Woods Hole Mathematics

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Woods Hole Mathematics

Author : Nils Tongring
Publisher : World Scientific
ISBN 13 : 9812560211
Total Pages : 362 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Woods Hole Mathematics by : Nils Tongring

Download or read book Woods Hole Mathematics written by Nils Tongring and published by World Scientific. This book was released on 2004 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Sheaves and Functions Modulo p

Author : Lenny Taelman
Publisher : Cambridge University Press
ISBN 13 : 1316502597
Total Pages : 132 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Sheaves and Functions Modulo p by : Lenny Taelman

Download or read book Sheaves and Functions Modulo p written by Lenny Taelman and published by Cambridge University Press. This book was released on 2016 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.

Representations of Algebras, Geometry and Physics

Author : Alex Martsinkovsky
Publisher :
ISBN 13 : 9781470464257
Total Pages : pages
Book Rating : 4.4/5 (642 download)

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Book Synopsis Representations of Algebras, Geometry and Physics by : Alex Martsinkovsky

Download or read book Representations of Algebras, Geometry and Physics written by Alex Martsinkovsky and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Surveys in Representation Theory of Algebras

Author : Alex Martsinkovsky
Publisher : American Mathematical Soc.
ISBN 13 : 1470436795
Total Pages : 203 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Surveys in Representation Theory of Algebras by : Alex Martsinkovsky

Download or read book Surveys in Representation Theory of Algebras written by Alex Martsinkovsky and published by American Mathematical Soc.. This book was released on 2018-09-12 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Recent Developments in Representation Theory

Author : Alex Martsinkovsky
Publisher : American Mathematical Soc.
ISBN 13 : 1470419556
Total Pages : 249 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Recent Developments in Representation Theory by : Alex Martsinkovsky

Download or read book Recent Developments in Representation Theory written by Alex Martsinkovsky and published by American Mathematical Soc.. This book was released on 2016-08-26 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected expository lectures delivered at the Maurice Auslander Distinguished Lectures and International Conference, held May 1–6, 2014, at the Woods Hole Oceanographic Institute, Woods Hole, MA. Several significant developments of the last decade in representation theory of finite-dimensional algebras are related to combinatorics. Three of the five lectures in this volume deal, respectively, with the Catalan combinatorics, the combinatorics of Gelfand-Zetlin polytopes, and the combinatorics of tilting modules. The remaining papers present history and recent advances in the study of left orders in left Artinian rings and a survey on invariant theory of Artin-Schelter regular algebras.

Strengthening the Linkages Between the Sciences and the Mathematical Sciences

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309183626
Total Pages : 134 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Strengthening the Linkages Between the Sciences and the Mathematical Sciences by : National Research Council

Download or read book Strengthening the Linkages Between the Sciences and the Mathematical Sciences written by National Research Council and published by National Academies Press. This book was released on 2000-04-05 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Raoul Bott: Collected Papers

Author : Loring W. Tu
Publisher : Birkhäuser
ISBN 13 : 3319517813
Total Pages : 676 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Raoul Bott: Collected Papers by : Loring W. Tu

Download or read book Raoul Bott: Collected Papers written by Loring W. Tu and published by Birkhäuser. This book was released on 2018-03-26 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Representations of Algebras, Geometry and Physics

Author : Kiyoshi Igusa
Publisher : American Mathematical Soc.
ISBN 13 : 1470452308
Total Pages : 241 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Representations of Algebras, Geometry and Physics by : Kiyoshi Igusa

Download or read book Representations of Algebras, Geometry and Physics written by Kiyoshi Igusa and published by American Mathematical Soc.. This book was released on 2021-05-17 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Raoul Bott: Collected Papers

Author : Loring W. Tu
Publisher : Birkhäuser
ISBN 13 : 9783030095994
Total Pages : 0 pages
Book Rating : 4.0/5 (959 download)

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Book Synopsis Raoul Bott: Collected Papers by : Loring W. Tu

Download or read book Raoul Bott: Collected Papers written by Loring W. Tu and published by Birkhäuser. This book was released on 2018-12-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics & Mathematics Education: Searching for Common Ground

Author : Michael N. Fried
Publisher : Springer Science & Business Media
ISBN 13 : 9400774737
Total Pages : 385 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Mathematics & Mathematics Education: Searching for Common Ground by : Michael N. Fried

Download or read book Mathematics & Mathematics Education: Searching for Common Ground written by Michael N. Fried and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the fruit of a symposium in honor of Ted Eisenberg concerning the growing divide between the mathematics community and the mathematics education community, a divide that is clearly unhealthy for both. The work confronts this disturbing gap by considering the nature of the relationship between mathematics education and mathematics, and by examining areas of commonality as well as disagreement. It seeks to provide insight into the mutual benefit both stand to gain by building bridges based on the natural bonds between them.

Mathematics Going Forward

Author : Jean-Michel Morel
Publisher : Springer Nature
ISBN 13 : 3031122445
Total Pages : 629 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Mathematics Going Forward by : Jean-Michel Morel

Download or read book Mathematics Going Forward written by Jean-Michel Morel and published by Springer Nature. This book was released on 2023-06-14 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.

Mathematics of Quantum Computation and Quantum Technology

Author : Louis Kauffman
Publisher : CRC Press
ISBN 13 : 1584889004
Total Pages : 625 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Mathematics of Quantum Computation and Quantum Technology by : Louis Kauffman

Download or read book Mathematics of Quantum Computation and Quantum Technology written by Louis Kauffman and published by CRC Press. This book was released on 2007-09-19 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research and development in the pioneering field of quantum computing involve just about every facet of science and engineering, including the significant areas of mathematics and physics. Based on the firm understanding that mathematics and physics are equal partners in the continuing study of quantum science, Mathematics of Quantum Computation an

Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science - Volume 2: Algorithmic Measurement Theory, Fibonacci And Golden Arithmetic's And Ternary Mirror-symmetrical Arithmetic

Download Mathematics Of Harmony As A New Interdisciplinary Direction And

Author : Alexey Stakhov
Publisher : World Scientific
ISBN 13 : 9811213488
Total Pages : 331 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science - Volume 2: Algorithmic Measurement Theory, Fibonacci And Golden Arithmetic's And Ternary Mirror-symmetrical Arithmetic by : Alexey Stakhov

Download or read book Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science - Volume 2: Algorithmic Measurement Theory, Fibonacci And Golden Arithmetic's And Ternary Mirror-symmetrical Arithmetic written by Alexey Stakhov and published by World Scientific. This book was released on 2020-09-03 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume II is the second part of the 3-volume book Mathematics of Harmony as a New Interdisciplinary Direction and 'Golden' Paradigm of Modern Science. 'Mathematics of Harmony' rises in its origin to the 'harmonic ideas' of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the 'Universe Harmony,' the main conception of ancient Greek science, and implementation of this conception to modern science and education.This 3-volume book is a result of the authors' research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the 'Mathematics of Harmony,' a new interdisciplinary direction of modern science. This direction has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the generalized Binet's formulas), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational bases, Fibonacci computers, ternary mirror-symmetrical arithmetic).The books are intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.

ADEX Theory

Author : Saul-Paul Sirag
Publisher : World Scientific
ISBN 13 : 9814656518
Total Pages : 276 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis ADEX Theory by : Saul-Paul Sirag

Download or read book ADEX Theory written by Saul-Paul Sirag and published by World Scientific. This book was released on 2016-01-25 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' This book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics. Contents:IntroductionThe Octahedral GroupThe Octahedral Double GroupThe McKay CorrespondenceLie Groups and Lie AlgebrasCoxeter''s Reflection GroupsThom–Arnold Catastrophe StructuresALE Spaces and Gravitational InstantonsKnots and Links and BraidsTwistors and ALE SpacesTwo-Dimensional Conformal Field TheoriesElliptic Curves and the Monster GroupSphere Packing and Error-Correcting CodesQubits and Black HolesThe Holographic PrincipleCalabi–Yau Spaces and Mirror SymmetryHeisenberg AlgebrasSummary and OutlookBibliographyGlossaryIndex Readership: Researchers in mathematical physics. Keywords:ADE Graphs;ADE Groups;ADE Lattices;ADE Lie Algebras;ADE Singularities;ADE Catastrophes'

Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science-volume 3:the "Golden" Paradigm Of Modern Science: Prerequisite For The "Golden" Revolution In Mathematics,computer Science,and Theoretical Natural Sciences

Author : Alexey Stakhov
Publisher : World Scientific
ISBN 13 : 9811213518
Total Pages : 244 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science-volume 3:the "Golden" Paradigm Of Modern Science: Prerequisite For The "Golden" Revolution In Mathematics,computer Science,and Theoretical Natural Sciences by : Alexey Stakhov

Download or read book Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science-volume 3:the "Golden" Paradigm Of Modern Science: Prerequisite For The "Golden" Revolution In Mathematics,computer Science,and Theoretical Natural Sciences written by Alexey Stakhov and published by World Scientific. This book was released on 2020-09-03 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume III is the third part of the 3-volume book Mathematics of Harmony as a New Interdisciplinary Direction and 'Golden' Paradigm of Modern Science. 'Mathematics of Harmony' rises in its origin to the 'harmonic ideas' of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the 'Universe Harmony,' the main conception of ancient Greek science, and implementation of this conception to modern science and education.This 3-volume book is a result of the authors' research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the 'Mathematics of Harmony,' a new interdisciplinary direction of modern science. This direction has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the generalized Binet's formulas), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational bases, Fibonacci computers, ternary mirror-symmetrical arithmetic).The books are intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.

Psychology of Mathematics for Instruction

Author : L. B. Resnick
Publisher : Routledge
ISBN 13 : 1136557520
Total Pages : 273 pages
Book Rating : 4.1/5 (365 download)

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Book Synopsis Psychology of Mathematics for Instruction by : L. B. Resnick

Download or read book Psychology of Mathematics for Instruction written by L. B. Resnick and published by Routledge. This book was released on 2012-11-12 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in 1981, Psychology of Mathematics for Instruction is a valuable contribution to the field of Education.

Excellence in Mathematics, Science, and Engineering Act of 1990

Author : United States. Congress. Senate. Committee on Labor and Human Resources
Publisher :
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Excellence in Mathematics, Science, and Engineering Act of 1990 by : United States. Congress. Senate. Committee on Labor and Human Resources

Download or read book Excellence in Mathematics, Science, and Engineering Act of 1990 written by United States. Congress. Senate. Committee on Labor and Human Resources and published by . This book was released on 1990 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: