Focus on Problem Solving. APPENDIXES. A. Intervals, Inequalities, and Absolute Values. B. Coordinate Geometry. C. Trigonometry. D. Precise Definitions of Limits. E. A Few Proofs. F. Sigma Notation. G. Integration of Rational Functions by Partial Fractions. H. Polar Coordinates. I. Complex Numbers. J. Answers to Odd-Numbered Exercises.
- (source: Nielsen Book Data)9781337687669 20180416
(source: Nielsen Book Data)9781337687669 20180416
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA303.2 .S88253 2019 | Unavailable In process Request |
- Book
- xiii, 1128, A155 pages ; 29 cm
Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 7th Edition, continues to offer instructors and students innovative teaching and learning resources. The Larson team always has two main objectives for text revisions: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the seventh of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.
(source: Nielsen Book Data)9781337552516 20180416
(source: Nielsen Book Data)9781337552516 20180416
Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 7th Edition, continues to offer instructors and students innovative teaching and learning resources. The Larson team always has two main objectives for text revisions: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the seventh of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.
(source: Nielsen Book Data)9781337552516 20180416
(source: Nielsen Book Data)9781337552516 20180416
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA303.2 .L368 2019 | Unavailable In process Request |
- Book
- 1 volume (various pagings) : illustrations ; 24 cm
- Printed Text 1. Fundamentals of Quantitative Design and Analysis 2. Memory Hierarchy Design 3. Instruction-Level Parallelism and Its Exploitation 4. Data-Level Parallelism in Vector, SIMD, and GPU Architectures 5. Multiprocessors and Thread-Level Parallelism 6. The Warehouse-Scale Computer 7. Domain Specific Architectures A. Instruction Set Principles B. Review of Memory Hierarchy C. Pipelining: Basic and Intermediate Concepts Online D. Storage Systems E. Embedded Systems F. Interconnection Networks G. Vector Processors H. Hardware and Software for VLIW and EPIC I. Large-Scale Multiprocessors and Scientific Applications J. Computer Arithmetic K. Survey of Instruction Set Architectures L. Advanced Concepts on Address Translation M. Historical Perspectives and References.
- (source: Nielsen Book Data)9780128119051 20180312
(source: Nielsen Book Data)9780128119051 20180312
- Printed Text 1. Fundamentals of Quantitative Design and Analysis 2. Memory Hierarchy Design 3. Instruction-Level Parallelism and Its Exploitation 4. Data-Level Parallelism in Vector, SIMD, and GPU Architectures 5. Multiprocessors and Thread-Level Parallelism 6. The Warehouse-Scale Computer 7. Domain Specific Architectures A. Instruction Set Principles B. Review of Memory Hierarchy C. Pipelining: Basic and Intermediate Concepts Online D. Storage Systems E. Embedded Systems F. Interconnection Networks G. Vector Processors H. Hardware and Software for VLIW and EPIC I. Large-Scale Multiprocessors and Scientific Applications J. Computer Arithmetic K. Survey of Instruction Set Architectures L. Advanced Concepts on Address Translation M. Historical Perspectives and References.
- (source: Nielsen Book Data)9780128119051 20180312
(source: Nielsen Book Data)9780128119051 20180312
Engineering Library (Terman)
Engineering Library (Terman) | Status |
---|---|
Stacks | |
QA76.9 .A73 P377 2019 | Unavailable At bindery Request |
4. Introduction to mathematical statistics [2019]
- Book
- xiii, 746 pages ; 26 cm
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA276 .H59 2019 | Unavailable In process Request |
5. Introductory technical mathematics [2019]
- Book
- xviii, 1022 pages : illustrations ; 28 cm
- 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 Odd-Numbered Exercises.
- (source: Nielsen Book Data)9781337397674 20180416
(source: Nielsen Book Data)9781337397674 20180416
- 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 Odd-Numbered Exercises.
- (source: Nielsen Book Data)9781337397674 20180416
(source: Nielsen Book Data)9781337397674 20180416
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA39.3 .P473 2019 | Unavailable In process Request |
- Book
- 1 online resource (1 volume) : illustrations
Written for the one- to three-term introductory programming course, the fifth edition of Java Illuminated provides learners with an interactive, user-friendly approach to learning the Java programming language. Comprehensive but accessible, the text takes a progressive approach to object-oriented programming, allowing students to build on established skills to develop new and increasingly complex classes. Java Illuminated follows an activity-based active learning approach that ensures student engagement and interest. New & Key Features of the Fifth Edition: - Updated to include Java 8 and Java 9 throughout the text - The authors have replaced swing with JavaFx in Chapter 4 (graphics programming), Chapter 12 (GUIs) and in all graphics applications and Programming Activities throughout the book. - A revised Chapter 2 now uses the jshell sandbox for immediate code feedback.
(source: Nielsen Book Data)9781284140996 20180306
(source: Nielsen Book Data)9781284140996 20180306
Written for the one- to three-term introductory programming course, the fifth edition of Java Illuminated provides learners with an interactive, user-friendly approach to learning the Java programming language. Comprehensive but accessible, the text takes a progressive approach to object-oriented programming, allowing students to build on established skills to develop new and increasingly complex classes. Java Illuminated follows an activity-based active learning approach that ensures student engagement and interest. New & Key Features of the Fifth Edition: - Updated to include Java 8 and Java 9 throughout the text - The authors have replaced swing with JavaFx in Chapter 4 (graphics programming), Chapter 12 (GUIs) and in all graphics applications and Programming Activities throughout the book. - A revised Chapter 2 now uses the jshell sandbox for immediate code feedback.
(source: Nielsen Book Data)9781284140996 20180306
(source: Nielsen Book Data)9781284140996 20180306
7. Linear algebra with applications [2019]
- Book
- xvii, 594 pages ; 29 cm
- Linear equations and vectors
- Matrices and linear transformations
- Determinants and eigenvectors
- General vector spaces
- Coordinate representations
- Inner product spaces
- Numerical methods
- Linear programming.
(source: Nielsen Book Data)9781284120097 20180219
- Linear equations and vectors
- Matrices and linear transformations
- Determinants and eigenvectors
- General vector spaces
- Coordinate representations
- Inner product spaces
- Numerical methods
- Linear programming.
(source: Nielsen Book Data)9781284120097 20180219
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA184.2 .W55 2019 | Unknown |
8. Statistics : learning from data [2019]
- Book
- xvii, 887 pages ; 29 cm
- Section I: COLLECTING DATA. 1. Collecting Data in Reasonable Ways. Statistics: It's All About Variability. Statistical Studies: Observation and Experimentation. Collecting Data: Planning an Observational Study. Collecting Data: Planning an Experiment. The Importance of Random Selection and Random Assignment: What Types of Conclusions Are Reasonable? Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. Section II: DESCRIBING DATA DISTRIBUTIONS. 2. Graphical Methods for Describing Data Distributions. Selecting an Appropriate Graphical Display. Displaying Categorical Data: Bar Charts and Comparative Bar Charts. Displaying Numerical Data: Dotplots, Stem-and-Leaf Displays, and Histograms. Displaying Bivariate Numerical Data: Scatterplots and Time-Series Plots. Graphical Displays in the Media. Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. 3. Numerical Methods for Describing Data Distributions. Selecting Appropriate Numerical Summaries. Describing Center and Variability for Data Distributions that are Approximately Symmetric. Describing Center and Variability for Data Distributions that are Skewed or Have Outliers. Summarizing a Data Set: Boxplots. Measures of Relative Standing: z-scores and Percentiles. Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. 4. Describing Bivariate Numerical Data. Correlation. Linear Regression: Fitting a Line to Bivariate Data. Assessing the Fit of a Line. Describing Linear Relationships and Making Predictions--Putting it all Together. Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. Bonus Material on Logistic Regression (Online). Section III: A FOUNDATION FOR INFERENCE: REASONING ABOUT PROBABILITY. 5. Probability. Interpreting Probabilities. Computing Probabilities. Probabilities of More Complex Events: Unions, Intersections and Complements. Conditional Probability. Calculating Probabilities -- A More Formal Approach. Probability as a Basis for Making Decisions. Estimating Probabilities Empirically and Using Simulation (Optional). Chapter Activities. 6. Random Variables and Probability Distributions. Random Variables. Probability Distributions for Discrete Random Variables. Probability Distributions for Continuous Random Variables. The Mean and Standard Deviation of a Random Variable. Normal Distribution. Checking for Normality. Binomial and Geometric Distributions (Optional). Using the Normal Distribution to Approximate a Discrete Distribution (Optional). Chapter Activities. Bonus Material on Counting Rules, The Poisson Distribution (Online). Section IV: LEARNING FROM SAMPLE DATA. 7. An Overview of Statistical Inference -- Learning from Data. Statistical Inference -- What You Can Learn from Data. Selecting an Appropriate Method -- Four Key Questions. A Five-Step Process for Statistical Inference. Chapter Activities. 8. Sampling Variability and Sampling Distributions. Statistics and Sampling Variability. The Sampling Distribution of a Sample Proportion. How Sampling Distributions Support Learning from Data. Chapter Activities. 9. Estimating a Population Proportion. Selecting an Estimator. Estimating a Population Proportion -- Margin of Error. A Large Sample Confidence Interval for a Population Proportion. Choosing a Sample Size to Achieve a Desired Margin of Error. Bootstrap Confidence Intervals for a Population Proportion (Optional). Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. 10. Asking and Answering Questions about a Population Proportion. Hypotheses and Possible Conclusions. Potential Errors in Hypothesis Testing. The Logic of Hypothesis Testing -- An Informal Example. A Procedure for Carrying Out a Hypothesis Test. Large-Sample Hypothesis Tests for a Population Proportion. Randomization Tests and Exact Binomial Tests for One Proportion (Optional). Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. 11. Asking and Answering Questions about the Difference between Two Population Proportions. Estimating the Difference between Two Population Proportions. Testing Hypotheses about the Difference between Two Population Proportions. Inference for Two Proportions Using Data from an Experiment. Simulation-Based Inference for Two Proportions (Optional). Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. 12. Asking and Answering Questions about a Population Mean. The Sampling Distribution of the Sample Mean. A Confidence Interval for a Population Mean. Testing Hypotheses about a Population Mean. Simulation-Based Inference for One Mean (Optional). Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. 13. Asking and Answering Questions about the Difference between Two Population Means. Two Samples: Paired versus Independent Samples. Learning About a Difference in Population Means Using Paired Samples. Learning About a Difference in Population Means Using Independent Samples. Inference for Two Means Using Data from an Experiment. Simulation-Based Inference for Two Means (Optional). Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. Section V: ADDITIONAL OPPORTUNITIES TO LEARN FROM DATA. 14. Learning from Categorical Data. Chi-Square Tests for Univariate Categorical Data. Tests for Homogeneity and Independence in a Two-Way Table. Avoid These Common Mistakes. Chapter Activities. 15. Understanding Relationships--Numerical Data Part 2 (Online). The Simple Linear Regression Model. Inferences Concerning the Slope of the Population Regression Line. Checking Model Adequacy. 16. Asking and Answering Questions about More Than Two Means (Online). The Analysis of Variance -- Single-Factor ANOVA and the F Test. Multiple Comparisons. Appendix: ANOVA Computations.
- (source: Nielsen Book Data)9781337558082 20180416
(source: Nielsen Book Data)9781337558082 20180416
- Section I: COLLECTING DATA. 1. Collecting Data in Reasonable Ways. Statistics: It's All About Variability. Statistical Studies: Observation and Experimentation. Collecting Data: Planning an Observational Study. Collecting Data: Planning an Experiment. The Importance of Random Selection and Random Assignment: What Types of Conclusions Are Reasonable? Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. Section II: DESCRIBING DATA DISTRIBUTIONS. 2. Graphical Methods for Describing Data Distributions. Selecting an Appropriate Graphical Display. Displaying Categorical Data: Bar Charts and Comparative Bar Charts. Displaying Numerical Data: Dotplots, Stem-and-Leaf Displays, and Histograms. Displaying Bivariate Numerical Data: Scatterplots and Time-Series Plots. Graphical Displays in the Media. Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. 3. Numerical Methods for Describing Data Distributions. Selecting Appropriate Numerical Summaries. Describing Center and Variability for Data Distributions that are Approximately Symmetric. Describing Center and Variability for Data Distributions that are Skewed or Have Outliers. Summarizing a Data Set: Boxplots. Measures of Relative Standing: z-scores and Percentiles. Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. 4. Describing Bivariate Numerical Data. Correlation. Linear Regression: Fitting a Line to Bivariate Data. Assessing the Fit of a Line. Describing Linear Relationships and Making Predictions--Putting it all Together. Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. Bonus Material on Logistic Regression (Online). Section III: A FOUNDATION FOR INFERENCE: REASONING ABOUT PROBABILITY. 5. Probability. Interpreting Probabilities. Computing Probabilities. Probabilities of More Complex Events: Unions, Intersections and Complements. Conditional Probability. Calculating Probabilities -- A More Formal Approach. Probability as a Basis for Making Decisions. Estimating Probabilities Empirically and Using Simulation (Optional). Chapter Activities. 6. Random Variables and Probability Distributions. Random Variables. Probability Distributions for Discrete Random Variables. Probability Distributions for Continuous Random Variables. The Mean and Standard Deviation of a Random Variable. Normal Distribution. Checking for Normality. Binomial and Geometric Distributions (Optional). Using the Normal Distribution to Approximate a Discrete Distribution (Optional). Chapter Activities. Bonus Material on Counting Rules, The Poisson Distribution (Online). Section IV: LEARNING FROM SAMPLE DATA. 7. An Overview of Statistical Inference -- Learning from Data. Statistical Inference -- What You Can Learn from Data. Selecting an Appropriate Method -- Four Key Questions. A Five-Step Process for Statistical Inference. Chapter Activities. 8. Sampling Variability and Sampling Distributions. Statistics and Sampling Variability. The Sampling Distribution of a Sample Proportion. How Sampling Distributions Support Learning from Data. Chapter Activities. 9. Estimating a Population Proportion. Selecting an Estimator. Estimating a Population Proportion -- Margin of Error. A Large Sample Confidence Interval for a Population Proportion. Choosing a Sample Size to Achieve a Desired Margin of Error. Bootstrap Confidence Intervals for a Population Proportion (Optional). Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. 10. Asking and Answering Questions about a Population Proportion. Hypotheses and Possible Conclusions. Potential Errors in Hypothesis Testing. The Logic of Hypothesis Testing -- An Informal Example. A Procedure for Carrying Out a Hypothesis Test. Large-Sample Hypothesis Tests for a Population Proportion. Randomization Tests and Exact Binomial Tests for One Proportion (Optional). Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. 11. Asking and Answering Questions about the Difference between Two Population Proportions. Estimating the Difference between Two Population Proportions. Testing Hypotheses about the Difference between Two Population Proportions. Inference for Two Proportions Using Data from an Experiment. Simulation-Based Inference for Two Proportions (Optional). Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. 12. Asking and Answering Questions about a Population Mean. The Sampling Distribution of the Sample Mean. A Confidence Interval for a Population Mean. Testing Hypotheses about a Population Mean. Simulation-Based Inference for One Mean (Optional). Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. 13. Asking and Answering Questions about the Difference between Two Population Means. Two Samples: Paired versus Independent Samples. Learning About a Difference in Population Means Using Paired Samples. Learning About a Difference in Population Means Using Independent Samples. Inference for Two Means Using Data from an Experiment. Simulation-Based Inference for Two Means (Optional). Avoid These Common Mistakes. Chapter Activities. Explorations in Statistical Thinking. Section V: ADDITIONAL OPPORTUNITIES TO LEARN FROM DATA. 14. Learning from Categorical Data. Chi-Square Tests for Univariate Categorical Data. Tests for Homogeneity and Independence in a Two-Way Table. Avoid These Common Mistakes. Chapter Activities. 15. Understanding Relationships--Numerical Data Part 2 (Online). The Simple Linear Regression Model. Inferences Concerning the Slope of the Population Regression Line. Checking Model Adequacy. 16. Asking and Answering Questions about More Than Two Means (Online). The Analysis of Variance -- Single-Factor ANOVA and the F Test. Multiple Comparisons. Appendix: ANOVA Computations.
- (source: Nielsen Book Data)9781337558082 20180416
(source: Nielsen Book Data)9781337558082 20180416
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA276.12 .P434 2019 | Unavailable In process Request |
9. Understanding basic statistics [2019]
- Book
- xxvii, 600, 54, 5 pages ; 28 cm
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA276.12 .B725 2019 | Unavailable In process Request |
- Book
- xviii, P13, 711, C2, A33, I13 pages ; 29 cm
- 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.
- 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.
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA39.3 .B46 2019 | Unavailable In process Request |
- Book
- 1 online resource (1 volume) : illustrations.
- Software/Multimedia
- 1 online resource (302 p.) : ill.
"The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise to numerous applications such as abstract versions of the Orlicz–Pettis Theorem on subseries convergent series, the Uniform Boundedness Principle, the Banach–Steinhaus Theorem, the Nikodym Convergence theorems and the Vitali–Hahn–Saks Theorem from measure theory and the Hahn–Schur Theorem from summability. There are no books on the current market which cover the material in this book. Readers will find interesting functional analysis and the many applications to various topics in real analysis."-- Provided by publisher.
"The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise to numerous applications such as abstract versions of the Orlicz–Pettis Theorem on subseries convergent series, the Uniform Boundedness Principle, the Banach–Steinhaus Theorem, the Nikodym Convergence theorems and the Vitali–Hahn–Saks Theorem from measure theory and the Hahn–Schur Theorem from summability. There are no books on the current market which cover the material in this book. Readers will find interesting functional analysis and the many applications to various topics in real analysis."-- Provided by publisher.
- Book
- 1 online resource.
- ""Front Cover""; ""ACADEMIC CROWDSOURCING IN THE HUMANITIES""; ""Series Page""; ""ACADEMIC CROWDSOURCING IN THE HUMANITIES: Crowds, Communities and Co-production""; ""Copyright""; ""CONTENTS""; ""ABOUT THE AUTHORS""; ""PREFACE""; ""ACKNOWLEDGEMENTS""; ""1
- Introduction: academic crowdsourcing from the periphery to the centre""; ""INTRODUCTION""; ""CROWDSOURCING, CITIZEN SCIENCE AND ENGAGEMENT""; ""CROWD CONNECTIVITY: THE RISE OF SOCIAL MEDIA""; ""METHODOLOGY""; ""2
- From citizen science to community co-production""; ""THE BUSINESS OF CROWDSOURCING""; ""CROWDSOURCING IN THE ACADEMY""
- ""CROWDSOURCING AND SOCIAL ENGAGEMENT""""COMMUNITIES OF CROWDSOURCING: SELF-ORGANIZATION AND CO-PRODUCTION""; ""TERMINOLOGIES AND TYPOLOGIES FOR HUMANITIES CROWDSOURCING""; ""3
- Processes and products: a typology of crowdsourcing""; ""HUMANITIES CROWDSOURCING: A TYPOLOGY""; ""PROCESS TYPES""; ""Transcribing""; ""Beyond transcription: correcting and modifying content""; ""Crowdsourcing as knowledge organization""; ""Crowdsourcing as creation and commentary""; ""Spatial processes: mapping and georeferencing""; ""Translating""; ""ASSET TYPES""; ""Geospatial""; ""Text""; ""Image""
- ""Media assets: sound and video""""Ephemera and intangible cultural heritage""; ""Numerical or statistical information""; ""TASK TYPES""; ""OUTPUT TYPES""; ""CONCLUSION""; ""4
- Crowdsourcing applied: case studies""; ""GEOSPATIAL INFORMATION""; ""Community archaeology""; ""Georeferencing""; ""TEXT""; ""Lexicography""; ""Text interpretation""; ""IMAGE""; ""Classification of images""; ""Tagging images""; ""Investigating images""; ""Researching (old) images""; ""CONCLUSION""; ""5
- Roles and communities""; ""INTRODUCTION AND KEY QUESTIONS""; ""SOLITARY ROLES VERSUS COLLABORATIVE ROLES""
- ""NETWORKS OF ROLES""""COLLABORATIVE ROLES""; ""ROLES AND EMPOWERMENT""; ""ROLES AND CONFLICT""; ""CONCLUSION""; ""6
- Motivations and benefits""; ""MOTIVATIONS, INTRINSIC AND EXTRINSIC""; ""FROM COMMERCIAL TO ACADEMIC CROWDSOURCING""; ""THE ROLE OF COMPETITION""; ""LEARNING AND â#x80; #x98; UPSKILLINGâ#x80; #x99; ""; ""GAMIFICATION""; ""COMMUNITY AND SOCIAL MOTIVATIONS""; ""EVOLVING MOTIVATIONS""; ""MOTIVATIONS OF ACADEMICS AND OTHER PROJECT ORGANIZERS""; ""CONCLUSION""; ""7
- Ethical issues in humanities crowdsourcing""; ""WHAT DO WE MEAN BY ETHICS IN HUMANITIES CROWDSOURCING?""
- ""ETHICS AND THE CROWDSOURCING INDUSTRY""""LABOUR AND EXPLOITATION IN HUMANITIES CROWDSOURCING""; ""WHOSE DATA IS IT ANYWAY?""; ""PASTORAL CONCERNS AND PARTICIPANT WELL-BEING""; ""CROWDSOURCING AS PARTICIPATORY RESEARCH""; ""COMMUNITY-BASED PARTICIPATORY RESEARCH""; ""CONCLUSION""; ""8
- Crowdsourcing and memory""; ""INTRODUCTION""; ""INTERNET MEMORY""; ""COLLECTIVE MEMORY""; ""INDIVIDUAL MEMORY""; ""MEMORY AND STRUCTURE""; ""GENERIC CROWD MEMORY: SHARED METHODOLOGICAL NARRATIVES""; ""Transcribing""; ""Collaborative tagging""; ""Recording and creating content""
- ""Front Cover""; ""ACADEMIC CROWDSOURCING IN THE HUMANITIES""; ""Series Page""; ""ACADEMIC CROWDSOURCING IN THE HUMANITIES: Crowds, Communities and Co-production""; ""Copyright""; ""CONTENTS""; ""ABOUT THE AUTHORS""; ""PREFACE""; ""ACKNOWLEDGEMENTS""; ""1
- Introduction: academic crowdsourcing from the periphery to the centre""; ""INTRODUCTION""; ""CROWDSOURCING, CITIZEN SCIENCE AND ENGAGEMENT""; ""CROWD CONNECTIVITY: THE RISE OF SOCIAL MEDIA""; ""METHODOLOGY""; ""2
- From citizen science to community co-production""; ""THE BUSINESS OF CROWDSOURCING""; ""CROWDSOURCING IN THE ACADEMY""
- ""CROWDSOURCING AND SOCIAL ENGAGEMENT""""COMMUNITIES OF CROWDSOURCING: SELF-ORGANIZATION AND CO-PRODUCTION""; ""TERMINOLOGIES AND TYPOLOGIES FOR HUMANITIES CROWDSOURCING""; ""3
- Processes and products: a typology of crowdsourcing""; ""HUMANITIES CROWDSOURCING: A TYPOLOGY""; ""PROCESS TYPES""; ""Transcribing""; ""Beyond transcription: correcting and modifying content""; ""Crowdsourcing as knowledge organization""; ""Crowdsourcing as creation and commentary""; ""Spatial processes: mapping and georeferencing""; ""Translating""; ""ASSET TYPES""; ""Geospatial""; ""Text""; ""Image""
- ""Media assets: sound and video""""Ephemera and intangible cultural heritage""; ""Numerical or statistical information""; ""TASK TYPES""; ""OUTPUT TYPES""; ""CONCLUSION""; ""4
- Crowdsourcing applied: case studies""; ""GEOSPATIAL INFORMATION""; ""Community archaeology""; ""Georeferencing""; ""TEXT""; ""Lexicography""; ""Text interpretation""; ""IMAGE""; ""Classification of images""; ""Tagging images""; ""Investigating images""; ""Researching (old) images""; ""CONCLUSION""; ""5
- Roles and communities""; ""INTRODUCTION AND KEY QUESTIONS""; ""SOLITARY ROLES VERSUS COLLABORATIVE ROLES""
- ""NETWORKS OF ROLES""""COLLABORATIVE ROLES""; ""ROLES AND EMPOWERMENT""; ""ROLES AND CONFLICT""; ""CONCLUSION""; ""6
- Motivations and benefits""; ""MOTIVATIONS, INTRINSIC AND EXTRINSIC""; ""FROM COMMERCIAL TO ACADEMIC CROWDSOURCING""; ""THE ROLE OF COMPETITION""; ""LEARNING AND â#x80; #x98; UPSKILLINGâ#x80; #x99; ""; ""GAMIFICATION""; ""COMMUNITY AND SOCIAL MOTIVATIONS""; ""EVOLVING MOTIVATIONS""; ""MOTIVATIONS OF ACADEMICS AND OTHER PROJECT ORGANIZERS""; ""CONCLUSION""; ""7
- Ethical issues in humanities crowdsourcing""; ""WHAT DO WE MEAN BY ETHICS IN HUMANITIES CROWDSOURCING?""
- ""ETHICS AND THE CROWDSOURCING INDUSTRY""""LABOUR AND EXPLOITATION IN HUMANITIES CROWDSOURCING""; ""WHOSE DATA IS IT ANYWAY?""; ""PASTORAL CONCERNS AND PARTICIPANT WELL-BEING""; ""CROWDSOURCING AS PARTICIPATORY RESEARCH""; ""COMMUNITY-BASED PARTICIPATORY RESEARCH""; ""CONCLUSION""; ""8
- Crowdsourcing and memory""; ""INTRODUCTION""; ""INTERNET MEMORY""; ""COLLECTIVE MEMORY""; ""INDIVIDUAL MEMORY""; ""MEMORY AND STRUCTURE""; ""GENERIC CROWD MEMORY: SHARED METHODOLOGICAL NARRATIVES""; ""Transcribing""; ""Collaborative tagging""; ""Recording and creating content""
- Book
- 1 online resource.
Academic Press Library in Signal Processing, Volume 6: Image and Video Processing and Analysis and Computer Vision is aimed at university researchers, post graduate students and R&D engineers in the industry, providing a tutorial-based, comprehensive review of key topics and technologies of research in both image and video processing and analysis and computer vision. The book provides an invaluable starting point to the area through the insight and understanding that it provides. With this reference, readers will quickly grasp an unfamiliar area of research, understand the underlying principles of a topic, learn how a topic relates to other areas, and learn of research issues yet to be resolved.
Academic Press Library in Signal Processing, Volume 6: Image and Video Processing and Analysis and Computer Vision is aimed at university researchers, post graduate students and R&D engineers in the industry, providing a tutorial-based, comprehensive review of key topics and technologies of research in both image and video processing and analysis and computer vision. The book provides an invaluable starting point to the area through the insight and understanding that it provides. With this reference, readers will quickly grasp an unfamiliar area of research, understand the underlying principles of a topic, learn how a topic relates to other areas, and learn of research issues yet to be resolved.
- Book
- 1 online resource (1 volume) : illustrations
- Table of Contents Introduction to Advanced Infrastructure Penetration Testing Advanced Linux Exploitation Corporate Networks and Databases Exploitation Active Directory Exploitation Docker Exploitation Exploiting git and Continuous Integration (CI) servers Metasploit and Powershell for Post Exploitation VLAN Exploitation VoIP Exploitation Insecure VPNs Exploitation Routing and Router vulnerabilities Internet Of Things Exploitation.
- (source: Nielsen Book Data)9781788623414 20180423
(source: Nielsen Book Data)9781788623414 20180423
- Table of Contents Introduction to Advanced Infrastructure Penetration Testing Advanced Linux Exploitation Corporate Networks and Databases Exploitation Active Directory Exploitation Docker Exploitation Exploiting git and Continuous Integration (CI) servers Metasploit and Powershell for Post Exploitation VLAN Exploitation VoIP Exploitation Insecure VPNs Exploitation Routing and Router vulnerabilities Internet Of Things Exploitation.
- (source: Nielsen Book Data)9781788623414 20180423
(source: Nielsen Book Data)9781788623414 20180423
- Book
- xviii, 254 pages ; 24 cm
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA275 .H235 2018 | Unknown |
17. Advanced simulation-based methods for optimal stopping and control : with applications in finance [2018]
- Book
- 1 online resource.
- Book
- 1 online resource (xi, 280 pages) : illustrations (some color).
- Book
- 1 online resource ( xx, 556 pages) : illustrations (some color).
- Intro; Preface; Acknowledgements; Contents; 1 Finite Groups and Lie Algebras: The ADE Classification and Beyond; 1.1 The ADE Classification of the Finite Subgroups of SU(2); 1.1.1 The Argument Leading to the Diophantine Equation; 1.1.2 Case r=2: The Infinite Series of Cyclic Groups mathfrakan; 1.1.3 Case r=3 and its Solutions; 1.1.4 Summary of the ADE Classification of Finite Rotation Groups; 1.2 Lattices and Crystallographic Groups; 1.2.1 Lattices; 1.2.2 Crystallographic Groups and the Bravais Lattices for n=3; 1.2.3 The Proper Point Groups; 1.2.4 The Cubic Lattice and Its Point Group
- 1.2.5 The Octahedral Group O24simS41.2.6 Irreducible Representations of the Octahedral Group; 1.3 A Simple Crystallographic Point-Group in 7-Dimensions; 1.3.1 The Simple Group L168; 1.3.2 Structure of the Simple Group L168=PSL(2,mathbbZ7); 1.3.3 The 7-Dimensional Irreducible Representation; 1.3.4 The 3-Dimensional Complex Representations; 1.3.5 The 6-Dimensional Representation; 1.3.6 The 8-Dimensional Representation; 1.3.7 The Proper Subgroups of L168; 1.4 The General Form of a Simple Lie Algebra and the Root Systems; 1.4.1 The Cartan Matrices; 1.4.2 Dynkin Diagrams
- 1.5 The Classification Theorem1.6 The Exceptional Lie Algebra mathfrakg2; 1.7 A Golden Splitting for Quaternionic Algebras; 1.7.1 The Golden Splitting of the Quaternionic Algebra mathfrakg2; 1.7.2 Chevalley-Serre Basis; 1.8 The Lie Algebra mathfrakf4 and its Fundamental Representation; 1.8.1 Explicit Construction of the Fundamental and Adjoint Representation of mathfrakf4; 1.9 Conclusions for This Chapter; References; 2 Isometries and the Geometry of Coset Manifolds; 2.1 Conceptual and Historical Introduction; 2.1.1 Symmetric Spaces and Elie Cartan
- 2.1.2 Where and How Do Coset Manifolds Come into Play?2.1.3 The Deep Insight of Supersymmetry; 2.2 Isometries and Killing Vector Fields; 2.3 Coset Manifolds; 2.3.1 The Geometry of Coset Manifolds; 2.4 The Real Sections of a Complex Lie Algebra and Symmetric Spaces; 2.5 The Solvable Group Representation of Non-compact Coset Manifolds; 2.5.1 The Tits Satake Projection: An Anticipation; References; 3 Complex and Quaternionic Geometry; 3.1 Imaginary Units and Geometry; 3.1.1 The Precognitions of Supersymmetry; 3.2 Complex Structures on 2n-Dimensional Manifolds
- 3.3 Metric and Connections on Holomorphic Vector Bundles3.4 Characteristic Classes and Elliptic Complexes; 3.5 KÃ¤hler Metrics; 3.6 Hypergeometry; 3.6.1 Quaternionic KÃ¤hler, Versus HyperKÃ¤hler Manifolds; 3.7 Moment Maps; 3.7.1 The Holomorphic Moment Map on KÃ¤hler Manifolds; 3.7.2 The Triholomorphic Moment Map on Quaternionic Manifolds; 3.8 KÃ¤hler Surfaces with One Continuous Isometry; 3.8.1 The Curvature and the KÃ¤hler Potential of the Surface Î£; 3.8.2 Asymptotically Flat KÃ¤hler Surfaces with an Elliptic Isometry Group
- Intro; Preface; Acknowledgements; Contents; 1 Finite Groups and Lie Algebras: The ADE Classification and Beyond; 1.1 The ADE Classification of the Finite Subgroups of SU(2); 1.1.1 The Argument Leading to the Diophantine Equation; 1.1.2 Case r=2: The Infinite Series of Cyclic Groups mathfrakan; 1.1.3 Case r=3 and its Solutions; 1.1.4 Summary of the ADE Classification of Finite Rotation Groups; 1.2 Lattices and Crystallographic Groups; 1.2.1 Lattices; 1.2.2 Crystallographic Groups and the Bravais Lattices for n=3; 1.2.3 The Proper Point Groups; 1.2.4 The Cubic Lattice and Its Point Group
- 1.2.5 The Octahedral Group O24simS41.2.6 Irreducible Representations of the Octahedral Group; 1.3 A Simple Crystallographic Point-Group in 7-Dimensions; 1.3.1 The Simple Group L168; 1.3.2 Structure of the Simple Group L168=PSL(2,mathbbZ7); 1.3.3 The 7-Dimensional Irreducible Representation; 1.3.4 The 3-Dimensional Complex Representations; 1.3.5 The 6-Dimensional Representation; 1.3.6 The 8-Dimensional Representation; 1.3.7 The Proper Subgroups of L168; 1.4 The General Form of a Simple Lie Algebra and the Root Systems; 1.4.1 The Cartan Matrices; 1.4.2 Dynkin Diagrams
- 1.5 The Classification Theorem1.6 The Exceptional Lie Algebra mathfrakg2; 1.7 A Golden Splitting for Quaternionic Algebras; 1.7.1 The Golden Splitting of the Quaternionic Algebra mathfrakg2; 1.7.2 Chevalley-Serre Basis; 1.8 The Lie Algebra mathfrakf4 and its Fundamental Representation; 1.8.1 Explicit Construction of the Fundamental and Adjoint Representation of mathfrakf4; 1.9 Conclusions for This Chapter; References; 2 Isometries and the Geometry of Coset Manifolds; 2.1 Conceptual and Historical Introduction; 2.1.1 Symmetric Spaces and Elie Cartan
- 2.1.2 Where and How Do Coset Manifolds Come into Play?2.1.3 The Deep Insight of Supersymmetry; 2.2 Isometries and Killing Vector Fields; 2.3 Coset Manifolds; 2.3.1 The Geometry of Coset Manifolds; 2.4 The Real Sections of a Complex Lie Algebra and Symmetric Spaces; 2.5 The Solvable Group Representation of Non-compact Coset Manifolds; 2.5.1 The Tits Satake Projection: An Anticipation; References; 3 Complex and Quaternionic Geometry; 3.1 Imaginary Units and Geometry; 3.1.1 The Precognitions of Supersymmetry; 3.2 Complex Structures on 2n-Dimensional Manifolds
- 3.3 Metric and Connections on Holomorphic Vector Bundles3.4 Characteristic Classes and Elliptic Complexes; 3.5 KÃ¤hler Metrics; 3.6 Hypergeometry; 3.6.1 Quaternionic KÃ¤hler, Versus HyperKÃ¤hler Manifolds; 3.7 Moment Maps; 3.7.1 The Holomorphic Moment Map on KÃ¤hler Manifolds; 3.7.2 The Triholomorphic Moment Map on Quaternionic Manifolds; 3.8 KÃ¤hler Surfaces with One Continuous Isometry; 3.8.1 The Curvature and the KÃ¤hler Potential of the Surface Î£; 3.8.2 Asymptotically Flat KÃ¤hler Surfaces with an Elliptic Isometry Group
- Book
- 1 online resource. Digital: text file; PDF.
- Theory.- Basic principles of PCA.- Geometric Principles of PCA.- Principal components and Correlation.- PCA in Regression analysis matrices.- PCA in cluster analysis.- PCA and factor analysis.- PCA for time series and independent data (ICA).- Sparse PCA.- Non-negative PCA.- Applications of PCA.- PCA for Electrocardiography (ECG) applications.- PCA for Electroencephalography (EEG) applications.- PCA for Electromyography (EMG) applications.- PCA for bioinformatics and gene expression applications.- PCA for human movement science applications.- PCA for Gait Kinematics for Patients with Knee Osteoarthritis.- Neuroscience and biomedical application of PCA.- PCA applications for Brain Computer Interface (BCI) and motor imagery tasks.- PCA for Image processing applications.- PCA for Video processing applications.- PCA for dimensional reduction applications.- PCA for financial and economics applications.
- (source: Nielsen Book Data)9789811067037 20180306
(source: Nielsen Book Data)9789811067037 20180306
- Theory.- Basic principles of PCA.- Geometric Principles of PCA.- Principal components and Correlation.- PCA in Regression analysis matrices.- PCA in cluster analysis.- PCA and factor analysis.- PCA for time series and independent data (ICA).- Sparse PCA.- Non-negative PCA.- Applications of PCA.- PCA for Electrocardiography (ECG) applications.- PCA for Electroencephalography (EEG) applications.- PCA for Electromyography (EMG) applications.- PCA for bioinformatics and gene expression applications.- PCA for human movement science applications.- PCA for Gait Kinematics for Patients with Knee Osteoarthritis.- Neuroscience and biomedical application of PCA.- PCA applications for Brain Computer Interface (BCI) and motor imagery tasks.- PCA for Image processing applications.- PCA for Video processing applications.- PCA for dimensional reduction applications.- PCA for financial and economics applications.
- (source: Nielsen Book Data)9789811067037 20180306
(source: Nielsen Book Data)9789811067037 20180306