Applied Complex Variables

Author : John W. Dettman
Publisher : Courier Corporation
ISBN 13 : 0486158284
Total Pages : 512 pages
Book Rating : 4.80/5 ( download)

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Download or read book Applied Complex Variables written by John W. Dettman and published by Courier Corporation. This book was released on 2012-05-07 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.

Author : John Warren Dettman
Publisher : Courier Corporation
ISBN 13 : 9780486646701
Total Pages : 514 pages
Book Rating : 4.0X/5 ( download)

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Download or read book Applied Complex Variables written by John Warren Dettman and published by Courier Corporation. This book was released on 1965-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of analytic function theory -- plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.

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 : Joseph L. Taylor
Publisher : American Mathematical Soc.
ISBN 13 : 0821869019
Total Pages : 319 pages
Book Rating : 4.17/5 ( download)

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Download or read book Complex Variables written by Joseph L. Taylor and published by American Mathematical Soc.. This book was released on 2011 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The text covers a broad spectrum between basic and advanced complex variables on the one hand and between theoretical and applied or computational material on the other hand. With careful selection of the emphasis put on the various sections, examples, and exercises, the book can be used in a one- or two-semester course for undergraduate mathematics majors, a one-semester course for engineering or physics majors, or a one-semester course for first-year mathematics graduate students. It has been tested in all three settings at the University of Utah. The exposition is clear, concise, and lively. There is a clean and modern approach to Cauchy's theorems and Taylor series expansions, with rigorous proofs but no long and tedious arguments. This is followed by the rich harvest of easy consequences of the existence of power series expansions. Through the central portion of the text, there is a careful and extensive treatment of residue theory and its application to computation of integrals, conformal mapping and its applications to applied problems, analytic continuation, and the proofs of the Picard theorems. Chapter 8 covers material on infinite products and zeroes of entire functions. This leads to the final chapter which is devoted to the Riemann zeta function, the Riemann Hypothesis, and a proof of the Prime Number Theorem." -- Publisher.

Author : Anthony D. Osborne
Publisher : Addison Wesley
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.91/5 ( download)

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Download or read book Complex Variables and Their Applications written by Anthony D. Osborne and published by Addison Wesley. This book was released on 1999 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of functions of a complex variable, together with the importance of their applications, form an essential part of the study of mathematics. Complex Variables and their Applications assumes as little background knowledge of the reader as is practically possible, a sound knowledge of calculus and basic real analysis being the only essential pre-requisites. With an emphasis on clear and careful explanation, the book covers all the essential topics covered in a first course on Complex Variables, such as differentiation, integration and applications, Laurent series, residue theory and applications, and elementary conformal mappings. The reader is also introduced to the Schwarz-Christoffel transformation, Dirchlet problems, harmonic functions, analytic continuation, infinite products, asymptotic series and elliptic functions. Applications of complex variable theory to linear ordinary differential equations and integral transforms are also included. Complex Variables and their Applications is an ideal textbook and resource for second and final year students of mathematics, engineering and physics.

Author : Yue Kuen Kwok
Publisher : Cambridge University Press
ISBN 13 : 113948883X
Total Pages : 451 pages
Book Rating : 4.39/5 ( download)

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Download or read book Applied Complex Variables for Scientists and Engineers written by Yue Kuen Kwok and published by Cambridge University Press. This book was released on 2010-06-24 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. This second edition now contains 350 stimulating exercises of high quality, with solutions given to many of them. Material has been updated and additional proofs on some of the important theorems in complex function theory are now included, e.g. the Weierstrass–Casorati theorem. The book is highly suitable for students wishing to learn the elements of complex analysis in an applied context.

Author : Mark J. Ablowitz
Publisher : Cambridge University Press
ISBN 13 : 1139439138
Total Pages : pages
Book Rating : 4.38/5 ( download)

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Download or read book Complex Variables written by Mark J. Ablowitz and published by Cambridge University Press. This book was released on 2003-04-28 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex variables provide powerful methods for attacking problems that can be very difficult to solve in any other way, and it is the aim of this book to provide a thorough grounding in these methods and their application. Part I of this text provides an introduction to the subject, including analytic functions, integration, series, and residue calculus and also includes transform methods, ODEs in the complex plane, and numerical methods. Part II contains conformal mappings, asymptotic expansions, and the study of Riemann–Hilbert problems. The authors provide an extensive array of applications, illustrative examples and homework exercises. This 2003 edition was improved throughout and is ideal for use in undergraduate and introductory graduate level courses in complex variables.

Author : Vasiliy Sergeyevich Vladimirov
Publisher : Courier Corporation
ISBN 13 : 0486458121
Total Pages : 370 pages
Book Rating : 4.20/5 ( download)

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Download or read book Methods of the Theory of Functions of Many Complex Variables written by Vasiliy Sergeyevich Vladimirov and published by Courier Corporation. This book was released on 2007-01-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients. Students of quantum field theory will find this text of particular value. The text begins with an introduction that defines the basic concepts and elementary propositions, along with the more salient facts from the theory of functions of real variables and the theory of generalized functions. Subsequent chapters address the theory of plurisubharmonic functions and pseudoconvex domains, along with characteristics of domains of holomorphy. These explorations are further examined in terms of four types of domains: multiple-circular, tubular, semitubular, and Hartogs' domains. Surveys of integral representations focus on the Martinelli-Bochner, Bergman-Weil, and Bochner representations. The final chapter is devoted to applications, particularly those involved in field theory. It employs the theory of generalized functions, along with the theory of functions of several complex variables.

Author : H. S. KASANA
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 9788120326415
Total Pages : 510 pages
Book Rating : 4.15/5 ( download)

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Download or read book COMPLEX VARIABLES written by H. S. KASANA and published by PHI Learning Pvt. Ltd.. This book was released on 2005-01-01 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this comprehensive and accessible text continues to offer students a challenging and enjoyable study of complex variables that is infused with perfect balanced coverage of mathematical theory and applied topics. The author explains fundamental concepts and techniques with precision and introduces the students to complex variable theory through conceptual develop-ment of analysis that enables them to develop a thorough understanding of the topics discussed. Geometric interpretation of the results, wherever necessary, has been inducted for making the analysis more accessible. The level of the text assumes that the reader is acquainted with elementary real analysis. Beginning with the revision of the algebra of complex variables, the book moves on to deal with analytic functions, elementary functions, complex integration, sequences, series and infinite products, series expansions, singularities and residues. The application-oriented chapters on sums and integrals, conformal mappings, Laplace transform, and some special topics, provide a practical-use perspective. Enriched with many numerical examples and exercises designed to test the student's comprehension of the topics covered, this book is written for a one-semester course in complex variables for students in the science and engineering disciplines.

Author : Steven G. Krantz
Publisher : CRC Press
ISBN 13 : 1000007189
Total Pages : 243 pages
Book Rating : 4.83/5 ( download)

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Download or read book Complex Variables written by Steven G. Krantz and published by CRC Press. This book was released on 2019-04-16 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of complex numbers dates back at least 300 years—to Gauss and Euler, among others. Today complex analysis is a central part of modern analytical thinking. It is used in engineering, physics, mathematics, astrophysics, and many other fields. It provides powerful tools for doing mathematical analysis, and often yields pleasing and unanticipated answers. This book makes the subject of complex analysis accessible to a broad audience. The complex numbers are a somewhat mysterious number system that seems to come out of the blue. It is important for students to see that this is really a very concrete set of objects that has very concrete and meaningful applications. Features: This new edition is a substantial rewrite, focusing on the accessibility, applied, and visual aspect of complex analysis This book has an exceptionally large number of examples and a large number of figures. The topic is presented as a natural outgrowth of the calculus. It is not a new language, or a new way of thinking. Incisive applications appear throughout the book. Partial differential equations are used as a unifying theme.