Notices Of The American Mathematical Society

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A Century of Advancing Mathematics

Author : Paul Zorn
Publisher : The Mathematical Association of America
ISBN 13 : 0883855887
Total Pages : 436 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis A Century of Advancing Mathematics by : Paul Zorn

Download or read book A Century of Advancing Mathematics written by Paul Zorn and published by The Mathematical Association of America. This book was released on 2015-08-23 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: The MAA was founded in 1915 to serve as a home for The American Mathematical Monthly. The mission of the Association-to advance mathematics, especially at the collegiate level-has, however, always been larger than merely publishing world-class mathematical exposition. MAA members have explored more than just mathematics; we have, as this volume tries to make evident, investigated mathematical connections to pedagogy, history, the arts, technology, literature, every field of intellectual endeavor. Essays, all commissioned for this volume, include exposition by Bob Devaney, Robin Wilson, and Frank Morgan; history from Karen Parshall, Della Dumbaugh, and Bill Dunham; pedagogical discussion from Paul Zorn, Joe Gallian, and Michael Starbird, and cultural commentary from Bonnie Gold, Jon Borwein, and Steve Abbott. This volume contains 35 essays by all-star writers and expositors writing to celebrate an extraordinary century for mathematics-more mathematics has been created and published since 1915 than in all of previous recorded history. We've solved age-old mysteries, created entire new fields of study, and changed our conception of what mathematics is. Many of those stories are told in this volume as the contributors paint a portrait of the broad cultural sweep of mathematics during the MAA's first century. Mathematics is the most thrilling, the most human, area of intellectual inquiry; you will find in this volume compelling proof of that claim.

A Mathematician's Lament

Author : Paul Lockhart
Publisher : Bellevue Literary Press
ISBN 13 : 1934137332
Total Pages : 85 pages
Book Rating : 4.9/5 (341 download)

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Book Synopsis A Mathematician's Lament by : Paul Lockhart

Download or read book A Mathematician's Lament written by Paul Lockhart and published by Bellevue Literary Press. This book was released on 2009-04-01 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: “One of the best critiques of current K-12 mathematics education I have ever seen, written by a first-class research mathematician who elected to devote his teaching career to K-12 education.” —Keith Devlin, NPR’s “Math Guy” A brilliant research mathematician reveals math to be a creative art form on par with painting, poetry, and sculpture, and rejects the standard anxiety-producing teaching methods used in most schools today. Witty and accessible, Paul Lockhart’s controversial approach will provoke spirited debate among educators and parents alike, altering the way we think about math forever. Paul Lockhart is the author of Arithmetic, Measurement, and A Mathematician’s Lament. He has taught mathematics at Brown University, University of California, Santa Cruz, and to K-12 level students at St. Ann’s School in Brooklyn, New York.

An Invitation to Real Analysis

Author : Luis F. Moreno
Publisher : The Mathematical Association of America
ISBN 13 : 1939512050
Total Pages : 681 pages
Book Rating : 4.9/5 (395 download)

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Book Synopsis An Invitation to Real Analysis by : Luis F. Moreno

Download or read book An Invitation to Real Analysis written by Luis F. Moreno and published by The Mathematical Association of America. This book was released on 2015-05-17 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Invitation to Real Analysis is written both as a stepping stone to higher calculus and analysis courses, and as foundation for deeper reasoning in applied mathematics. This book also provides a broader foundation in real analysis than is typical for future teachers of secondary mathematics. In connection with this, within the chapters, students are pointed to numerous articles from The College Mathematics Journal and The American Mathematical Monthly. These articles are inviting in their level of exposition and their wide-ranging content. Axioms are presented with an emphasis on the distinguishing characteristics that new ones bring, culminating with the axioms that define the reals. Set theory is another theme found in this book, beginning with what students are familiar with from basic calculus. This theme runs underneath the rigorous development of functions, sequences, and series, and then ends with a chapter on transfinite cardinal numbers and with chapters on basic point-set topology. Differentiation and integration are developed with the standard level of rigor, but always with the goal of forming a firm foundation for the student who desires to pursue deeper study. A historical theme interweaves throughout the book, with many quotes and accounts of interest to all readers. Over 600 exercises and dozens of figures help the learning process. Several topics (continued fractions, for example), are included in the appendices as enrichment material. An annotated bibliography is included.

100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection

Author : Stephan Ramon Garcia
Publisher : American Mathematical Soc.
ISBN 13 : 1470436523
Total Pages : 597 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis 100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection by : Stephan Ramon Garcia

Download or read book 100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection written by Stephan Ramon Garcia and published by American Mathematical Soc.. This book was released on 2019-06-13 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outgrowth of a collection of 100 problems chosen to celebrate the 100th anniversary of the undergraduate math honor society Pi Mu Epsilon. Each chapter describes a problem or event, the progress made, and connections to entries from other years or other parts of mathematics. In places, some knowledge of analysis or algebra, number theory or probability will be helpful. Put together, these problems will be appealing and accessible to energetic and enthusiastic math majors and aficionados of all stripes. Stephan Ramon Garcia is WM Keck Distinguished Service Professor and professor of mathematics at Pomona College. He is the author of four books and over eighty research articles in operator theory, complex analysis, matrix analysis, number theory, discrete geometry, and other fields. He has coauthored dozens of articles with students, including one that appeared in The Best Writing on Mathematics: 2015. He is on the editorial boards of Notices of the AMS, Proceedings of the AMS, American Mathematical Monthly, Involve, and Annals of Functional Analysis. He received four NSF research grants as principal investigator and five teaching awards from three different institutions. He is a fellow of the American Mathematical Society and was the inaugural recipient of the Society's Dolciani Prize for Excellence in Research. Steven J. Miller is professor of mathematics at Williams College and a visiting assistant professor at Carnegie Mellon University. He has published five books and over one hundred research papers, most with students, in accounting, computer science, economics, geophysics, marketing, mathematics, operations research, physics, sabermetrics, and statistics. He has served on numerous editorial boards, including the Journal of Number Theory, Notices of the AMS, and the Pi Mu Epsilon Journal. He is active in enrichment and supplemental curricular initiatives for elementary and secondary mathematics, from the Teachers as Scholars Program and VCTAL (Value of Computational Thinking Across Grade Levels), to numerous math camps (the Eureka Program, HCSSiM, the Mathematics League International Summer Program, PROMYS, and the Ross Program). He is a fellow of the American Mathematical Society, an at-large senator for Phi Beta Kappa, and a member of the Mount Greylock Regional School Committee, where he sees firsthand the challenges of applying mathematics.

Bourbaki

Author : Maurice Mashaal
Publisher : American Mathematical Soc.
ISBN 13 : 9780821839676
Total Pages : 190 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Bourbaki by : Maurice Mashaal

Download or read book Bourbaki written by Maurice Mashaal and published by American Mathematical Soc.. This book was released on 2006 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The name Bourbaki is known to every mathematician. This book presents accounts of the origins of Bourbaki, their meetings, their seminars, and the members themselves. It also discusses the lasting influence that Bourbaki has had on mathematics, through both the Elements and the Seminaires.

Varieties of Integration

Author : C. Ray Rosentrater
Publisher : American Mathematical Soc.
ISBN 13 : 1614442177
Total Pages : 343 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis Varieties of Integration by : C. Ray Rosentrater

Download or read book Varieties of Integration written by C. Ray Rosentrater and published by American Mathematical Soc.. This book was released on 2015-12-31 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historical introduction -- The Riemann integral -- The Darboux integral -- A functional zoo -- Another approach : measure theory -- The Lebesgue integral -- The Gauge integral -- Stieltjes-type integrals and extensions -- A look back -- Afterword : L2 spaces and Fourier series

John von Neumann: Selected Letters

Author : John Von Neumann
Publisher : American Mathematical Soc.
ISBN 13 : 0821837761
Total Pages : 329 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis John von Neumann: Selected Letters by : John Von Neumann

Download or read book John von Neumann: Selected Letters written by John Von Neumann and published by American Mathematical Soc.. This book was released on 2005 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: John von Neumann was perhaps the most influential mathematician of the twentieth century. Not only did he contribute to almost all branches of mathematics, he created new fields and was a pioneering influence in the development of computer science. During and after World War II, he was a much sought-after technical advisor. He served as a member of the Scientific Advisory Committee at the Ballistic Research Laboratories, the Navy Bureau of Ordinance, and the Armed Forces Special Weapons Project. He was a consultant to the Los Alamos Scientific Laboratory and was appointed by U.S. President Dwight D. Eisenhower to the Atomic Energy Commission. He received the Albert Einstein Commemorative Award, the Enrico Fermi Award, and the Medal of Freedom. This collection of about 150 of von Neumann's letters to colleagues, friends, government officials, and others illustrates both his brilliance and his strong sense of responsibility. It is the first substantial collection of his letters, giving a rare inside glimpse of his thinking on mathematics, physics, computer science, science management, education, consulting, politics, and war. With an introductory chapter describing the many aspects of von Neumann's scientific, political, and social activities, this book makes great reading. Readers of quite diverse backgrounds will be fascinated by this first-hand look at one of the towering figures of twentieth century science. Also of interest and available from the AMS is John von Neumann: The Scientific Genius Who Pioneered the Modern Computer, Game Theory, Nuclear Deterrence, and Much More. Information for our distributors: Copublished with the London Mathematical Society beginning with volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.

The Mathematics Lover's Companion

Author : Edward R. Scheinerman
Publisher : Yale University Press
ISBN 13 : 0300223005
Total Pages : 295 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis The Mathematics Lover's Companion by : Edward R. Scheinerman

Download or read book The Mathematics Lover's Companion written by Edward R. Scheinerman and published by Yale University Press. This book was released on 2017-01-01 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twenty-three mathematical masterpieces for exploration and enlightenment How can a shape have more than one dimension but fewer than two? What is the best way to elect public officials when more than two candidates are vying for the office? Is it possible for a highly accurate medical test to give mostly incorrect results? Can you tile your floor with regular pentagons? How can you use only the first digit of sales numbers to determine if your accountant is lying? Can mathematics give insights into free will? Edward Scheinerman, an accomplished mathematician and enthusiastic educator, answers all these questions and more in this book, a collection of mathematical masterworks. In bite-sized chapters that require only high school algebra, he invites readers to try their hands at solving mathematical puzzles and provides an engaging and friendly tour of numbers, shapes, and uncertainty. The result is an unforgettable introduction to the fundamentals and pleasures of thinking mathematically.

Surfaces with Constant Mean Curvature

Author : Katsuei Kenmotsu
Publisher : American Mathematical Soc.
ISBN 13 : 9780821834794
Total Pages : 156 pages
Book Rating : 4.8/5 (347 download)

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Book Synopsis Surfaces with Constant Mean Curvature by : Katsuei Kenmotsu

Download or read book Surfaces with Constant Mean Curvature written by Katsuei Kenmotsu and published by American Mathematical Soc.. This book was released on 2003 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the three-dimensional space. A surface whose mean curvature is zero at each point is a minimal surface, and it is known that such surfaces are models for soap film. There is a rich and well-known theory of minimal surfaces. A surface whose mean curvature is constant but nonzero is obtained when we try to minimize the area of a closed surface without changing the volume it encloses. An easy example of a surface of constant mean curvature is the sphere. A nontrivial example is provided by the constant curvature torus, whose discovery in 1984 gave a powerful incentive for studying such surfaces. Later, many examples of constant mean curvature surfaces were discovered using various methods of analysis, differential geometry, and differential equations. It is now becoming clear that there is a rich theory of surfaces of constant mean curvature. In this book, the author presents numerous examples of constant mean curvature surfaces and techniques for studying them. Many finely rendered figures illustrate the results and allow the reader to visualize and better understand these beautiful objects. The book is suitable for advanced undergraduates, graduate students and research mathematicians interested in analysis and differential geometry.

Topics in Optimal Transportation

Author : Cédric Villani
Publisher : American Mathematical Soc.
ISBN 13 : 1470467267
Total Pages : 370 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topics in Optimal Transportation by : Cédric Villani

Download or read book Topics in Optimal Transportation written by Cédric Villani and published by American Mathematical Soc.. This book was released on 2021-08-25 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive introduction to the theory of mass transportation with its many—and sometimes unexpected—applications. In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. In 1781, Gaspard Monge defined the problem of “optimal transportation” (or the transferring of mass with the least possible amount of work), with applications to engineering in mind. In 1942, Leonid Kantorovich applied the newborn machinery of linear programming to Monge's problem, with applications to economics in mind. In 1987, Yann Brenier used optimal transportation to prove a new projection theorem on the set of measure preserving maps, with applications to fluid mechanics in mind. Each of these contributions marked the beginning of a whole mathematical theory, with many unexpected ramifications. Nowadays, the Monge-Kantorovich problem is used and studied by researchers from extremely diverse horizons, including probability theory, functional analysis, isoperimetry, partial differential equations, and even meteorology. Originating from a graduate course, the present volume is intended for graduate students and researchers, covering both theory and applications. Readers are only assumed to be familiar with the basics of measure theory and functional analysis.

Ricci Flow and the Sphere Theorem

Author : Simon Brendle
Publisher : American Mathematical Soc.
ISBN 13 : 0821849387
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Ricci Flow and the Sphere Theorem by : Simon Brendle

Download or read book Ricci Flow and the Sphere Theorem written by Simon Brendle and published by American Mathematical Soc.. This book was released on 2010 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with the Ricci flow, and the convergence theory for the Ricci flow. This title focuses on preserved curvature conditions, such as positive isotropic curvature. It is suitable for graduate students and researchers.

Living Proof

Author : Allison K. Henrich
Publisher :
ISBN 13 : 9781470452810
Total Pages : 136 pages
Book Rating : 4.4/5 (528 download)

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Book Synopsis Living Proof by : Allison K. Henrich

Download or read book Living Proof written by Allison K. Henrich and published by . This book was released on 2019 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wow! This is a powerful book that addresses a long-standing elephant in the mathematics room. Many people learning math ask ``Why is math so hard for me while everyone else understands it?'' and ``Am I good enough to succeed in math?'' In answering these questions the book shares personal stories from many now-accomplished mathematicians affirming that ``You are not alone; math is hard for everyone'' and ``Yes; you are good enough.'' Along the way the book addresses other issues such as biases and prejudices that mathematicians encounter, and it provides inspiration and emotional support for mathematicians ranging from the experienced professor to the struggling mathematics student. --Michael Dorff, MAA President This book is a remarkable collection of personal reflections on what it means to be, and to become, a mathematician. Each story reveals a unique and refreshing understanding of the barriers erected by our cultural focus on ``math is hard.'' Indeed, mathematics is hard, and so are many other things--as Stephen Kennedy points out in his cogent introduction. This collection of essays offers inspiration to students of mathematics and to mathematicians at every career stage. --Jill Pipher, AMS President This book is published in cooperation with the Mathematical Association of America.

Transactions of the Moscow Mathematical Society

Author : American Mathematical Society
Publisher : American Mathematical Soc.
ISBN 13 : 9780821816165
Total Pages : 382 pages
Book Rating : 4.8/5 (161 download)

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Book Synopsis Transactions of the Moscow Mathematical Society by : American Mathematical Society

Download or read book Transactions of the Moscow Mathematical Society written by American Mathematical Society and published by American Mathematical Soc.. This book was released on 1968 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on differential equations and differential operators. This title includes such topics as convolution equations of variable order, hypoelliptic pseudodifferential operators, differential operators that decompose into wave factors, and nonlinear parabolic equations.

Coloring Book of Complex Function Representations

Author : Julie Barnes
Publisher : MAA Press
ISBN 13 : 9780883855911
Total Pages : 40 pages
Book Rating : 4.8/5 (559 download)

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Book Synopsis Coloring Book of Complex Function Representations by : Julie Barnes

Download or read book Coloring Book of Complex Function Representations written by Julie Barnes and published by MAA Press. This book was released on 2017-12-31 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Have you ever seen a mathematical object that was so intriguing that anyone, regardless of mathematical background, could appreciate its aesthetic beauty? If so, did you stop to color it? Now is your chance. Explore the beauty of mathematics in this collection if intricate pictures related to complex-valued functions. Any of these images could pass for designs found in some of the many coloring books for adults seen in stores today and are displayed here for you to color. While looking at the coloring pages, you can read about the author's quest to find interesting images. Their tale includes expeditions on the complex plane, work with families of complex functions, visits to Julia sets, unexpected results from a typo, random explorations, and a final send-off from a well-known cartoon character. Grab your colored pencils and enjoy coloring these functions. There are no incorrect ways to color, and consequently, there are no answers in the back of the book!

A Certain Ambiguity

Author : Gaurav Suri
Publisher : Princeton University Press
ISBN 13 : 1400834775
Total Pages : 296 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis A Certain Ambiguity by : Gaurav Suri

Download or read book A Certain Ambiguity written by Gaurav Suri and published by Princeton University Press. This book was released on 2010-07-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: While taking a class on infinity at Stanford in the late 1980s, Ravi Kapoor discovers that he is confronting the same mathematical and philosophical dilemmas that his mathematician grandfather had faced many decades earlier--and that had landed him in jail. Charged under an obscure blasphemy law in a small New Jersey town in 1919, Vijay Sahni is challenged by a skeptical judge to defend his belief that the certainty of mathematics can be extended to all human knowledge--including religion. Together, the two men discover the power--and the fallibility--of what has long been considered the pinnacle of human certainty, Euclidean geometry. As grandfather and grandson struggle with the question of whether there can ever be absolute certainty in mathematics or life, they are forced to reconsider their fundamental beliefs and choices. Their stories hinge on their explorations of parallel developments in the study of geometry and infinity--and the mathematics throughout is as rigorous and fascinating as the narrative and characters are compelling and complex. Moving and enlightening, A Certain Ambiguity is a story about what it means to face the extent--and the limits--of human knowledge.

Opera de Cribro

Author : John B. Friedlander
Publisher : American Mathematical Soc.
ISBN 13 : 0821849700
Total Pages : 554 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Opera de Cribro by : John B. Friedlander

Download or read book Opera de Cribro written by John B. Friedlander and published by American Mathematical Soc.. This book was released on 2010-06-22 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a true masterpiece that will prove to be indispensable to the serious researcher for many years to come. --Enrico Bombieri, Institute for Advanced Study This is a truly comprehensive account of sieves and their applications, by two of the world's greatest authorities. Beginners will find a thorough introduction to the subject, with plenty of helpful motivation. The more practised reader will appreciate the authors' insights into some of the more mysterious parts of the theory, as well as the wealth of new examples. --Roger Heath-Brown, University of Oxford, Fellow of Royal Society This is a comprehensive and up-to-date treatment of sieve methods. The theory of the sieve is developed thoroughly with complete and accessible proofs of the basic theorems. Included is a wide range of applications, both to traditional questions such as those concerning primes, and to areas previously unexplored by sieve methods, such as elliptic curves, points on cubic surfaces and quantum ergodicity. New proofs are given also of some of the central theorems of analytic number theory; these proofs emphasize and take advantage of the applicability of sieve ideas. The book contains numerous comments which provide the reader with insight into the workings of the subject, both as to what the sieve can do and what it cannot do. The authors reveal recent developements by which the parity barrier can be breached, exposing golden nuggets of the subject, previously inaccessible. The variety in the topics covered and in the levels of difficulty encountered makes this a work of value to novices and experts alike, both as an educational tool and a basic reference.

Function Spaces and Potential Theory

Author : David R. Adams
Publisher : Springer Science & Business Media
ISBN 13 : 3662032821
Total Pages : 372 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Function Spaces and Potential Theory by : David R. Adams

Download or read book Function Spaces and Potential Theory written by David R. Adams and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: "..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society