[PDF] Woods Hole Mathematics eBook

Author : Nils Tongring
Publisher : World Scientific
Page : 362 pages
File Size : 45,57 MB
Release : 2004
Category : Science
ISBN : 9812560211

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The central theme of this volume is the contemporary mathematics of geometry and physics, but the work also discusses the problem of the secondary structure of proteins, and an overview of arc complexes with proposed applications to macromolecular folding is given.?Woods Hole has played such a vital role in both my mathematical and personal life that it is a great pleasure to see the mathematical tradition of the 1964 meeting resurrected forty years later and, as this volume shows, resurrected with new vigor and hopefully on a regular basis. I therefore consider it a signal honor to have been asked to introduce this volume with a few reminiscences of that meeting forty years ago.? Introduction by R Bott (Wolf Prize Winner, 2000).

Author : Lenny Taelman
Publisher : Cambridge University Press
Page : 132 pages
File Size : 23,94 MB
Release : 2016
Category : Mathematics
ISBN : 1316502597

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Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.

Author : Kiyoshi Igusa
Publisher : American Mathematical Soc.
Page : 241 pages
File Size : 42,76 MB
Release : 2021-05-17
Category : Education
ISBN : 1470452308

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This volume contains selected expository lectures delivered at the 2018 Maurice Auslander Distinguished Lectures and International Conference, held April 25–30, 2018, at the Woods Hole Oceanographic Institute, Woods Hole, MA. Reflecting recent developments in modern representation theory of algebras, the selected topics include an introduction to a new class of quiver algebras on surfaces, called “geodesic ghor algebras”, a detailed presentation of Feynman categories from a representation-theoretic viewpoint, connections between representations of quivers and the structure theory of Coxeter groups, powerful new applications of approximable triangulated categories, new results on the heart of a t t-structure, and an introduction to methods of constructive category theory.

Author : Alex Martsinkovsky
Publisher : American Mathematical Soc.
Page : 216 pages
File Size : 36,81 MB
Release : 2018-09-12
Category : Mathematics
ISBN : 1470436795

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This volume contains selected expository lectures delivered at the annual Maurice Auslander Distinguished Lectures and International Conference over the last several years. Reflecting the diverse landscape of modern representation theory of algebras, the selected articles include: a quick introduction to silting modules; a survey on the first decade of co-t-structures in triangulated categories; a functorial approach to the notion of module; a representation-theoretic approach to recollements in abelian categories; new examples of applications of relative homological algebra; connections between Coxeter groups and quiver representations; and recent progress on limits of approximation theory.

Author : Loring W. Tu
Publisher : Birkhäuser
Page : 0 pages
File Size : 25,21 MB
Release : 2018-04-10
Category : Mathematics
ISBN : 9783319517797

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This book is the fifth and final volume of Raoul Bott’s Collected Papers. It collects all of Bott’s published articles since 1991 as well as some articles published earlier but missing in the earlier volumes. The volume also contains interviews with Raoul Bott, several of his previously unpublished speeches, commentaries by his collaborators such as Alberto Cattaneo and Jonathan Weitsman on their joint articles with Bott, Michael Atiyah’s obituary of Raoul Bott, Loring Tu’s authorized biography of Raoul Bott, and reminiscences of Raoul Bott by his friends, students, colleagues, and collaborators, among them Stephen Smale, David Mumford, Arthur Jaffe, Shing-Tung Yau, and Loring Tu. The mathematical articles, many inspired by physics, encompass stable vector bundles, knot and manifold invariants, equivariant cohomology, and loop spaces. The nonmathematical contributions give a sense of Bott’s approach to mathematics, style, personality, zest for life, and humanity. In one of the articles, from the vantage point of his later years, Raoul Bott gives a tour-de-force historical account of one of his greatest achievements, the Bott periodicity theorem. A large number of the articles originally appeared in hard-to-find conference proceedings or journals. This volume makes them all easily accessible. It also features a collection of photographs giving a panoramic view of Raoul Bott's life and his interaction with other mathematicians.

Author : Ronald W. Evans
Publisher : Springer
Page : 462 pages
File Size : 17,22 MB
Release : 2010-12-14
Category : Education
ISBN : 0230116671

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The Hope of American School Reform tells the story of the origins of the reform in science and math education. The book is drawn, in part, on new research from previously untapped archival sources. The aim of this work is to contribute to our understanding of a major effort to reform school curricula.

Author : L. B. Resnick
Publisher : Routledge
Page : 274 pages
File Size : 16,59 MB
Release : 2012-11-12
Category : Education
ISBN : 1136557598

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Published in 1981, Psychology of Mathematics for Instruction is a valuable contribution to the field of Education.

Author : Loring W. Tu
Publisher : Birkhäuser
Page : 664 pages
File Size : 38,51 MB
Release : 2018-03-26
Category : Mathematics
ISBN : 3319517813

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This book is the fifth and final volume of Raoul Bott’s Collected Papers. It collects all of Bott’s published articles since 1991 as well as some articles published earlier but missing in the earlier volumes. The volume also contains interviews with Raoul Bott, several of his previously unpublished speeches, commentaries by his collaborators such as Alberto Cattaneo and Jonathan Weitsman on their joint articles with Bott, Michael Atiyah’s obituary of Raoul Bott, Loring Tu’s authorized biography of Raoul Bott, and reminiscences of Raoul Bott by his friends, students, colleagues, and collaborators, among them Stephen Smale, David Mumford, Arthur Jaffe, Shing-Tung Yau, and Loring Tu. The mathematical articles, many inspired by physics, encompass stable vector bundles, knot and manifold invariants, equivariant cohomology, and loop spaces. The nonmathematical contributions give a sense of Bott’s approach to mathematics, style, personality, zest for life, and humanity. In one of the articles, from the vantage point of his later years, Raoul Bott gives a tour-de-force historical account of one of his greatest achievements, the Bott periodicity theorem. A large number of the articles originally appeared in hard-to-find conference proceedings or journals. This volume makes them all easily accessible. It also features a collection of photographs giving a panoramic view of Raoul Bott's life and his interaction with other mathematicians.

Author : National Research Council
Publisher : National Academies Press
Page : 134 pages
File Size : 24,65 MB
Release : 2000-05-05
Category : Mathematics
ISBN : 0309069475

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Over three hundred years ago, Galileo is reported to have said, "The laws of nature are written in the language of mathematics." Often mathematics and science go hand in hand, with one helping develop and improve the other. Discoveries in science, for example, open up new advances in statistics, computer science, operations research, and pure and applied mathematics which in turn enabled new practical technologies and advanced entirely new frontiers of science. Despite the interdependency that exists between these two disciplines, cooperation and collaboration between mathematical scientists and scientists have only occurred by chance. To encourage new collaboration between the mathematical sciences and other fields and to sustain present collaboration, the National Research Council (NRC) formed a committee representing a broad cross-section of scientists from academia, federal government laboratories, and industry. The goal of the committee was to examine the mechanisms for strengthening interdisciplinary research between mathematical sciences and the sciences, with a strong focus on suggesting the most effective mechanisms of collaboration. Strengthening the Linkages Between the Sciences and the Mathematical Sciences provides the findings and recommendations of the committee as well as case studies of cross-discipline collaboration, the workshop agenda, and federal agencies that provide funding for such collaboration.

Author : Scott A. Wolpert
Publisher : American Mathematical Soc.
Page : 130 pages
File Size : 17,6 MB
Release : 2010
Category : Mathematics
ISBN : 0821849867

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Provides a generally self-contained course for graduate students and postgraduates on deformations of hyperbolic surfaces and the geometry of the Weil-Petersson metric. It also offers an update for researchers; material not otherwise found in a single reference is included; and aunified approach is provided for an array of results.