Topics In Classical And Modern Analysis


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Classical and Modern Numerical Analysis


Classical and Modern Numerical Analysis

Author: Azmy S. Ackleh

language: en

Publisher: CRC Press

Release Date: 2009-07-20


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Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis.The text covers the main areas o

A Course of Modern Analysis


A Course of Modern Analysis

Author: E. T. Whittaker

language: en

Publisher: Cambridge University Press

Release Date: 1927


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This classic text is known to and used by thousands of mathematicians and students of mathematics thorughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principle transcendental functions.

Introduction to Classical and Modern Analysis and Their Application to Group Representation Theory


Introduction to Classical and Modern Analysis and Their Application to Group Representation Theory

Author: Debabrata Basu

language: en

Publisher: World Scientific

Release Date: 2011


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This book is suitable for use in any graduate course on analytical methods and their application to representation theory. Each concept is developed with special emphasis on lucidity and clarity. The book also shows the direct link of Cauchy?Pochhammer theory with the Hadamard?Reisz?Schwartz?Gel'fand et al. regularization. The flaw in earlier works on the Plancheral formula for the universal covering group of SL(2, R) is pointed out and rectified. This topic appears here for the first time in the correct form.Existing treatises are essentially magnum opus of the experts, intended for other experts in the field. This book, on the other hand, is unique insofar as every chapter deals with topics in a way that differs remarkably from traditional treatment. For example, Chapter 3 presents the Cauchy?Pochhammer theory of gamma, beta and zeta function in a form which has not been presented so far in any treatise of classical analysis.