Complex Variables Harmonic And Analytic Functions

Author : Francis J. Flanigan
Publisher : Courier Corporation
ISBN 13 : 0486613887
Total Pages : 386 pages
Book Rating : 4.88/5 ( download)

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Download or read book Complex Variables written by Francis J. Flanigan and published by Courier Corporation. This book was released on 1983-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents include calculus in the plane; harmonic functions in the plane; analytic functions and power series; singular points and Laurent series; and much more. Numerous problems and solutions. 1972 edition.

Author : Francis J. Flanigan
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.29/5 ( download)

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Download or read book Complex Variables: Harmonic and Analytic Functions written by Francis J. Flanigan and published by . This book was released on 1972 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Carlos A. Berenstein
Publisher : Springer Science & Business Media
ISBN 13 : 1461384451
Total Pages : 491 pages
Book Rating : 4.58/5 ( download)

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Download or read book Complex Analysis and Special Topics in Harmonic Analysis written by Carlos A. Berenstein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: A companion volume to the text "Complex Variables: An Introduction" by the same authors, this book further develops the theory, continuing to emphasize the role that the Cauchy-Riemann equation plays in modern complex analysis. Topics considered include: Boundary values of holomorphic functions in the sense of distributions; interpolation problems and ideal theory in algebras of entire functions with growth conditions; exponential polynomials; the G transform and the unifying role it plays in complex analysis and transcendental number theory; summation methods; and the theorem of L. Schwarz concerning the solutions of a homogeneous convolution equation on the real line and its applications in harmonic function theory.

Author : Luogeng Hua
Publisher : American Mathematical Soc.
ISBN 13 : 0821815563
Total Pages : 192 pages
Book Rating : 4.64/5 ( download)

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Download or read book Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains written by Luogeng Hua and published by American Mathematical Soc.. This book was released on 1963-12-31 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Henri Cartan
Publisher : Courier Corporation
ISBN 13 : 0486318672
Total Pages : 242 pages
Book Rating : 4.77/5 ( download)

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Download or read book Elementary Theory of Analytic Functions of One or Several Complex Variables written by Henri Cartan and published by Courier Corporation. This book was released on 2013-04-22 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.

Author : Steven G. Krantz
Publisher : Springer
ISBN 13 : 3319632310
Total Pages : 424 pages
Book Rating : 4.15/5 ( download)

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Download or read book Harmonic and Complex Analysis in Several Variables written by Steven G. Krantz and published by Springer. This book was released on 2017-09-20 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: complex analysis and harmonic analysis. Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of complex analysis of one and several complex variables as well as with real and functional analysis. The monograph is largely self-contained and develops the harmonic analysis of several complex variables from the first principles. The text includes copious examples, explanations, an exhaustive bibliography for further reading, and figures that illustrate the geometric nature of the subject. Each chapter ends with an exercise set. Additionally, each chapter begins with a prologue, introducing the reader to the subject matter that follows; capsules presented in each section give perspective and a spirited launch to the segment; preludes help put ideas into context. Mathematicians and researchers in several applied disciplines will find the breadth and depth of the treatment of the subject highly useful.

Author : Stephen D. Fisher
Publisher : Courier Corporation
ISBN 13 : 0486406792
Total Pages : 450 pages
Book Rating : 4.94/5 ( download)

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Download or read book Complex Variables written by Stephen D. Fisher and published by Courier Corporation. This book was released on 1999-02-16 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, transform methods. Hundreds of solved examples, exercises, applications. 1990 edition. Appendices.

Author : SHAHNAZ BATHUL
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120341937
Total Pages : 534 pages
Book Rating : 4.37/5 ( download)

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Download or read book SPECIAL FUNCTIONS AND COMPLEX VARIABLES written by SHAHNAZ BATHUL and published by PHI Learning Pvt. Ltd.. This book was released on 2010-09-07 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-received book, which is a new edition of Textbook of Engineering Mathematics: Special Functions and Complex Variables by the same author, continues to discuss two important topics—special functions and complex variables. It analyzes special functions such as gamma and beta functions, Legendre’s equation and function, and Bessel’s function. Besides, the text explains the notions of limit, continuity and differentiability by giving a thorough grounding on analytic functions and their relations with harmonic functions. In addition, the book introduces the exponential function of a complex variable and, with the help of this function, defines the trigonometric and hyperbolic functions and explains their properties. While discussing different mathematical concepts, the book analyzes a number of theorems such as Cauchy’s integral theorem for the integration of a complex variable, Taylor’s theorem for the analysis of complex power series, the residue theorem for evaluation of residues, besides the argument principle and Rouche’s theorem for the determination of the number of zeros of complex polynomials. Finally, the book gives a thorough exposition of conformal mappings and develops the theory of bilinear transformation. Intended as a text for engineering students, this book will also be useful for undergraduate and postgraduate students of Mathematics and students appearing in competitive examinations. What is New to This Edition : Chapters have been reorganized keeping in mind changes in the syllabi. A new chapter is exclusively devoted to Graph Theory.

Author : Lars Ahlfors
Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.54/5 ( download)

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Download or read book Complex Analysis written by Lars Ahlfors and published by . This book was released on 1979 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals.

Author : Saminathan Ponnusamy
Publisher : Springer Science & Business Media
ISBN 13 : 0817645136
Total Pages : 521 pages
Book Rating : 4.37/5 ( download)

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Download or read book Complex Variables with Applications written by Saminathan Ponnusamy and published by Springer Science & Business Media. This book was released on 2007-05-26 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometric characteristics Engaging exposition with discussions, remarks, questions, and exercises to motivate understanding and critical thinking skills Encludes numerous examples and applications relevant to science and engineering students