American Mathematical Society - Böcker

William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and ...

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Proofs without words are generally pictures or diagrams that help the reader see why a particular mathematical statement may be true, and how one could begin to go about proving it. While in some proofs without words an equation or two may appear ...

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The articles in this volume grew out of a 2019 workshop, held at Johns Hopkins University, that was inspired by a belief that when mathematicians take time to reflect on the social forces involved in the production of mathematics, actionable insig...

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As always, What's Happening in the Mathematical Sciences presents a selection of topics in mathematics that have attracted particular attention in recent years. This volume is dominated by an event that shook the world in 2020 and 2021, the corona...

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This set contains the Collected Works of William P. Thurston with Commentary, Volumes I-III, and The Geometry and Topology of Three-Manifolds. William Thurston's work has had a profound influence on mathematics. He connected whole mathematical sub...

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One of the greatest accomplishments in the history of cryptography occurred in 1940 when a Swedish mathematician broke the German code used for strategic military communications. This is the story of Arne Beurling's wartime achievement.

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This set includes two humorous and quirky collections of mathematical morsels by Burkard Polster (YouTube's Mathologer) and Marty Ross-Putting Two and Two Together: Selections from the Mathologer Files and A Dingo Ate My Math Book: Mathematics fro...

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Paul Erdos was an amazing and prolific mathematician whose life as a world-wandering numerical nomad was legendary. He published almost 1500 scholarly papers before his death in 1996, and he probably thought more about math problems than anyone in...

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This classic book is a text for a standard introductory course in real analysis, covering sequences and series, limits and continuity, differentiation, elementary transcendental functions, integration, infinite series and products, and trigonometr...

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This solutions manual is geared toward instructors for use as a companion volume to the book, A Modern Theory of Integration, (AMS Graduate Studies in Mathematics series, Volume 32).

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This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and s...

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Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from ...

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Nonlinear algebra provides modern mathematical tools to address challenges arising in the sciences and engineering. It is useful everywhere, where polynomials appear: in particular, data and computational sciences, statistics, physics, optimizatio...

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"This is a sample of rich Russian mathematical culture written by professional mathematicians with great experience in working with high school students..... Problems are on very simple levels, but building to more complex and advanced work... [co...

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Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties. It is based on tropical algebra, where the sum of two numbers is their minimum and the product is their ...

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The $3x 1$ problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer $x$ is odd then ""multiply by three and add one"", while if it is even then ""d...

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The collected works of A. Adrian Albert, a leading algebraist of the twentieth century. Part 1 focuses on associative algebras and Riemann matrices. Part 2, on nonassociative algebras and miscellany. Because much of Albert's work remains of vital ...

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These lectures emphasized specific areas of operations research and the mathematics used in modeling and solving the related problems. The lecturers were: Seth Bonder, Ralph L. Disney, Frederick C. Johnson, William P. Pierskalla, Robert B. Rovinsk...

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The theory of networks is a very lively one, both in terms of developments in the theory itself and of the variety of its applications. This book, based on the 1981 AMS Short Course on the Mathematics of Networks, introduces most of the basic idea...

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This book contains four essays on expository writing of books and papers at the research level and at the level of graduate texts. The authors were the four members of the AMS Committee on Expository Writing.

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The lecture notes contained in this volume were presented at the AMS Short Course on Population Biology, held August 6-7, 1983, in Albany, New York in conjunction with the summer meeting of the American Mathematical Society. These notes will acqua...

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This collection of six papers provides a valuable source of material on the real-world problem of allocating objects among competing claimants. The examples given show how mathematics, particularly the axiomatic method, can be applied to give insi...

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Offers brief treatises on several mathematical areas and a historical summary of American contributions to mathematics during the Society's first fifty years.

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In the 100 years since the founding of the AMS, the American mathematical community has grown from a small group heavily dependent on European mathematicians to a large and influential group that in many areas sets the standard for the rest of the...

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The first section of the book deals with some of the influential mathematics departments in the United States. Functioning as centers of research and training, these departments played a major role in shaping the mathematical life in this country....

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Computational complexity theory is the study of the quantitative laws that govern computing. During the last 25 years, this field has grown into a rich mathematical theory. Currently one of the most active research areas in computer science, compl...

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The present book is the third and final volume in the "A Century of Mathematics in America" collection. The theme of the second volume is continued here in articles describing the mathematics and the mathematical personalities in some of...

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Contains the lecture notes prepared for the AMS Short Course on Matrix Theory and Applications, held in Phoenix in January, 1989. Among the themes in this volume are the notion of majorization, the trend away from "basis-free" point of v...

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