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 Alsina, Claudi.
 Washington, DC : The Mathematical Association of America, [2015]
 Description
 Book — xiv, 272 pages : illustrations, maps ; 24 cm.
 Summary

 Contents Preface
 1. Introduction
 2. Enumeration
 3. Representation
 4. Dissection
 5. Plane sections
 6. Intersection
 7. Iteration
 8. Motion
 9. Projection
 10. Folding and unfolding Solutions to the challenges References Index About the authors.
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QA491 .A47 2015  Unknown 
2. Varieties of integration [2015]
 Rosentrater, C. Ray, author.
 Washington, DC : Mathematical Association of America, [2015]
 Description
 Book — xv, 325 pages : illustrations ; 24 cm.
 Summary

 Preface
 1. A historical introduction
 2. The Riemann integral
 3. The Darboux integral
 4. A functional zoo
 5. Another approach: measure theory
 6. The Lebesgue integral
 7. The gauge integral
 8. Stieltjestype integrals and extensions
 9. A look back
 10. Afterword: L2 spaces and Fourier series Appendices: a compendium of definitions and results Index.
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QA308 .R67 2015  Unknown 
3. A Guide to Advanced Linear Algebra [2012]
 Weintraub, Steven H.
 Cambridge : Cambridge University Press, 2012.
 Description
 Book — 1 online resource.
 Summary

 Preface
 1. Vector spaces and linear transformations
 2. Coordinates
 3. Determinants
 4. The structure of a linear transformation I
 5. The structure of a linear transformation II
 6. Bilinear, sesquilinear, and quadratic forms
 7. Real and complex inner product spaces
 8. Matrix groups as Lie groups A. Polynomials: A.1 Basic properties A.2 Unique factorization A.3 Polynomials as expressions and polynomials as functions B. Modules over principal ideal domains: B.1 Definitions and structure theorems B.2 Derivation of canonical forms Bibliography Index.
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4. A Guide to Complex Variables [2012]
 Krantz, Steven G. (Steven George), 1951
 Cambridge : Cambridge University Press, 2012.
 Description
 Book — 1 online resource.
 Summary

 Preface
 1. The complex plane
 2. Complex line integrals
 3. Applications of the Cauchy theory
 4. Isolated singularities and Laurent series
 5. The argument principle
 6. The geometric theory of holomorphic functions
 7. Harmonic functions
 8. Infinite series and products
 9. Analytic continuation.
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5. A Guide to Elementary Number Theory [2012]
 Dudley, Underwood.
 Cambridge : Cambridge University Press, 2012.
 Description
 Book — 1 online resource.
 Summary

 Introduction
 1. Greatest common divisors
 2. Unique factorization
 3. Linear diophantine equations
 4. Congruences
 5. Linear congruences
 6. The Chinese Remainder Theorem
 7. Fermat's Theorem
 8. Wilson's Theorem
 9. The number of divisors of an integer
 10. The sum of the divisors of an integer
 11. Amicable numbers
 12. Perfect numbers
 13. Euler's Theorem and function
 14. Primitive roots and orders
 15. Decimals
 16. Quadratic congruences
 17. Gauss's Lemma
 18. The Quadratic Reciprocity Theorem
 19. The Jacobi symbol
 20. Pythagorean triangles
 21. x4+y4 z4
 22. Sums of two squares
 23. Sums of three squares
 24. Sums of four squares
 25. Waring's Problem
 26. Pell's Equation
 27. Continued fractions
 28. Multigrades
 29. Carmichael numbers
 30. Sophie Germain primes
 31. The group of multiplicative functions
 32. Bounds for (x)
 33. The sum of the reciprocals of the primes
 34. The Riemann Hypothesis
 35. The Prime Number Theorem
 36. The abc conjecture
 37. Factorization and testing for primes
 38. Algebraic and transcendental numbers
 39. Unsolved problems Index About the author.
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6. A Guide to Real Variables [2012]
 Krantz, Steven G. (Steven George), 1951
 Cambridge : Cambridge University Press, 2012.
 Description
 Book — 1 online resource.
 Summary

 Preface
 1. Basics
 2. Sequences
 3. Series
 4. The topology of the real line
 5. Limits and the continuity of functions
 6. The derivative
 7. The integral
 8. Sequences and series of functions
 9. Advanced topics Glossary of terms from real variable theory Bibliography Index.
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7. A Guide to Topology [2012]
 Krantz, Steven G. (Steven George), 1951
 Cambridge : Cambridge University Press, 2012.
 Description
 Book — 1 online resource.
 Summary

 Preface Part I. Fundamentals: 1.1. What is topology? 1.2. First definitions 1.3 Mappings 1.4. The separation axioms 1.5. Compactness 1.6. Homeomorphisms 1.7. Connectedness 1.8. Pathconnectedness 1.9. Continua 1.10. Totally disconnected spaces 1.11. The Cantor set 1.12. Metric spaces 1.13. Metrizability 1.14. Baire's theorem 1.15. Lebesgue's lemma and Lebesgue numbers Part II. Advanced Properties: 2.1 Basis and subbasis 2.2. Product spaces 2.3. Relative topology 2.4. First countable and second countable 2.5. Compactifications 2.6. Quotient topologies 2.7. Uniformities 2.8. Morse theory 2.9. Proper mappings 2.10. Paracompactness Part III. MooreSmith Convergence and Nets: 3.1. Introductory remarks 3.2. Nets Part IV. Function Spaces: 4.1. Preliminary ideas 4.2. The topology of pointwise convergence 4.3. The compactopen topology 4.4. Uniform convergence 4.5. Equicontinuity and the AscoliArzela theorem 4.6. The Weierstrass approximation theorem Table of notation Glossary Bibliography Index.
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8. New horizons in geometry [2012]
 Apostol, Tom M., author.
 Washington, D.C. : Mathematical Association of America, [2012] Mathematical Association of America South Korea ; Pasadena, CA : Charles Allen Imaging Experts
 Description
 Book — 1 online resource (xiv, 513 pages) : color illustrations.
 Summary

 1. Mamikon's sweeping tangent theorem
 2. Cycloids and trochoids
 3. Cyclogons and trochogons
 4. Circumgons and circumsolids
 5. The method of punctured containers
 6. Unwrapping curves from cylinders and cones
 7. New descriptions of conics via twisted cylinders, focal disks, and directors
 8. Ellipse to hyperbola: 'with this string I thee wed'
 9. Trammels
 10. Isoperimetric and isoparametric problems
 11. Arclength and tanvolutes
 12. Centroids
 13. Sums of squares
 14. Appendix.
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 Cambridge : Cambridge University Press, 2012.
 Description
 Book — 1 online resource.
 Summary

 Preface Introduction
 1. Representing positive numbers as lengths of segments
 2. Representing positive numbers as areas or volumes
 3. Inequalities and the existence of triangles
 4. Using incircles and circumcircles
 5. Using reflections
 6. Using rotations
 7. Employing nonisometric transformations
 8. Employing graphs of functions
 9. Additions topics Solutions to the challenges Selected open challenges for visualizing inequalities Symbols and notation References Index.
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 Simoson, Andrew J.
 Washington, DC : Mathematical Association of America, c2007.
 Description
 Book — xv, 344 p. : ill. ; 24 cm.
 Summary

 Introduction Preamble I. Good to fall
 1. Hesiod's muses Preamble II. Towers crash
 2. The gravity of Hades Preamble III. A great fall
 3. Ballistics Preamble IV. A new leaf
 4. Heavenly motion Preamble V. Falling oars
 5. Pendulum variations Preamble VI. Half to fall
 6. Retrieving H.G. Wells from the ocean floor Preamble VII. Turned round and round
 7. Sliding along a chord through a rotating Earth Preamble VIII. Fallen, fallen, fallen
 8. Falling through a rotating Earth Preamble IX. Falling into naught
 9. Shadow lands Preamble X. Spinning complete
 10. The Trochoid family Preamble XI. The world turned
 11. Retrieving H. G. Wells from the moon Preamble XII. Catch a star
 12. Playing ball in space Preamble XIII. Turn a different hue
 13. The rotating beacon Preamble XIV. Never turning
 14. The long count Preamble XV. What a fall!
 15. Hesiod's anvil Appendix Cast of characters Comments on selected exercises References Index About the author.
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QA845 .S56 2007  Available 
11. Conics [2005]
 Kendig, Keith, 1938
 [Washington, D.C.] : Mathematical Association of America, c2005.
 Description
 Book — xvi, 403 p. : ill. ; 27 cm. + 1 CDROM (4 3/4 in.)
 Summary

 1. Beauty and the beast
 2. Life at infinity
 3. How to giftwrap a hyperbola
 4. The cube
 5. The other foci: a well kept secret
 6. Are hyperbolas really ellipses?
 7. Stakes and strings
 8. Directrices, new and old
 9. Conics in general position
 10. A beautiful mathematical universe
 11. A most excellent theorem
 12. The big view
 13. Curvature
 14. Curvature of conics
 15. Photons and conics
 16. How conics solved a 2000yearold question
 17. Waves and conics
 Appendix 1 some conics formulas
 Appendix 2 Topology: a quick handshake.
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QA559 .K46 2005  Available 
12. Mathematical delights [2004]
 Honsberger, Ross, 19292016
 [Washington, D.C.] : Mathematical Association of America, c2004.
 Description
 Book — ix, 252 p. : ill. ; 23 cm.
 Summary

 1. From mathematical miniatures
 2. From the contest problem book VI
 3. From problemsolving through problems
 4. From Mathematics magazine
 5. From the college mathematics journal
 6. From the pi mu epsilon journal
 7. From problems in plene geometry
 8. From the New Mexico mathematics contest problem book
 9. From Leningrad olympiads
 10. From the contest problem book V
 11. From quantum
 12. From the mathematical visitor
 13. From the desk of LiongShin Hahn
 14. From the
 2002 New Mexico mathematics contest
 15. Two solutions by Archilleas Sinefakopoulas
 16. Alternative solutions by George Evagelopoulos to three problems from the
 1982 West German olympiad
 17. A curious result in geometry
 18. From the book of prime number records References Index of publications.
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QA95 .H66 2004  Unknown 
13. Mathematical diamonds [2003]
 Honsberger, Ross, 19292016
 Washington, D.C. : Mathematical Association of America ; Cambridge : Cambridge University Press, 2003.
 Description
 Book — 245 p. : ill. ; 23 cm.
 Summary

 1. The remarkable winerack property
 2. The Restless Lion
 3. Apples and sticks
 4. A surprising result of Paul Erdos
 5. Miscellaneous gleanings
 6. An application of Turan's theorem
 7. Four problems from Putnam papers
 8. Topics based on problems from Quantum
 9. Two distinguished integers
 10. A property of the binomial coefficients
 11. Nine miscellaneous problems
 12. A problem in cointossing
 13. Semiregular lattice polygons
 14. Six problems from the Canadian Open Mathematics Challenge
 15. Three pretty theorems in geometry
 16. Two gems from Euclidean geometry
 17. The ThueMorseHedlund sequence
 18. Two miscellaneous problems
 19. A surprising property of regular polygons
 20. Three short stories in number theory
 21. Three geometry problems
 22. Three problems from the
 1990 Balkan Olympiad
 23. A Japanese 'fan' problem
 24. Slicing a doughnut
 25. A problem from the
 1980 Tournament of the Towns.
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QA43 .H66 2003  Unknown 
 Benjamin, Arthur T.
 [Washington, D.C.] : Mathematical Association of America, c2003.
 Description
 Book — xiv, 194 p. : ill. ; 26 cm.
 Summary

 1. Fibonacci identities
 2. Lucas identities
 3. Gibonacci identities
 4. Linear recurrences
 5. Continued fractions
 6. Binomial identities
 7. Alternating sign binomial identities
 8. Harmonic numbers and Stirling numbers
 9. Number theory
 10. Advanced Fibonacci and Lucas identities.
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QA164 .N46 2003  Unknown 
 Graver, Jack E., 1935
 Washington, D.C. : Mathematical Association of America ; Cambridge : Cambridge University Press, c2001.
 Description
 Book — xii, 180 p. : ill. ; 23 cm.
 Summary

 1. Counting on frameworks
 2. Graph theory
 3. Rigidity theory
 4. History and applications
 5. Further reading.
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QA166.25 .G73 2001  Available 
16. Diophantus and diophantine equations [1997]
 Bashmakova, I. G. (Izabella Grigorʹevna)
 [Washington, DC] : Mathematical Association of America, c1997.
 Description
 Book — xiv, 90 p. : ill. ; 22 cm.
 Summary

 Introduction
 1. Diophantus
 2. Numbers and symbols
 3. Diophantine equations
 4. Evaluation of Diophantus' methods by historians of science
 5. Indeterminate quadratic equations
 6. Indeterminate cubic equations
 7. Diophantus and number theory
 8. Diophantus and the mathematicians of the 15th and 16th centuries
 9. Diophantus' methods in the works of Viete and Fermat
 10. Diophantine equations in the works of Euler and Jacobi: addition of points on an elliptic curve
 11. The geometric meaning of the operation of addition of points
 12. The arithmetic of algebraic curves
 13. Conclusion
 14. Supplement: the role of concrete numbers in Diophantus' 'Arithmetic'.
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QA242 .B4397 1997  Available 
 Honsberger, Ross, 19292016
 [Washington, D.C.] : Mathematical Association of America, c1997.
 Description
 Book — x, 315 p. : ill. ; 23 cm.
 Online
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QA43 .H633 1997  Unknown 
18. Lion hunting & other mathematical pursuits : a collection of mathematics, verse, and stories [1995]
 Boas, Ralph P. (Ralph Philip), 19121992
 [Washington, D.C.] : Mathematical Association of America, c1995.
 Description
 Book — xii, 308 p. : ill. ; 24 cm.
 Summary

 1. Lion hunting
 2. Infinite series
 3. Recollections and verse I
 4. The mean value theorem
 5. Recollections and verse II
 6. Indeterminate forms
 7. Recollections and verse III
 8. Complex variables
 9. Recollections and verse IV
 10. Inverse functions
 11. Recollections and verse V
 12. Bourbaki
 13. The teaching of mathematics
 14. Polynomials
 15. Polynomials
 16. Literature and mathematics
 17. Reviews and miscellaneous articles.
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QA99 .B63 1995  Available 
 Alsina, Claudi.
 [Washington, D.C.] : Mathematical Association of America, c2011.
 Description
 Book — xvii, 327 p. : ill ; 24 cm.
 Summary

 Preface Twenty key icons of mathematics
 1. The Bride's Chair
 2. Zhou Bi Suan Jing
 3. Garfield's trapezoid
 4. The semicircle
 5. Similar figures
 6. Cevians
 7. The right triangle
 8. Napoleon's triangles
 9. Arcs and angles
 10. Polygons with circles
 11. Two circles
 12. Venn diagrams
 13. Overlapping figures
 14. Yin and yang
 15. Polygonal lines
 16. Star polygons
 17. Selfsimilar figures
 18. Tatami
 19. The rectangular hyperbola
 20. Tiling Solutions to the challenges References Index About the authors.
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QA466 .A47 2011  Unknown 
 Alsina, Claudi, author.
 [Washington, D.C.] : The Mathematical Association of America, [2011]
 Description
 Book — 1 online resource (xvii, 327 pages) : illustrations, portraits. Digital: data file.
 Summary

 Preface Twenty key icons of mathematics
 1. The Bride's Chair
 2. Zhou Bi Suan Jing
 3. Garfield's trapezoid
 4. The semicircle
 5. Similar figures
 6. Cevians
 7. The right triangle
 8. Napoleon's triangles
 9. Arcs and angles
 10. Polygons with circles
 11. Two circles
 12. Venn diagrams
 13. Overlapping figures
 14. Yin and yang
 15. Polygonal lines
 16. Star polygons
 17. Selfsimilar figures
 18. Tatami
 19. The rectangular hyperbola
 20. Tiling Solutions to the challenges References Index About the authors.
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