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Author : Edward Thomas Copson
Publisher : Unknown
Page : 448 pages
File Size : 50,9 Mb
Release : 1970
Category : Functions of complex variables
ISBN : LCCN:86001115
Author : Wolfgang J. Thron
Publisher : Unknown
Page : 128 pages
File Size : 55,8 Mb
Release : 1958
Category : Electronic
ISBN : OCLC:473177407
Author : Edward Thomas Copson
Publisher : Unknown
Page : 462 pages
File Size : 47,8 Mb
Release : 1962
Category : Analytic functions
ISBN : CORNELL:31924004082354
Author : Vasiliy Sergeyevich Vladimirov,Scripta Technica
Publisher : Courier Corporation
Page : 370 pages
File Size : 54,5 Mb
Release : 2007-01-01
Category : Mathematics
ISBN : 9780486458120
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 : Wolfgang Joseph THRON
Publisher : Unknown
Page : 128 pages
File Size : 49,5 Mb
Release : 1953
Category : Electronic
ISBN : OCLC:504027936
Author : Robert Everist Greene,Steven George Krantz
Publisher : American Mathematical Soc.
Page : 536 pages
File Size : 48,9 Mb
Release : 2006
Category : Mathematics
ISBN : 0821839624
Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples andexercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem,and the Bergman kernel. The authors also treat $Hp$ spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors.
Author : Henri Cartan
Publisher : Courier Corporation
Page : 242 pages
File Size : 47,6 Mb
Release : 2013-04-22
Category : Mathematics
ISBN : 9780486318677
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 : Gennadiĭ Mikhaĭlovich Goluzin
Publisher : American Mathematical Soc.
Page : 690 pages
File Size : 46,5 Mb
Release : 1969
Category : Functions of complex variables
ISBN : 082188655X
Author : J.B. Conway
Publisher : Springer Science & Business Media
Page : 323 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461599722
This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - I) arguments. The actual pre requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathe matics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.
Author : Alekseĭ Georgievich Sveshnikov,Andreĭ Nikolaevich Tikhonov
Publisher : Unknown
Page : 344 pages
File Size : 50,7 Mb
Release : 1978
Category : Functions of complex variables
ISBN : OSU:32435017113325
The complex variable and functions of a complex variable; Series of analytical functions; Analytic continuation elementary; The laurent series and isolated singular points; Residues and their applications; Conformal mapping; Analytic-functions in the solutions of boundary-value problems; Fundamentals of operational calculus; Saddle-point method; The wiener-hopf method; Functions of many complex variables.
Author : Jerry R. Muir, Jr.
Publisher : John Wiley & Sons
Page : 280 pages
File Size : 53,9 Mb
Release : 2015-05-26
Category : Mathematics
ISBN : 9781118705278
A thorough introduction to the theory of complex functions emphasizing the beauty, power, and counterintuitive nature of the subject Written with a reader-friendly approach, Complex Analysis: A Modern First Course in Function Theory features a self-contained, concise development of the fundamental principles of complex analysis. After laying groundwork on complex numbers and the calculus and geometric mapping properties of functions of a complex variable, the author uses power series as a unifying theme to define and study the many rich and occasionally surprising properties of analytic functions, including the Cauchy theory and residue theorem. The book concludes with a treatment of harmonic functions and an epilogue on the Riemann mapping theorem. Thoroughly classroom tested at multiple universities, Complex Analysis: A Modern First Course in Function Theory features: Plentiful exercises, both computational and theoretical, of varying levels of difficulty, including several that could be used for student projects Numerous figures to illustrate geometric concepts and constructions used in proofs Remarks at the conclusion of each section that place the main concepts in context, compare and contrast results with the calculus of real functions, and provide historical notes Appendices on the basics of sets and functions and a handful of useful results from advanced calculus Appropriate for students majoring in pure or applied mathematics as well as physics or engineering, Complex Analysis: A Modern First Course in Function Theory is an ideal textbook for a one-semester course in complex analysis for those with a strong foundation in multivariable calculus. The logically complete book also serves as a key reference for mathematicians, physicists, and engineers and is an excellent source for anyone interested in independently learning or reviewing the beautiful subject of complex analysis.
Author : Wolfgang J. Thron
Publisher : Unknown
Page : 230 pages
File Size : 44,6 Mb
Release : 1963
Category : Electronic
ISBN : OCLC:981264692
Author : Narayan Shanti & Mittal P.K.
Publisher : S. Chand Publishing
Page : 624 pages
File Size : 42,6 Mb
Release : 2005-03
Category : Science
ISBN : 9788121906395
Theory of Functions of a Complex Variable
Author : Donald Sarason
Publisher : American Mathematical Society
Page : 177 pages
File Size : 55,9 Mb
Release : 2021-02-16
Category : Mathematics
ISBN : 9781470463236
Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable. Written in a classical style, it is in the spirit of the books by Ahlfors and by Saks and Zygmund. Being designed for a one-semester course, it is much shorter than many of the standard texts. Sarason covers the basic material through Cauchy's theorem and applications, plus the Riemann mapping theorem. It is suitable for either an introductory graduate course or an undergraduate course for students with adequate preparation. The first edition was published with the title Notes on Complex Function Theory.
Author : George F. Carrier,Max Krook,Carl E. Pearson
Publisher : SIAM
Page : 451 pages
File Size : 52,8 Mb
Release : 2005-01-01
Category : Mathematics
ISBN : 0898719119
Functions of a complex variable are used to solve applications in various branches of mathematics, science, and engineering. Functions of a Complex Variable: Theory and Technique is a book in a special category of influential classics because it is based on the authors' extensive experience in modeling complicated situations and providing analytic solutions. The book makes available to readers a comprehensive range of these analytical techniques based upon complex variable theory. Advanced topics covered include asymptotics, transforms, the Wiener-Hopf method, and dual and singular integral equations. The authors provide many exercises, incorporating them into the body of the text. Audience: intended for applied mathematicians, scientists, engineers, and senior or graduate-level students who have advanced knowledge in calculus and are interested in such subjects as complex variable theory, function theory, mathematical methods, advanced engineering mathematics, and mathematical physics.
