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

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.

Differential Geometry of Curves and Surfaces
Differential Geometry of Curves and Surfaces

Author: Victor Andreevich Toponogov

Publisher: Springer Science & Business Media

Published: 2006-09-10

Total Pages: 215

ISBN-13: 0817644024

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Central topics covered include curves, surfaces, geodesics, intrinsic geometry, and the Alexandrov global angle comparision theorem Many nontrivial and original problems (some with hints and solutions) Standard theoretical material is combined with more difficult theorems and complex problems, while maintaining a clear distinction between the two levels

Point Processes
Point Processes

Author: D.R. Cox

Publisher: Routledge

Published: 2018-12-19

Total Pages: 188

ISBN-13: 135142386X

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There has been much recent research on the theory of point processes, i.e., on random systems consisting of point events occurring in space or time. Applications range from emissions from a radioactive source, occurrences of accidents or machine breakdowns, or of electrical impluses along nerve fibres, to repetitive point events in an individual's medical or social history. Sometimes the point events occur in space rather than time and the application here raneg from statistical physics to geography. The object of this book is to develop the applied mathemathics of point processes at a level which will make the ideas accessible both to the research worker and the postgraduate student in probability and statistics and also to the mathemathically inclined individual in another field interested in using ideas and results. A thorough knowledge of the key notions of elementary probability theory is required to understand the book, but specialised "pure mathematical" coniderations have been avoided.

The Quantum Theory of Fields
The Quantum Theory of Fields

Author: Steven Weinberg

Publisher: Cambridge University Press

Published: 1995-06-30

Total Pages: 656

ISBN-13: 9780521550017

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Available for the first time in paperback, The Quantum Theory of Fields is a self-contained, comprehensive, and up-to-date introduction to quantum field theory from Nobel Laureate Steven Weinberg. Volume I introduces the foundations of quantum field theory.

How to Teach Mathematics, Second Edition
How to Teach Mathematics, Second Edition

Author: Steven George Krantz

Publisher: American Mathematical Soc.

Published: 1999

Total Pages: 330

ISBN-13: 0821813986

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This expanded edition of the original bestseller, How to Teach Mathematics, offers hands-on guidance for teaching mathematics in the modern classroom setting. Twelve appendices have been added that are written by experts who have a wide range of opinions and viewpoints on the major teaching issues. Eschewing generalities, the award-winning author and teacher, Steven Krantz, addresses issues such as preparation, presentation, discipline, and grading. He also emphasizes specifics--from how to deal with students who beg for extra points on an exam to mastering blackboard technique to how to use applications effectively. No other contemporary book addresses the principles of good teaching in such a comprehensive and cogent manner. The broad appeal of this text makes it accessible to areas other than mathematics. The principles presented can apply to a variety of disciplines--from music to English to business. Lively and humorous, yet serious and sensible, this volume offers readers incisive information and practical applications.

Michael Atiyah Collected Works
Michael Atiyah Collected Works

Author: Michael Francis Atiyah

Publisher: Oxford University Press

Published: 2014

Total Pages: 477

ISBN-13: 0199689261

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One of the greatest mathematicians in the world, Michael Atiyah has earned numerous honors, including a Fields Medal, the mathematical equivalent of the Nobel Prize. While the focus of his work has been in the areas of algebraic geometry and topology, he has also participated in research with theoretical physicists. For the first time, these volumes bring together Atiyah's collected papers--both monographs and collaborative works-- including those dealing with mathematical education and current topics of research such as K-theory and gauge theory. The volumes are organized thematically. They will be of great interest to research mathematicians, theoretical physicists, and graduate students in these areas.