Algebraic Geometry and Number Theory
Algebraic Geometry and Number Theory

Author: victor ginzburg

Publisher: Springer Science & Business Media

Published: 2007-12-31

Total Pages: 656

ISBN-13: 0817645322

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This book represents a collection of invited papers by outstanding mathematicians in algebra, algebraic geometry, and number theory dedicated to Vladimir Drinfeld. Original research articles reflect the range of Drinfeld's work, and his profound contributions to the Langlands program, quantum groups, and mathematical physics are paid particular attention. These ten original articles by prominent mathematicians, dedicated to Drinfeld on the occasion of his 50th birthday, broadly reflect the range of Drinfeld's own interests in algebra, algebraic geometry, and number theory.

The Unity of Mathematics
The Unity of Mathematics

Author: Pavel Etingof

Publisher: Springer Science & Business Media

Published: 2007-05-31

Total Pages: 646

ISBN-13: 0817644679

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Tribute to the vision and legacy of Israel Moiseevich Gel'fand Written by leading mathematicians, these invited papers reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory Topics include conformal field theory, K-theory, noncommutative geometry, gauge theory, representations of infinite-dimensional Lie algebras, and various aspects of the Langlands program

Basic Real Analysis
Basic Real Analysis

Author: Anthony W. Knapp

Publisher: Springer Science & Business Media

Published: 2007-10-04

Total Pages: 671

ISBN-13: 0817644415

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Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established A comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics Included throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.

Advanced Real Analysis
Advanced Real Analysis

Author: Anthony W. Knapp

Publisher: Springer Science & Business Media

Published: 2008-07-11

Total Pages: 484

ISBN-13: 0817644423

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* Presents a comprehensive treatment with a global view of the subject * Rich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician

History of Banach Spaces and Linear Operators
History of Banach Spaces and Linear Operators

Author: Albrecht Pietsch

Publisher: Springer Science & Business Media

Published: 2007-12-31

Total Pages: 877

ISBN-13: 0817645969

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Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.

Elements of the Representation Theory of Associative Algebras: Volume 1
Elements of the Representation Theory of Associative Algebras: Volume 1

Author: Ibrahim Assem

Publisher: Cambridge University Press

Published: 2006-02-13

Total Pages: 480

ISBN-13: 9780521584234

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This is the first of a two-volume set that provides a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers and homological algebra. The treatment is self-contained and provides an elementary and up-to-date introduction to the subject using quiver-theoretical techniques and the theory of almost split sequences as well as tilting theory and the use of integral quadratic forms. Much of this material has never appeared before in book form. The book is primarily addressed to graduate students starting research in the representation theory of algebras, but it will also be of interest to mathematicians in other fields. The text includes many illustrative examples and a large number of exercises at the end of each of the ten chapters. Proofs are presented in complete detail, making the book suitable for courses, seminars, and self-study. Book jacket.

Dissociation
Dissociation

Author: David Spiegel

Publisher: American Psychiatric Pub

Published: 1994

Total Pages: 252

ISBN-13: 9780880485579

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Dissociation challenges many comfortable assumptions. Dissociative phenomena are often stark, extreme, and vivid. The identities of individuals with dissociation disorders shift between apparent opposites. Their pain is ignored. Trauma victims report floating above their injured bodies. Are these arcane, dramatic, or staged events, or does dissociation underlie some fundamental aspect of mental organization? Is dissociation the product of a troubled mind or a key to understanding the structure of consciousness and the mind-body relationship? Dissociation: Culture, Mind, and Body is the first book to combine cultural anthropology, cognitive psychology, neurophysiology, and the study of psychosomatic illness to present the latest information on the dissociative process. A variety of leading experts in each of these fields bring their knowledge on the unique role that dissociation plays in moderating social and psychological effects on the body. Dissociation: Culture, Mind, and Body is an invaluable resource for every student of dissociation and is designed for professionals in cross-cultural psychiatry and the influence of the mind on the body. Dissociation: Culture, Mind, and Body includes New theories of dissociation New measures of dissociation New evidence of the physical effects of dissociative processes

Studies in Lie Theory
Studies in Lie Theory

Author: Anthony Joseph

Publisher: Springer Science & Business Media

Published: 2006-01-26

Total Pages: 526

ISBN-13: 9780817643423

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Contains new results on different aspects of Lie theory, including Lie superalgebras, quantum groups, crystal bases, representations of reductive groups in finite characteristic, and the geometric Langlands program

Variational Methods in Shape Optimization Problems
Variational Methods in Shape Optimization Problems

Author: Dorin Bucur

Publisher: Springer Science & Business Media

Published: 2006-09-13

Total Pages: 218

ISBN-13: 0817644032

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Shape optimization problems are treated from the classical and modern perspectives Targets a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems Requires only a standard knowledge in the calculus of variations, differential equations, and functional analysis Driven by several good examples and illustrations Poses some open questions.

The Wonder Book of Geometry
The Wonder Book of Geometry

Author: David Acheson

Publisher: Oxford University Press

Published: 2020-10-22

Total Pages: 240

ISBN-13: 0192585371

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How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.