Martin A. Moskowitz's Books

A Course in Complex Analysis in One Variable

By: Martin A. Moskowitz

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A Course in Complex Analysis in One Variable

By: Martin A. Moskowitz

Organized in an especially efficient manner, presenting basic complex analysis. Includes about 50 exercises

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Page Count

168

Publisher

World Scientific

Published Date

ISBN 10

981024780X

ISBN 13

9789810247805

Functions of Several Real Variables

By: Martin A. Moskowitz,Fotios Paliogiannis

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Functions of Several Real Variables

By: Martin A. Moskowitz,Fotios Paliogiannis

This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, differentiation and integration. All topics and in particular, differentiation and integration, are treated in depth and with mathematical rigor. The classical theorems of differentiation and integration are proved in detail and many of them with novel proofs. The authors develop the theory in a logical sequence building one theorem upon the other, enriching the development with numerous explanatory remarks and historical footnotes. A number of well chosen illustrative examples and counter-examples clarify the theory and teach the reader how to apply it to solve problems in mathematics and other sciences and economics. Each of the chapters concludes with groups of exercises and problems, many of them with detailed solutions while others with hints or final answers. More advanced topics, such as Morse's lemma, Brouwer's fixed point theorem, Picard's theorem and the Weierstrass approximation theorem are discussed in stared sections.

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Page Count

733

Publisher

World Scientific

Published Date

ISBN 10

981429926X

ISBN 13

9789814299268

Basic Lie Theory

By: Hossein Abbaspour,Martin A. Moskowitz

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Basic Lie Theory

By: Hossein Abbaspour,Martin A. Moskowitz

This volume provides a comprehensive treatment of basic Lie theory, primarily directed toward graduate study. The text is ideal for a full graduate course in Lie groups and Lie algebras. However, the book is also very usable for a variety of other courses: a one-semester course in Lie algebras, or on Haar measure and its applications, for advanced undergraduates; or as the text for one-semester graduate courses in Lie groups and symmetric spaces of non-compact type, or in lattices in Lie groups. The material is complete and detailed enough to be used for self-study; it can also serve as a reference work for professional mathematicians working in other areas. The book's utility for such a varied readership is enhanced by a diagram showing the interdependence of the separate chapters so that individual chapters and the material they depend upon can be selected, while others can be skipped.The book incorporates many of the most significant discoveries and pioneering contributions of the masters of the subject: Borel, Cartan, Chevalley, Iwasawa, Mostow, Siegel, and Weyl, among others.

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Page Count

444

Publisher

World Scientific

Published Date

ISBN 10

9812706984

ISBN 13

9789812706980

Fixed Point Theorems and Their Applications

By: Ioannis Farmakis,Martin A. Moskowitz

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Fixed Point Theorems and Their Applications

By: Ioannis Farmakis,Martin A. Moskowitz

This is the only book that deals comprehensively with fixed point theorems overall of mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional mathematicians and could be of interest to physicists, economists and engineers.

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Page Count

247

Publisher

World Scientific

Published Date

ISBN 10

9814458929

ISBN 13

9789814458924

Adventures in Mathematics

By: Martin A. Moskowitz

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Adventures in Mathematics

By: Martin A. Moskowitz

Though elementary in nature, this book deals with fundamental issues in mathematics OCo number, algebra, geometry (both Euclidean and non-Euclidean) and topology. These subjects, on an advanced level, are the same ones with which much of current mathematical research is concerned and were themselves research topics of earlier periods. The material is very suitable both for advanced high school students and for college students interested in elementary mathematics from a higher standpoint. It will also be very useful to high school teachers seeking an overview of their subject matter. Contents: What is a Number?: The Positive Integers; The Integers; The Rational Numbers; The Real Numbers; The Integers Revisited; The Complex Numbers; Polynomials and Other Analogues of the Integers; The Algebra on a Dial; Groups, Finite Fields and Linear Algebra: Introduction to Groups and Their Actions; Applications to Finite Fields and the Theory of Numbers; Linear Algebra; Two- and Three-Dimensional Geometry and Topology: The Euclidean Case; Elliptic and Hyperbolic Geometry; Some Two- and Three-Dimensional Topology. Readership: High school and college teachers and students; college pre-calculus teachers and students; general readers with an interest in mathematics but a limited background.

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Page Count

122

Publisher

World Scientific

Published Date

ISBN 10

9812794948

ISBN 13

9789812794949

A Course In Complex Analysis In One Variable

By: Martin Moskowitz

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A Course In Complex Analysis In One Variable

By: Martin Moskowitz

Complex analysis is a beautiful subject — perhaps the single most beautiful; and striking; in mathematics. It presents completely unforeseen results that are of a dramatic; even magical; nature. This invaluable book will convey to the student its excitement and extraordinary character. The exposition is organized in an especially efficient manner; presenting basic complex analysis in around 130 pages; with about 50 exercises. The material constantly relates to and contrasts with that of its sister subject; real analysis. An unusual feature of this book is a short final chapter containing applications of complex analysis to Lie theory.Since much of the content originated in a one-semester course given at the CUNY Graduate Center; the text will be very suitable for first year graduate students in mathematics who want to learn the basics of this important subject. For advanced undergraduates; there is enough material for a year-long course or; by concentrating on the first three chapters; for one-semester course.

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Page Count

160

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813105895

ISBN 13

9789813105898

Functions of Several Real Variables

By: Martin A. Moskowitz,Fotios Paliogiannis

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Functions of Several Real Variables

By: Martin A. Moskowitz,Fotios Paliogiannis

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Solve jigsaw puzzle

Age

Page Count

733

Publisher

World Scientific

Published Date

ISBN 10

981429926X

ISBN 13

9789814299268

Book's by Martin A. Moskowitz

A Course in Complex Analysis in One Variable

A Course in Complex Analysis in One Variable

Functions of Several Real Variables

Functions of Several Real Variables

Basic Lie Theory

Basic Lie Theory

Fixed Point Theorems and Their Applications

Fixed Point Theorems and Their Applications

Adventures in Mathematics

Adventures in Mathematics

A Course In Complex Analysis In One Variable

A Course In Complex Analysis In One Variable

Functions of Several Real Variables

Functions of Several Real Variables

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