Open Problems and Surveys of Contemporary Mathematics

Open Problems and Surveys of Contemporary Mathematics PDF Author: Lizhen Ji
Publisher:
ISBN: 9781571462787
Category : Geometry, Differential
Languages : en
Pages : 477

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Book Description

Open Problems and Surveys of Contemporary Mathematics

Open Problems and Surveys of Contemporary Mathematics PDF Author: Lizhen Ji
Publisher:
ISBN: 9781571462787
Category : Geometry, Differential
Languages : en
Pages : 477

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Book Description


Surveys in Contemporary Mathematics

Surveys in Contemporary Mathematics PDF Author: Nicholas Young
Publisher: Cambridge University Press
ISBN: 0521705649
Category : Education
Languages : en
Pages : 370

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Book Description
A collection of articles showcasing the achievements of young Russian researchers in combinatorial and algebraic geometry and topology.

Surveys on Discrete and Computational Geometry

Surveys on Discrete and Computational Geometry PDF Author: Jacob E. Goodman
Publisher: American Mathematical Soc.
ISBN: 0821842390
Category : Mathematics
Languages : en
Pages : 568

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Book Description
This volume contains nineteen survey papers describing the state of current research in discrete and computational geometry as well as a set of open problems presented at the 2006 AMS-IMS-SIAM Summer Research Conference Discrete and Computational Geometry--Twenty Years Later, held in Snowbird, Utah, in June 2006. Topics surveyed include metric graph theory, lattice polytopes, the combinatorial complexity of unions of geometric objects, line and pseudoline arrangements, algorithmic semialgebraic geometry, persistent homology, unfolding polyhedra, pseudo-triangulations, nonlinear computational geometry, $k$-sets, and the computational complexity of convex bodies.

Surveys in Modern Mathematics

Surveys in Modern Mathematics PDF Author: Victor Prasolov
Publisher: Cambridge University Press
ISBN: 9781139441124
Category : Mathematics
Languages : en
Pages : 364

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Book Description
This collection of articles from the Independent University of Moscow is derived from the Globus seminars held there. They are given by world authorities, from Russia and elsewhere, in various areas of mathematics and are designed to introduce graduate students to some of the most dynamic areas of mathematical research. The seminars aim to be informal, wide-ranging and forward-looking, getting across the ideas and concepts rather than formal proofs, and this carries over to the articles here. Topics covered range from computational complexity, algebraic geometry, dynamics, through to number theory and quantum groups. The volume as a whole is a fascinating and exciting overview of contemporary mathematics.

Surveys in Modern Mathematics

Surveys in Modern Mathematics PDF Author: Viktor Vasilʹevich Prasolov
Publisher: Cambridge University Press
ISBN: 0521547938
Category : Mathematics
Languages : en
Pages : 360

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Book Description
Topics covered range from computational complexity, algebraic geometry, dynamics, through to number theory and quantum groups.

The Problems of Mathematics

The Problems of Mathematics PDF Author: Ian Stewart
Publisher: Oxford University Press, USA
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 276

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Book Description
We are living in the Golden Age of mathematics, with more research being done than ever before. Yet many people view mathematics as a static, completed subject. This book for general readers aims to open the door to the rapid modern growth of mathematics and its power and beauty. It surveys many areas of current research in non-technical terms, describing what the problems are, where they come from, how they get solved, what mathematicians are like, what you can do with the answers when you get them, and how solving them or failing to solve them changes peoples' views of mathematics and the way it is advancing. Topics include Fermat's Last Theorem, the Riemann hypothesis, the Poincare Conjecture, prime numbers, non-Euclidean geometry, infinity, the four-color problem, probability, catastrophe theory, chaos, fractals, algorithms, and undecidable propositions. A final chapter discusses the relations between mathematics and its applications. Each topic is developed within a historical framework, and a number of recent breakthroughs are presented for the first time in layman's terms.

Derived Algebraic Geometry

Derived Algebraic Geometry PDF Author: Renaud Gauthier
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311133421X
Category : Mathematics
Languages : en
Pages : 489

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Book Description


Open Problems in Mathematics

Open Problems in Mathematics PDF Author: John Forbes Nash, Jr.
Publisher: Springer
ISBN: 3319321625
Category : Mathematics
Languages : en
Pages : 547

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Book Description
The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics. Emphasis is also given to problems in interdisciplinary research for which mathematics plays a key role. This volume comprises highly selected contributions by some of the most eminent mathematicians in the international mathematical community on longstanding problems in very active domains of mathematical research. A joint preface by the two volume editors is followed by a personal farewell to John F. Nash, Jr. written by Michael Th. Rassias. An introduction by Mikhail Gromov highlights some of Nash’s legendary mathematical achievements. The treatment in this book includes open problems in the following fields: algebraic geometry, number theory, analysis, discrete mathematics, PDEs, differential geometry, topology, K-theory, game theory, fluid mechanics, dynamical systems and ergodic theory, cryptography, theoretical computer science, and more. Extensive discussions surrounding the progress made for each problem are designed to reach a wide community of readers, from graduate students and established research mathematicians to physicists, computer scientists, economists, and research scientists who are looking to develop essential and modern new methods and theories to solve a variety of open problems.

Rationality Problems in Algebraic Geometry

Rationality Problems in Algebraic Geometry PDF Author: Arnaud Beauville
Publisher: Springer
ISBN: 3319462091
Category : Mathematics
Languages : en
Pages : 176

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Book Description
Providing an overview of the state of the art on rationality questions in algebraic geometry, this volume gives an update on the most recent developments. It offers a comprehensive introduction to this fascinating topic, and will certainly become an essential reference for anybody working in the field. Rationality problems are of fundamental importance both in algebra and algebraic geometry. Historically, rationality problems motivated significant developments in the theory of abelian integrals, Riemann surfaces and the Abel–Jacobi map, among other areas, and they have strong links with modern notions such as moduli spaces, Hodge theory, algebraic cycles and derived categories. This text is aimed at researchers and graduate students in algebraic geometry.

The Geometry of Riemann Surfaces and Abelian Varieties

The Geometry of Riemann Surfaces and Abelian Varieties PDF Author: José María Muñoz Porras
Publisher: American Mathematical Soc.
ISBN: 0821838555
Category : Mathematics
Languages : en
Pages : 250

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Book Description
Most of the papers in this book deal with the theory of Riemann surfaces (moduli problems, automorphisms, etc.), abelian varieties, theta functions, and modular forms. Some of the papers contain surveys on the recent results in the topics of current interest to mathematicians, whereas others contain new research results.