Current Developments in Mathematics 1999

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Publisher :
ISBN 13 : 9781571461483
Total Pages : 132 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Current Developments in Mathematics 1999 by : David Jerison

Download or read book Current Developments in Mathematics 1999 written by David Jerison and published by . This book was released on 1995 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Current Developments in Mathematics, 1999

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Publisher : International Pressof Boston Incorporated
ISBN 13 : 9781571460431
Total Pages : 132 pages
Book Rating : 4.4/5 (64 download)

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Book Synopsis Current Developments in Mathematics, 1999 by : Barry Mazur

Download or read book Current Developments in Mathematics, 1999 written by Barry Mazur and published by International Pressof Boston Incorporated. This book was released on 1999 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Current Developments in Mathematics 2007

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ISBN 13 : 9781571461346
Total Pages : 258 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Current Developments in Mathematics 2007 by : David Jerison

Download or read book Current Developments in Mathematics 2007 written by David Jerison and published by . This book was released on 2009 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Current Developments in Mathematics (CDM) conference is a seminar, jointly hosted by Harvard University and the Massachusetts Institute of Technology, and devoted to surveying the developments in mathematics. This title features the contents of these proceedings.

What's Happening in the Mathematical Sciences

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821890431
Total Pages : 108 pages
Book Rating : 4.8/5 (94 download)

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Book Synopsis What's Happening in the Mathematical Sciences by : Barry Cipra

Download or read book What's Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.

Current Developments in Mathematical Biology

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Publisher : World Scientific
ISBN 13 : 9812706798
Total Pages : 181 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Current Developments in Mathematical Biology by : Kazem Mahdavi

Download or read book Current Developments in Mathematical Biology written by Kazem Mahdavi and published by World Scientific. This book was released on 2007 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of papers on various areas of current interest in mathematical biology, such as epidemic disease modeling, including the effects of vaccination and strain replacement; immunology, such as T-Cell dynamics and the mechanism of phagocytosis; knot theory; DNA computation; and Boolean networks.

Recent Developments of Mathematical Fluid Mechanics

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Publisher : Birkhäuser
ISBN 13 : 3034809395
Total Pages : 478 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Recent Developments of Mathematical Fluid Mechanics by : Herbert Amann

Download or read book Recent Developments of Mathematical Fluid Mechanics written by Herbert Amann and published by Birkhäuser. This book was released on 2016-03-17 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as: 1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and energy conservation5) fluid motions around the rotating axis or outside of the rotating body6) free boundary problems7) maximal regularity theorem and other abstract theorems for mathematical fluid mechanics.

An Introduction to the Langlands Program

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Publisher : Springer Science & Business Media
ISBN 13 : 0817682260
Total Pages : 283 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis An Introduction to the Langlands Program by : Joseph Bernstein

Download or read book An Introduction to the Langlands Program written by Joseph Bernstein and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Each of the twelve chapters focuses on a particular topic devoted to special cases of the program. The book is suitable for graduate students and researchers.

Advances in Theoretical and Mathematical Physics

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Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Advances in Theoretical and Mathematical Physics by :

Download or read book Advances in Theoretical and Mathematical Physics written by and published by . This book was released on 2009 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topology and Physics

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Publisher : World Scientific
ISBN 13 : 9812819118
Total Pages : 466 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Topology and Physics by : Zhenghan Wang

Download or read book Topology and Physics written by Zhenghan Wang and published by World Scientific. This book was released on 2008 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume, resulting from a conference at the Chern Institute of Mathematics dedicated to the memory of Xiao-Song Lin, presents a broad connection between topology and physics as exemplified by the relationship between low-dimensional topology and quantum field theory.The volume includes works on picture (2+1)-TQFTs and their applications to quantum computing, Berry phase and YangOCoBaxterization of the braid relation, finite type invariant of knots, categorification and Khovanov homology, GromovOCoWitten type invariants, twisted Alexander polynomials, Faddeev knots, generalized Ricci flow, CalabiOCoYau problems for CR manifolds, Milnor''s conjecture on volume of simplexes, Heegaard genera of 3-manifolds, and the (A, B)-slice problem. It also includes five unpublished papers of Xiao-Song Lin and various speeches related to the memorial conference

New Developments in Singularity Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792369967
Total Pages : 484 pages
Book Rating : 4.3/5 (699 download)

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Book Synopsis New Developments in Singularity Theory by : Dirk Siersma

Download or read book New Developments in Singularity Theory written by Dirk Siersma and published by Springer Science & Business Media. This book was released on 2001-06-30 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularities arise naturally in a huge number of different areas of mathematics and science. As a consequence, singularity theory lies at the crossroads of paths that connect many of the most important areas of applications of mathematics with some of its most abstract regions. The main goal in most problems of singularity theory is to understand the dependence of some objects of analysis, geometry, physics, or other science (functions, varieties, mappings, vector or tensor fields, differential equations, models, etc.) on parameters. The articles collected here can be grouped under three headings. (A) Singularities of real maps; (B) Singular complex variables; and (C) Singularities of homomorphic maps.

Lectures on Optimal Transport

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Publisher : Springer Nature
ISBN 13 : 3030721620
Total Pages : 250 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Lectures on Optimal Transport by : Luigi Ambrosio

Download or read book Lectures on Optimal Transport written by Luigi Ambrosio and published by Springer Nature. This book was released on 2021-07-22 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is addressed to PhD or senior undergraduate students in mathematics, with interests in analysis, calculus of variations, probability and optimal transport. It originated from the teaching experience of the first author in the Scuola Normale Superiore, where a course on optimal transport and its applications has been given many times during the last 20 years. The topics and the tools were chosen at a sufficiently general and advanced level so that the student or scholar interested in a more specific theme would gain from the book the necessary background to explore it. After a large and detailed introduction to classical theory, more specific attention is devoted to applications to geometric and functional inequalities and to partial differential equations.

Groups, Modules, and Model Theory - Surveys and Recent Developments

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Publisher : Springer
ISBN 13 : 331951718X
Total Pages : 475 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Groups, Modules, and Model Theory - Surveys and Recent Developments by : Manfred Droste

Download or read book Groups, Modules, and Model Theory - Surveys and Recent Developments written by Manfred Droste and published by Springer. This book was released on 2017-06-02 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on group theory and model theory with a particular emphasis on the interplay of the two areas. The survey papers provide an overview of the developments across group, module, and model theory while the research papers present the most recent study in those same areas. With introductory sections that make the topics easily accessible to students, the papers in this volume will appeal to beginning graduate students and experienced researchers alike. As a whole, this book offers a cross-section view of the areas in group, module, and model theory, covering topics such as DP-minimal groups, Abelian groups, countable 1-transitive trees, and module approximations. The papers in this book are the proceedings of the conference “New Pathways between Group Theory and Model Theory,” which took place February 1-4, 2016, in Mülheim an der Ruhr, Germany, in honor of the editors’ colleague Rüdiger Göbel. This publication is dedicated to Professor Göbel, who passed away in 2014. He was one of the leading experts in Abelian group theory.

Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827162
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory by : Stephen Berman

Download or read book Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory written by Stephen Berman and published by American Mathematical Soc.. This book was released on 2002 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of its many applications to mathematics and mathematical physics, the representation theory of infinite-dimensional Lie and quantized enveloping algebras comprises an important area of current research. This volume includes articles from the proceedings of an international conference, ``Infinite-Dimensional Lie Theory and Conformal Field Theory'', held at the University of Virginia. Many of the contributors to the volume are prominent researchers in the field. Thisconference provided an opportunity for mathematicians and physicists to interact in an active research area of mutual interest. The talks focused on recent developments in the representation theory of affine, quantum affine, and extended affine Lie algebras and Lie superalgebras. They also highlightedapplications to conformal field theory, integrable and disordered systems. Some of the articles are expository and accessible to a broad readership of mathematicians and physicists interested in this area; others are research articles that are appropriate for more advanced readers.

Pure and Applied Mathematics Quarterly

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Publisher :
ISBN 13 :
Total Pages : 678 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Pure and Applied Mathematics Quarterly by :

Download or read book Pure and Applied Mathematics Quarterly written by and published by . This book was released on 2009 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Einstein Equations and the Large Scale Behavior of Gravitational Fields

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764371302
Total Pages : 500 pages
Book Rating : 4.3/5 (713 download)

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Book Synopsis The Einstein Equations and the Large Scale Behavior of Gravitational Fields by : Piotr T. Chruściel

Download or read book The Einstein Equations and the Large Scale Behavior of Gravitational Fields written by Piotr T. Chruściel and published by Springer Science & Business Media. This book was released on 2004 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accompanying DVD-ROM contains the electronic proceedings of the summer school on mathematical general relativity and global properties of solutions of Einstein's equations held at Cargèse, Corsica, France, July 20-Aug. 10, 2002.

Topics in Optimal Transportation

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Publisher : American Mathematical Soc.
ISBN 13 : 082183312X
Total Pages : 402 pages
Book Rating : 4.8/5 (218 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 2003 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cedric Villani's book is a lucid and very readable documentation of the tremendous recent analytic progress in ``optimal mass transportation'' theory and of its diverse and unexpected applications in optimization, nonlinear PDE, geometry, and mathematical physics. --Lawrence C. Evans, University of California at Berkeley 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 at once an introduction to the field of optimal transportation and a survey of the research on the topic over the last 15 years. The book is intended for graduate students and researchers, and it covers both theory and applications. Readers are only assumed to be familiar with the basics of measure theory and functional analysis.

Philosophy of Physics

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Publisher : Elsevier
ISBN 13 : 0080466656
Total Pages : 1522 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Philosophy of Physics by :

Download or read book Philosophy of Physics written by and published by Elsevier. This book was released on 2006-11-26 with total page 1522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ambition of this volume is twofold: to provide a comprehensive overview of the field and to serve as an indispensable reference work for anyone who wants to work in it. For example, any philosopher who hopes to make a contribution to the topic of the classical-quantum correspondence will have to begin by consulting Klaas Landsman’s chapter. The organization of this volume, as well as the choice of topics, is based on the conviction that the important problems in the philosophy of physics arise from studying the foundations of the fundamental theories of physics. It follows that there is no sharp line to be drawn between philosophy of physics and physics itself. Some of the best work in the philosophy of physics is being done by physicists, as witnessed by the fact that several of the contributors to the volume are theoretical physicists: viz., Ellis, Emch, Harvey, Landsman, Rovelli, ‘t Hooft, the last of whom is a Nobel laureate. Key features - Definitive discussions of the philosophical implications of modern physics - Masterly expositions of the fundamental theories of modern physics - Covers all three main pillars of modern physics: relativity theory, quantum theory, and thermal physics - Covers the new sciences grown from these theories: for example, cosmology from relativity theory; and quantum information and quantum computing, from quantum theory - Contains special Chapters that address crucial topics that arise in several different theories, such as symmetry and determinism - Written by very distinguished theoretical physicists, including a Nobel Laureate, as well as by philosophers - Definitive discussions of the philosophical implications of modern physics - Masterly expositions of the fundamental theories of modern physics - Covers all three main pillars of modern physics: relativity theory, quantum theory, and thermal physics - Covers the new sciences that have grown from these theories: for example, cosmology from relativity theory; and quantum information and quantum computing, from quantum theory - Contains special Chapters that address crucial topics that arise in several different theories, such as symmetry and determinism - Written by very distinguished theoretical physicists, including a Nobel Laureate, as well as by philosophers