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 Hill, Theodore Preston, author.
 [Providence, Rhode Island] : American Mathematical Society ; [Washington, D.C.] : Mathematical Association of America, [2017]
 Description
 Book — viii, 294 pages, 24 unnumbered pages of plates : illustrations ; 27 cm
 Summary

 * Photo section* Day of the handshakes* The star years* Out of the gates* Preparing for war* Vietnam* Return to reason* The Fulbright interlude* $\textit{Berzerkeley}$* The apprenticeship* $\textit{Eurekas}$* The global math guild* The math $\textit{Ohana}$* The Penn State syndrome* Permanent sabbatical* Postscript.
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QA29 .H5245 H55 2017  Unknown 
2. A TeXas style introduction to proof [2017]
 Taylor, Ron, author.
 Washington, D.C. : The Mathematical Association of America, [2017]
 Description
 Book — xiv, 161 pages : illustrations ; 23 cm.
 Summary

 Symbolic logic
 Proof methods
 Mathematical induction
 Set theory
 Functions and relations
 Counting
 Axiomatics
 Mathematical writing
 Comments on style
 The structure of a LaTeX document.
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QA9.54 .T395 2017  Unknown 
3. The G.H. Hardy reader [2015]
 Cambridge, United Kingdom : Cambridge University Press, [2015]
 Description
 Book — xv, 395 pages : illustrations ; 24 cm.
 Summary

 Part I. Biography:
 1. Hardy's life
 2. The letter from Ramanujan to Hardy,
 16 January 1913
 3. A letter from Bertrand Russell to Lady Ottoline Morrell,
 2 February 1913
 4. The Indian mathematician Ramanujan
 5. Epilogue from the man who knew infinity
 6. Posters of 'Hardy's years at Oxford'
 7. A glimpse of J. E. Littlewood
 8. A letter from Freeman Dyson to C. P. Snow,
 22 May 1967, and two letters from Hardy to Dyson
 9. Miss Gertrude Hardy Part II. Writings by and about G. H. Hardy:
 10. Hardy on writing books
 11. Selections from Hardy's writings
 12. Selections from what others have said about Hardy Part III. Mathematics:
 13. An introduction to the theory of numbers
 14. Prime numbers
 15. The theory of numbers
 16. The Riemann zetafunction and lattice point problems
 17. Four Hardy gems
 18. What is geometry?
 19. The case against the mathematical tripos
 20. The mathematician on cricket
 21. Cricket for the rest of us
 22. A mathematical theorem about golf
 23. Mathematics in wartime
 24. Mathematics
 25. Asymptotic formul' in combinatory analysis (excerpts) with S. Ramanujan
 26. A new solution of Waring's problem (excerpts), with J. E. Littlewood
 27. Some notes on certain theorems in higher trigonometry
 28. The Integral _ 0sin xx dx and further remarks on the integral _ 0sin xx dx Part IV. Tributes:
 29. Dr. Glaisher and the 'messenger of mathematics'
 30. David Hilbert
 31. Edmund Landau (with H. Heilbronn)
 32. Gosta MittagLeffler Part V. Book Reviews:
 33. Osgood's calculus and Johnson's calculus
 34. Hadamard: the psychology of invention in the mathematical field
 35. Hulburt: differential and integral calculus
 36. Bocher: an introduction to the study of integral equations.
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QA29 .H23 G44 2015  Unknown 
4. A guide to advanced linear algebra [2011]
 Weintraub, Steven H.
 Washington, DC : Mathematical Association of America, 2011.
 Description
 Book — xii, 251 p. : ill. ; 23 cm.
 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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QA184.2 .W45 2011  Unknown 
 Alsina, Claudi.
 [Washington, D.C.] : Mathematical Association of America, c2010.
 Description
 Book — xxiv, 295 p. : ill. ; 24 cm.
 Summary

 Preface Introduction
 1. A garden of integers
 2. Distinguished numbers
 3. Points in the plane
 4. The polygonal playground
 5. A treasury of triangle theorems
 6. The enchantment of the equilateral triangle
 7. The quadrilaterals' corner
 8. Squares everywhere
 9. Curves ahead
 10. Adventures in tiling and coloring
 11. Geometry in three dimensions
 12. Additional theorems, problems and proofs Solutions to the challenges References Index About the authors.
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QA9.54 .A57 2010  Unknown 
6. Excursions in classical analysis : pathways to advanced problem solving and undergraduate research [2010]
 Chen, Hongwei.
 Washington, D.C. : Mathematical Association of America, c2010.
 Description
 Book — xiii, 301 p. : ill. ; 26 cm.
 Summary

 Preface
 1. Two classical inequalities
 2. A new approach for proving inequalities
 3. Means generated by an integral
 4. The L'Hopital monotone rule
 5. Trigonometric identities via complex numbers
 6. Special numbers
 7. On a sum of cosecants
 8. The gamma products in simple closed forms
 9. On the telescoping sums
 10. Summation of subseries in closed form
 11. Generating functions for powers of Fibonacci numbers
 12. Identities for the Fibonacci powers
 13. Bernoulli numbers via determinants
 14. On some finite trigonometric power sums
 15. Power series
 16. Six ways to sum (2)
 17. Evaluations of some variant Euler sums
 18. Interesting series involving binomial coefficients
 19. Parametric differentiation and integration
 20. Four ways to evaluate the Poisson integral
 21. Some irresistible integrals Solutions to selected problems.
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QA301 .C43 2010  Unknown 
 Nillsen, Rodney.
 [Washington, D.C.] : Mathematical Association of America, c2010.
 Description
 Book — xviii, 357 p. : ill. ; 22 cm.
 Summary

 Introduction:
 1. Origins, approach and aims of the work
 2. Dynamical systems and the subject matter
 3. Using this book Part I. Background Ideas and Knowledge:
 4. Dynamical systems, iteration, and orbits
 5. Information loss and randomness in dynamical systems
 6. Assumed knowledge and notations Appendix: mathematical reasoning and proof Exercises Investigations Notes Bibliography Part II. Irrational Numbers and Dynamical Systems:
 7. Introduction: irrational numbers and the infinite
 8. Fractional parts and points on the unit circle
 9. Partitions and the pigeonhole principle
 10. Kronecker's theorem
 11. The dynamical systems approach to Kronecker's theorem
 12. Kronecker and chaos in the music of Steve Reich
 13. The ideas in Weyl's theorem on irrational numbers
 14. The proof of Weyl's theorem
 15. Chaos in Kronecker systems Exercises Investigations Notes Bibliography Part III. Probability and Randomness:
 16. Introduction: probability, coin tossing and randomness
 17. Expansions to a base
 18. Rational numbers and periodic expansions
 19. Sets, events, length and probability
 20. Sets of measure zero
 21. Independent sets and events
 22. Typewriters, recurrence, and the Prince of Denmark
 23. The Rademacher functions
 24. Randomness, binary expansions and a law of averages
 25. The dynamical systems approach
 26. The Walsh functions
 27. Normal numbers and randomness
 28. Notions of probability and randomness
 29. The curious phenomenon of the leading significant digit
 30. Leading digits and geometric sequences
 31. Multiple digits and a result of Diaconis
 32. Dynamical systems and changes of scale
 33. The equivalence of Kronecker and Benford dynamical systems
 34. Scale invariance and the necessity of Benford's law Exercises Investigations Notes Bibliography Part IV. Recurrence:
 35. Introduction: random systems and recurrence
 36. Transformations that preserve length
 37. Poincare recurrence
 38. Recurrent points
 39. Kac's result on average recurrence times
 40. Applications to the Kronecker and Borel dynamical systems
 41. The standard deviation of recurrence times Exercises Investigations Notes Bibliography Part V. Averaging in Time and Space:
 42. Introduction: averaging in time and space
 43. Outer measure
 44. Invariant sets
 45. Measurable sets
 46. Measurepreserving transformations
 47. Poincare recurrence ... again!
 48. Ergodic systems
 49. Birkhoff's theorem: the time average equals the space average
 50. Weyl's theorem from the ergodic viewpoint
 51. The Ergodic Theorem and expansions to an arbitrary base
 52. Kac's recurrence formula: the general case
 53. Mixing transformations and an example of Kakutani
 54. Luroth transformations and continued fractions Exercises Investigations Notes Bibliography Index.
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QA614.8 .N55 2010  Unknown 
8. Biscuits of number theory [2009]
 Washington, D.C. : Mathematical Association of America, c2009.
 Description
 Book — xiii, 311 p. : ill. ; 27 cm.
 Summary

 Introduction Part I. Arithmetic:
 1. A dozen questions about the powers of two
 2. From
 30 to
 60 is not twice as hard Michael Dalezman
 3. Reducing the sum of two fractions Harris S. Shultz and Ray C. Shiflett
 4. A postmodern view of fractions and reciprocals of Fermat primes Rafe Jones and Jan Pearce
 5. Visible structures in number theory Peter Borwein and Loki Jorgenson
 6. Visual gems of number theory Roger B. Nelsen Part II. Primes:
 7. A new proof of Euclid's theorem Filip Saidak
 8. On the infinitude of the primes Harry Furstenberg
 9. On the series of prime reciprocals James A. Clarkson
 10. Applications of a simple counting technique Melvin Hausner
 11. On weird and pseudoperfect numbers S. J. Benkoski and P. Erdos
 12. A heuristic for the prime number theorem Hugh L. Montgomery and Stan Wagon
 13. A tale of two sieves Carl Pomerance Part III. Irrationality and Continued Fractions:
 14. Irrationality of the square root of two  a geometric proof Tom M. Apostol
 15. Math bite: irrationality of m Harley Flanders
 16. A simple proof that p is irrational Ivan Niven
 17. p, e and other irrational numbers Alan E. Parks
 18. A short proof of the simple continued fraction of e Henry Cohn
 19. Diophantine Olympics and world champions: polynomials and primes down under Edward B. Burger
 20. An elementary proof of the Wallis product formula for Pi Johan Wastlund
 21. The Orchard problem Ross Honsberger Part IV. Sums of Squares and Polygonal Numbers:
 22. A onesentence proof that every prime p ==
 1 (mod 4) is a sum of two squares D. Zagier
 23. Sum of squares II Martin Gardner and Dan Kalman
 24. Sums of squares VIII Roger B. Nelsen
 25. A short proof of Cauchy's polygonal number theorem Melvyn B. Nathanson
 26. Genealogy of Pythagorean triads A. Hall Part V. Fibonacci Numbers:
 27. A dozen questions about Fibonacci numbers James Tanton
 28. The Fibonacci numbers  exposed Dan Kalman and Robert Mena
 29. The Fibonacci numbers  exposed more discretely Arthur T. Benjamin and Jennifer J. Quinn Part VI. NumberTheoretic Functions:
 30. Great moments of the Riemann zeta function Jennifer Beineke and Chris Hughes
 31. The Collatz chameleon Marc Chamberland
 32. Bijecting Euler's partition recurrence David M. Bressoud and Doron Zeilberger
 33. Discovery of a most extraordinary law of the numbers concerning the sum of their divisors Leonard Euler
 34. The factorial function and generalizations Manjul Bhargava
 35. An elementary proof of the quadratic reciprocity law Sey Y. Kim Part VII. Elliptic Curves, Cubes and Fermat's Last Theorem:
 36. Proof without words: cubes and squares J. Barry Love
 37. Taxicabs and sums of two cubes Joseph H. Silverman
 38. Three Fermat trails to elliptic curves Ezra Brown
 39. Fermat's last theorem in combinatorial form W. V. Quine
 40. 'A marvellous proof' Fernando Q. Gouvea About the editors.
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QA241 .B57 2009  Unknown 
 Pollatsek, Harriet Suzanne Katcher.
 Washington, D.C. : Mathematical Association of America, c2009.
 Description
 Book — xii, 177 p. : ill. ; 26 cm.
 Summary

 1. Symmetries of vector spaces: 1.1. What is a symmetry? 1.2. Distance is fundamental 1.3. Groups of symmetries 1.4. Bilinear forms and symmetries of spacetime 1.5. Putting the pieces together 1.6. A broader view: Lie groups
 2. Complex numbers, quaternions and geometry: 2.1. Complex numbers 2.2. Quaternions 2.3. The geometry of rotations of R3 2.4. Putting the pieces together 2.5. A broader view: octonions
 3. Linearization: 3.1. Tangent spaces 3.2. Group homomorphisms 3.3. Differentials 3.4. Putting the pieces together 3.5. A broader view: Hilbert's fifth problem
 4. Oneparameter subgroups and the exponential map: 4.1. Oneparameter subgroups 4.2. The exponential map in dimension one 4.3. Calculating the matrix exponential 4.4. Properties of the matrix exponential 4.5. Using exp to determine L(G) 4.6. Differential equations 4.7. Putting the pieces together 4.8. A broader view: Lie and differential equations 4.9. Appendix on convergence
 5. Lie algebras: 5.1. Lie algebras 5.2. Adjoint maps { big `A' and small `a' 5.3. Putting the pieces together 5.4. A broader view: Lie theory
 6. Matrix groups over other fields: 6.1. What is a field? 6.2. The unitary group 6.3. Matrix groups over finite fields 6.4. Putting the pieces together 6.5. A broader view of finite groups of Lie type and simple groups
 Appendix I. Linear algebra facts
 Appendix II. Paper assignment used at Mount Holyoke College
 Appendix III. Opportunities for further study Solutions to selected problems Bibliography.
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QA387 .P65 2009  Unknown 
10. Sphere packing, Lewis Carroll, and reversi : Martin Gardner's new mathematical diversions [2009]
 Gardner, Martin, 19142010
 Cambridge ; New York : Cambridge University Press, 2009.
 Description
 Book — xiv, 282 p. : ill. ; 23 cm.
 Summary

 1. The binary system
 2. Group theory and braids
 3. Eight problems
 4. The games and puzzles of Lewis Carroll
 5. Paper cutting
 6. Board games
 7. Sphere packing
 8. The transcendental number Pi
 9. Victor Eigen, mathemagician
 10. The fourcolor map theorem
 11. Mr. Apollinax visits New York
 12. Nine problems
 13. Polyominoes and faultfree rectangles
 14. Euler's spoilers: the discovery of an Order10 GraecoLatin square
 15. The ellipse
 16. The
 24 color squares and the
 30 color cubes
 17. H. S. M. Coxeter
 18. Bridgit and other games
 19. Nine more problems
 20. The calculus of finite differences.
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QA95 .G323 2009  Unknown 
11. Calculus film project [videorecording] [2008]
 Washington, D.C.: Mathematical Association of America, [2008?]
 Description
 Video — 1 videodisc (159 min.): sd., col.; 4 3/4 in.
 Summary

 pt.
 1. A function is a mapping
 Continuity of mapping
 Limit
 I maximize
 Theorem of the mean
 Policeman
 pt.
 2. Newton's method
 The definite integral as a limit
 Fundamental theorem of calculus
 What is area?
 pt.
 3. Area under a curve
 The definite integral
 The volume of a solid of revolution
 Volume by shells
 Infinite areas.
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QA303 .C35 2008  Unknown 
 Deluxe ed.  [Washington, D.C.] : Mathematical Association of America, c2008.
 Description
 Video — 1 videodisc (82 min.) : sd., col. ; 4 3/4 in.
 Summary

"About the extraordinarily gifted students who represented the United States in 2006 at the world's toughest math competition: the International Mathematical Olympiad (IMO). It is the story of six American high school students who competed with 500 others from 90 countries in Ljubljana, Slovenia. The film shows the dedication and perseverance of these remarkably talented students, the rigorous preparation they undertake, and the joy they get out of solving challenging problems. It captures the spirit that infuses the mathematical quest at the highest level"Container
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QA43 .H372 2008  Unknown 
 [Washington, D.C.] : Published and distributed by the Mathematical Association of America, c2008.
 Description
 Book — xxxii, 346 p. : ill. ; 27 cm.
 Summary

 Proof and how it is changing. Proof : its nature and significance / Michael Detlefsen
 Implications of experimental mathematics for the philosophy of mathematics / Jonathan Borwein
 On the roles of proof in mathematics / Joseph Auslander
 Social constructivist views of mathematics. When is a problem solved? / Philip J. Davis
 Mathematical practice as a scientific problem / Reuben Hersh
 Mathematical domains : social constructs? / Julian Cole
 The nature of mathematical objects and mathematical knowledge. The existence of mathematical objects / Charles Chihara
 Mathematical objects / Stewart Shapiro
 Mathematical platonism / Mark Balaguer
 The nature of mathematical objects / Øystein Linnebo
 When is one thing equal to some other thing? / Barry Mazur
 The nature of mathematics and its applications. Extreme science : mathematics as the science of relations as such / R.S.D. Thomas
 What is mathematics? A pedagogical answer to a philosophical question / Guershon Harel
 What will count as mathematics in 2100? / Keith Devlin
 Mathematics applied : the case of addition / Mark Steiner
 Probability : a philosophical overview / Alan Hájek.
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QA8.4 .P755 2008  Unknown 
 Faires, J. Douglas.
 Washington, DC : Mathematical Association of America, c2006.
 Description
 Book — xxi, 307 p. : ill. ; 24 cm.
 Summary

 Preface
 1. Arithmetic ratios
 2. Polynomials and their zeros
 3. Exponentials and radicals
 4. Defined functions and operations
 5. Triangle geometry
 6. Circle geometry
 7. Polygons
 8. Counting
 9. Probability
 10. Prime decomposition
 11. Number theory
 12. Sequences and series
 13. Statistics
 14. Trigonometry
 15. Threedimensional geometry
 16. Functions
 17. Logarithms
 18. Complex numbers Solutions to exercises Epilogue Sources of the exercises Index About the author.
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QA43 .F33 2006  Unknown 
15. Mathematical miniatures [2003]
 Savchev, Svetoslav.
 Washington, D.C. ; [Great Britain] : Mathematical Association of America, c2003.
 Description
 Book — xi, 223 p. : ill. ; 23 cm.
 Summary

 1. Warmup problem set
 2. Problems
 3. Instead of an afterword.
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QA43 .S26 2003  Unknown 
16. Careers in mathematics [videorecording] [1998]
 [Providence, R.I.] : American Mathematical Society, 1999.
 Description
 Video — 1 videodisc (26 min.) : sd., col. ; 4 3/4 in.
 Summary

Contains interviews with mathematicians working in industry, business and government. The purpose of the video is to allow the viewer to hear from people working outside academia what their daytoday work life is like and how their background in mathematics contributes to their ability to do their job. Interviews were conducted on site, showing the work environment and some of the projects mathematicians were contributing to as part of multidisciplinary teams. People interviewed come from industrial based firms such as Kodak and Boeing, business and financial firms such as Price Waterhouse and D.E. Shaw & Co., and government agencies such as the National Institute of Standards and Technology and the Naval Sea System Command.
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QA10.5 .C37 1999  Unknown 
 [Washington, D.C.] : Mathematical Association of America, c1992.
 Description
 Book — xi, 194 p. ; 28 cm.
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Z6651 .L52 1992  Inlibrary use 
18. Mathematical writing [1989]
 Knuth, Donald Ervin, 1938
 [Washington, D.C.] : The Mathematical Association of America, c1989.
 Description
 Book — 115 p. ; 28 cm.
 Summary

 1. Minicourse on technical writing
 2. An exercise on technical writing
 3. An answer to the exercise
 4. Comments on student answers
 5. Preparing books for publication
 6. Handy reference book
 7. Presenting algorithms
 8. Literate programming
 9. User manuals
 10. Galley proofs
 11. Refereeing
 12. Hints for referees
 13. Illustrations
 14. Homework: subscripts and superscripts
 15. Homework: solutions
 16. Quotations
 17. Scientific American saga
 18. Examples of good style
 19. MaryClaire van Leunen on 'hopefully'
 20. Herb Wilf on mathematical writing
 21. Wilf's first extreme
 22. Wilf's other extreme
 23. Jeff Ullman on getting rich
 24. Leslie Lamport on writing papers
 25. Lamport's handout on unnecessary prose
 26. Lamport's handout on styles of proof
 2. Nils Nilsson on art and writing
 28. MaryClaire van Leunen on callisthenics
 29. MaryClaire's handout on compositional exercises
 30. Comments on student work
 31. MaryClaire van Leunen on which vs. that
 32. Computer aids to writing
 33. Rosalie Stemer on copy editing
 34. Paul Halmos on mathematical writing
 35. Final truths.
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T11 .K57 1989  Unknown 
19. U.S.A. mathematical olympiads, 19721986 [1988]
 Klamkin, Murray S.
 Washington, D.C. : Mathematical Association of America, c1988.
 Description
 Book — xiii, 127 p. : ill. ; 23 cm.
 Summary

People delight in working on problems ""because they are there, "" for the sheer pleasure of meeting a challenge. This is a book full of such delights. In it, Murray S. Klamkin brings together 75 original USA Mathematical Olympiad (USAMO) problems for yearss 19721986, with many improvements, extensions, related exercises, open problems, references and solutions, often showing alternative approaches. The problems are coded by subject, and solutions are arranged by subject, e.g., algebra, number theory, solid geometry, etc., as an aid to those interested in a particular field. Included is a Glossary of frequently used terms and theorems and a comprehensive bibliography with items numbered and referred to in brackets in the text. This a collection of problems and solutions of arresting ingenuity, all accessible to secondary school students. The USAMO has been taken annually by about 150 of the nation's best high school mathematics students. This exam helps to find and encourage high school students with superior mathematical talent and creativity and is the culmination of a threetiered competition that begins with the American High School Mathematics Examination (AHSME) taken by over 400,000 students. The eight winners of the USAMO are candidates for the US team in the International Mathematical Olympiad. Schools are encouraged to join this large and important enterprise. See page x of the preface for further information. This book includes a list of all of the top contestants in the USAMO and their schools. The problems are intriguing and the solutions elegant and informative. Students and teachers will enjoy working these challenging problems. Indeed, all those who are mathematically inclined will find many delights and pleasant challenges in this book.
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QA43 .K466 1988  Unknown 
 Artino, Ralph A., 1944
 Washington : Mathematical Association of America, [1983?]
 Description
 Book — xiv, 184 p. : ill. ; 23 cm.
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QA43 .A729 1983  Unknown 