A Course of Modern Analysis

Author: E. T. Whittaker,G. N. Watson

Publisher: Cambridge University Press

ISBN: 9780521588072

Category: Mathematics

Page: 608

View: 3981

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This classic text has entered and held the field as the standard book on the applications of analysis to the transcendental functions. The authors explain the methods of modern analysis in the first part of the book and then proceed to a detailed discussion of the transcendental function, unhampered by the necessity of continually proving new theorems for special applications. In this way the authors have succeeded in being rigorous without imposing on the reader the mass of detail that so often tends to make a rigorous demonstration tedious. Researchers and students will find this book as valuable as ever.
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A Course of Modern Analysis

An Introduction to the General Theory of Infinite Processes and of Analytic Functions; With an Account of the Principal Transcendental Functions

Author: Edmund Taylor Whittaker

Publisher: Franklin Classics

ISBN: 9780342601172

Category:

Page: 572

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This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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A Course of Modern Analysis

An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions

Author: Edmund Taylor Whittaker,George Neville Watson

Publisher: N.A

ISBN: N.A

Category: Analytic functions

Page: 608

View: 5472

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A Course of Modern Analysis

An Introduction to the General Theory of Infinite Series and of Analytic Functions, with an Account of the Principal Transcendental Functions

Author: Edmund Taylor Whittaker

Publisher: N.A

ISBN: N.A

Category: Calculus

Page: 378

View: 431

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Foundations of Modern Analysis

Author: Avner Friedman

Publisher: Courier Corporation

ISBN: 9780486640624

Category: Mathematics

Page: 250

View: 2745

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Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.
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A Course of Mathematics for Engineerings and Scientists

Author: Brian H. Chirgwin,Charles Plumpton

Publisher: Elsevier

ISBN: 1483154807

Category: Mathematics

Page: 362

View: 386

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A Course of Mathematics for Engineers and Scientists offers a mathematics course for undergraduate students reading science and engineering at British and Commonwealth Universities and colleges. The aim of this volume is to generalize and develop the ideas and methods of earlier volumes so that the student can appreciate and use the mathematical methods required in the more advanced parts of physics and engineering. This book begins with elementary ideas of vector algebra which are generalized and developed in two ways. The first is an account of vector analysis and the differential and integral operations and theorems concerning vectors. These ideas find their first generalization in tensor analysis and the transformation of coordinates, including orthogonal curvilinear coordinates. The second development is to matrices, where the properties of arrays of elements, linear equations, and quadratic forms are shown to be the generalizations of elementary algebra and, using 'vector space', of familiar geometrical ideas to n dimensions. The solution of differential equations by series provides a general method for the solution of ordinary and some partial differential equations. A discussion of the properties of the solutions in the light of the Sturm-Liouville theory introduces the conceptions of eigenvalues and orthogonal functions, forming a link with matrices. A chapter on the special functions gives some of the better known properties of Bessel, Legendre, Laguerre, and Hermite functions, which commonly occur in the solution of boundary and initial value problems.
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Foundations of Modern Analysis

Author: J. Dieudonne

Publisher: Read Books Ltd

ISBN: 1446547515

Category: Mathematics

Page: 408

View: 4781

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Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
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