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### 1. Pushing limits : from West Point to Berkeley & beyond[2017]

Book
viii, 294 pages, 24 unnumbered pages of plates : illustrations ; 27 cm
• * 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.
• (source: Nielsen Book Data)9781470435844 20170522
Pushing Limits: From West Point to Berkeley and Beyond challenges the myth that mathematicians lead dull and ascetic lives. It recounts the unique odyssey of a noted mathematician who overcame military hurdles at West Point, Army Ranger School and the Vietnam War, and survived many civilian escapades--hitchhiking in third-world hotspots, fending off sharks in Bahamian reefs, and camping deep behind the forbidding Iron Curtain. From ultra-conservative West Point in the '60s to ultra-radical Berkeley in the '70s, and ultimately to genteel Georgia Tech in the '80s, this is the tale of an academic career as noteworthy for its offbeat adventures as for its teaching and research accomplishments. It brings to life the struggles and risks underlying mathematical research, the unparalleled thrill of making scientific breakthroughs, and the joy of sharing those discoveries around the world. Hill's book is packed with energy, humor, and suspense, both physical and intellectual. Anyone who is curious about how a maverick mathematician thinks, who wants to relive the zanier side of the '60s and '70s, who wants an armchair journey into the third world, or who seeks an unconventional viewpoint about some of our more revered institutions, will be drawn to this book.
(source: Nielsen Book Data)9781470435844 20170522
Science Library (Li and Ma)

### 2. A TeXas style introduction to proof[2017]

Book
xiv, 161 pages : illustrations ; 23 cm.
• Symbolic logic
• Proof methods
• Mathematical induction
• Set theory
• Functions and relations
• Counting
• Axiomatics
• Mathematical writing
• The structure of a LaTeX document.
Science Library (Li and Ma)

### 3. The G.H. Hardy reader[2015]

Book
xv, 395 pages : illustrations ; 24 cm.
• 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 zeta-function 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 war-time-- 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 Mittag-Leffler-- 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.
• (source: Nielsen Book Data)9781107594647 20160704
G. H. Hardy (1877-1947) ranks among the great mathematicians of the twentieth century. He did essential research in number theory and analysis, held professorships at Cambridge and Oxford, wrote important textbooks as well as the classic A Mathematician's Apology, and famously collaborated with J. E. Littlewood and Srinivasa Ramanujan. Hardy was a colorful character with remarkable expository skills. This book is a feast of G. H. Hardy's writing. There are selections of his mathematical papers, his book reviews, his tributes to departed colleagues. Some articles are serious, whereas others display a wry sense of humor. And there are recollections by those who knew Hardy, along with biographical and mathematical pieces written explicitly for this collection. Fans of Hardy should find much here to like. And for those unfamiliar with his work, The G. H. Hardy Reader provides an introduction to this extraordinary individual.
(source: Nielsen Book Data)9781107594647 20160704
Science Library (Li and Ma)

### 4. A guide to advanced linear algebra[2011]

Book
xii, 251 p. : ill. ; 23 cm.
• 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.
• (source: Nielsen Book Data)9780883853511 20160605
Linear algebra occupies a central place in modern mathematics. This book provides a rigorous and thorough development of linear algebra at an advanced level. It approaches linear algebra from an algebraic point of view, but its selection of topics is governed not only for their importance in linear algebra itself, but also for their applications throughout mathematics. Topics treated in this book include: vector spaces and linear transformations; dimension counting and applications; representation of linear transformations by matrices; duality; determinants and their uses; rational and especially Jordan canonical form; bilinear forms; inner product spaces; normal linear transformations and the spectral theorem; and an introduction to matrix groups as Lie groups. Students in algebra, analysis and topology will all find much of interest and use to them and the careful treatment and breadth of subject matter will make this book a valuable reference for mathematicians throughout their professional lives.
(source: Nielsen Book Data)9780883853511 20160605
Science Library (Li and Ma)

### 5. Charming proofs : a journey into elegant mathematics[2010]

Book
xxiv, 295 p. : ill. ; 24 cm.
• 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.
• (source: Nielsen Book Data)9780883853481 20160603
Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs 'there is a very high degree of unexpectedness, combined with inevitability and economy'. Charming Proofs presents a collection of remarkable proofs in elementary mathematics that are exceptionally elegant, full of ingenuity, and succinct. By means of a surprising argument or a powerful visual representation, the proofs in this collection will invite readers to enjoy the beauty of mathematics, and to develop the ability to create proofs themselves. The authors consider proofs from topics such as geometry, number theory, inequalities, plane tilings, origami and polyhedra. Secondary school and university teachers can use this book to introduce their students to mathematical elegance. More than 130 exercises for the reader (with solutions) are also included.
(source: Nielsen Book Data)9780883853481 20160603
Science Library (Li and Ma)

### 6. Excursions in classical analysis : pathways to advanced problem solving and undergraduate research[2010]

Book
xiii, 301 p. : ill. ; 26 cm.
• 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 zeta(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.
• (source: Nielsen Book Data)9780883857687 20160605
Excursions in Classical Analysis introduces undergraduate students to advanced problem solving and undergraduate research in two ways. Firstly, it provides a colourful tour of classical analysis which places a wide variety of problems in their historical context. Secondly, it helps students gain an understanding of mathematical discovery and proof. In demonstrating a variety of possible solutions to the same sample exercise, the reader will come to see how the connections between apparently inapplicable areas of mathematics can be exploited in problem-solving. This book will serve as excellent preparation for participation in mathematics competitions, as a valuable resource for undergraduate mathematics reading courses and seminars and as a supplement text in a course on analysis. It can also be used in independent study, since the chapters are free-standing.
(source: Nielsen Book Data)9780883857687 20160605
Science Library (Li and Ma)

### 7. Randomness and recurrence in dynamical systems : a real analysis approach[2010]

Book
xviii, 357 p. : ill. ; 22 cm.
• 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 pigeon-hole 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. Measure-preserving 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.
• (source: Nielsen Book Data)9780883850435 20160604
Randomness and Recurrence in Dynamical Systems makes accessible, at the undergraduate or beginning graduate level, results and ideas on averaging, randomness and recurrence that traditionally require measure theory. Assuming only a background in elementary calculus and real analysis, new techniques of proof have been developed, and known proofs have been adapted, to make this possible. The book connects the material with recent research, thereby bridging the gap between undergraduate teaching and current mathematical research. The various topics are unified by the concept of an abstract dynamical system, so there are close connections with what may be termed 'Probabilistic Chaos Theory' or 'Randomness'. The work is appropriate for undergraduate courses in real analysis, dynamical systems, random and chaotic phenomena and probability. It will also be suitable for readers who are interested in mathematical ideas of randomness and recurrence, but who have no measure theory background.
(source: Nielsen Book Data)9780883850435 20160604
Science Library (Li and Ma)

### 8. Biscuits of number theory[2009]

Book
xiii, 311 p. : ill. ; 27 cm.
• 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 one-sentence 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. Number-Theoretic 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.
• (source: Nielsen Book Data)9780883853405 20160605
You are probably wondering, 'What exactly are biscuits of number theory?' In this book, the editors have selected easily digested bite-sized articles and notes which aid an understanding of number theory. This is a collection of articles chosen for being exceptionally well written and capable of being appreciated by anyone who has taken (or is taking) a first course in number theory. The list of authors is outstanding, and the chapters cover arithmetic, primes, irrationality, sums of squares and polygonal numbers, Fibonacci numbers, number theoretic functions and elliptic curves, cubes, and Fermat's last theorem. As with any anthology, you don't have to read the chapters in order, you can dive in anywhere, making this book ideal for use as a textbook supplement for a number theory course.
(source: Nielsen Book Data)9780883853405 20160605
Science Library (Li and Ma)

### 9. Lie groups : a problem-oriented introduction via matrix groups[2009]

Book
xii, 177 p. : ill. ; 26 cm.
• 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. One-parameter subgroups and the exponential map: 4.1. One-parameter 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.
• (source: Nielsen Book Data)9780883857595 20160605
This textbook is a complete introduction to Lie groups for undergraduate students. The only prerequisites are multi-variable calculus and linear algebra. The emphasis is placed on the algebraic ideas, with just enough analysis to define the tangent space and the differential and to make sense of the exponential map. This textbook works on the principle that students learn best when they are actively engaged. To this end nearly 200 problems are included in the text, ranging from the routine to the challenging level. Every chapter has a section called 'Putting the pieces together' in which all definitions and results are collected for reference and further reading is suggested.
(source: Nielsen Book Data)9780883857595 20160605
Science Library (Li and Ma)

### 10. Sphere packing, Lewis Carroll, and reversi : Martin Gardner's new mathematical diversions[2009]

Book
xiv, 282 p. : ill. ; 23 cm.
• 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 four-color map theorem-- 11. Mr. Apollinax visits New York-- 12. Nine problems-- 13. Polyominoes and fault-free rectangles-- 14. Euler's spoilers: the discovery of an Order-10 Graeco-Latin square-- 15. The ellipse-- 16. The 24 color squares and the 30 color cubes-- 17. H. S. M. Coxeter-- 18. Bridg-it and other games-- 19. Nine more problems-- 20. The calculus of finite differences.
• (source: Nielsen Book Data)9780521747011 20160528
Packing spheres, Reversi, braids, polyominoes, board games, and the puzzles of Lewis Carroll. These and other mathematical diversions return to readers with updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries. Read about Knuth's Word Ladders program and the latest developments in the digits of pi. Once again these timeless puzzles will charm readers while demonstrating principles of logic, probability, geometry, and other fields of mathematics.
(source: Nielsen Book Data)9780521747011 20160528
Science Library (Li and Ma)

### 11. Calculus film project [videorecording][2008]

Video
1 videodisc (159 min.): sd., col.; 4 3/4 in.
• 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.
Collection of films about calculus ranging from informal to detailed investigations. Film techniques used include scripted graphics to cartoons.
Science Library (Li and Ma)

### 12. Hard problems : [videorecording] : the road to the world's toughest math contest[2008]

Video
1 videodisc (82 min.) : sd., col. ; 4 3/4 in.
"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
Science Library (Li and Ma)

### 13. Proof and other dilemmas : mathematics and philosophy[2008]

Book
xxxii, 346 p. : ill. ; 27 cm.
• 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.
For the majority of the twentieth century, philosophers of mathematics focused their attention on foundational questions. However, in the last quarter of the century they began to return to basics, and two new schools of thought were created: social constructivism and structuralism. The advent of the computer also led to proofs and development of mathematics assisted by computer, and to questions concerning the role of the computer in mathematics. This book of sixteen original essays is the first to explore this range of new developments in the philosophy of mathematics, in a language accessible to mathematicians. Approximately half the essays were written by mathematicians, and consider questions that philosophers have not yet discussed. The other half, written by philosophers of mathematics, summarise the discussion in that community during the last 35 years. A connection is made in each case to issues relevant to the teaching of mathematics.
(source: Nielsen Book Data)9780883855676 20160528
Science Library (Li and Ma)

### 14. First steps for math olympians : using the American Mathematics Competitions[2006]

Book
xxi, 307 p. : ill. ; 24 cm.
• 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. Three-dimensional geometry-- 16. Functions-- 17. Logarithms-- 18. Complex numbers-- Solutions to exercises-- Epilogue-- Sources of the exercises-- Index-- About the author.
• (source: Nielsen Book Data)9780883858240 20160528
A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone preparing for the Mathematical Olympiads will find many useful ideas here, but people generally interested in logical problem solving should also find the problems and their solutions stimulating. The book can be used either for self-study or as topic-oriented material and samples of problems for practice exams. Useful reading for anyone who enjoys solving mathematical problems, and equally valuable for educators or parents who have children with mathematical interest and ability.
(source: Nielsen Book Data)9780883858240 20160528
Science Library (Li and Ma)

### 15. Mathematical miniatures[2003]

Book
xi, 223 p. : ill. ; 23 cm.
• 1. Warm-up problem set-- 2. Problems-- 3. Instead of an afterword.
• (source: Nielsen Book Data)9780883856451 20160528
Rather than simply a collection of problems, this book can be thought of as both a tool chest of mathematical techniques and an anthology of mathematical verse. The authors have grouped problems so as to illustrate and highlight a number of important techniques and have provided enlightening solutions in all cases. As well as this there are essays on topics that are not only beautiful but also useful. The essays are diverse and enlivened by fresh, non-standard ideas. This book not only teaches techniques but gives a flavour of their past, present and possible future implications. It is a collection of miniature mathematical works in the fullest sense.
(source: Nielsen Book Data)9780883856451 20160528
Science Library (Li and Ma)

### 16. Careers in mathematics [videorecording][1998]

Video
1 videodisc (26 min.) : sd., col. ; 4 3/4 in.
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 day-to-day 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.
Science Library (Li and Ma)

### 17. Library recommendations for undergraduate mathematics[1992]

Book
xi, 194 p. ; 28 cm.
Science Library (Li and Ma)

### 18. Mathematical writing[1989]

Book
115 p. ; 28 cm.
• 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. Mary-Claire 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. Mary-Claire van Leunen on callisthenics-- 29. Mary-Claire's handout on compositional exercises-- 30. Comments on student work-- 31. Mary-Claire 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.
• (source: Nielsen Book Data)9780883850633 20160528
Do you need help getting started as an individual or as a member of a group facing the need to prepare formal documents? This is an all-out attack on the problem of teaching people the art of mathematical writing. Learn how others have made use of student assistants in ways that benefit all parties. Read how feedback from students supplies early warning signals from instructors, as well as helping students clarify their thought processes. This book will give aid and encouragement to those wishing to teach a course in technical writing, or to those who wish to write themselves.
(source: Nielsen Book Data)9780883850633 20160528
Science Library (Li and Ma)

### 19. U.S.A. mathematical olympiads, 1972-1986[1988]

Book
xiii, 127 p. : ill. ; 23 cm.
Science Library (Li and Ma)

### 20. The College mathematics journal : an official publication of the Mathematical Association of America[1984 - ]

Journal/Periodical
v. : ill. ; 26 cm.
SAL3 (off-campus storage), Science Library (Li and Ma)