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Author : W. E. Kirwan
Publisher : Springer
ISBN 13 : 3540380884
Total Pages : 215 pages
Book Rating : 4.5/5 (43 download)
Download or read book Advances in Complex Function Theory written by W. E. Kirwan and published by Springer. This book was released on 2006-11-14 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Breaz
Publisher : Springer Nature
ISBN 13 : 3030401200
Total Pages : 538 pages
Book Rating : 4.0/5 (34 download)
Download or read book Advancements in Complex Analysis written by Daniel Breaz and published by Springer Nature. This book was released on 2020-05-12 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions to this volume are devoted to a discussion of state-of-the-art research and treatment of problems of a wide spectrum of areas in complex analysis ranging from pure to applied and interdisciplinary mathematical research. Topics covered include: holomorphic approximation, hypercomplex analysis, special functions of complex variables, automorphic groups, zeros of the Riemann zeta function, Gaussian multiplicative chaos, non-constant frequency decompositions, minimal kernels, one-component inner functions, power moment problems, complex dynamics, biholomorphic cryptosystems, fermionic and bosonic operators. The book will appeal to graduate students and research mathematicians as well as to physicists, engineers, and scientists, whose work is related to the topics covered.
Author : Reinhold Remmert
Publisher : Springer Science & Business Media
ISBN 13 : 1475729561
Total Pages : 362 pages
Book Rating : 4.4/5 (757 download)
Download or read book Classical Topics in Complex Function Theory written by Reinhold Remmert and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: An ideal text for an advanced course in the theory of complex functions, this book leads readers to experience function theory personally and to participate in the work of the creative mathematician. The author includes numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this discipline has become. In addition to standard topics, readers will find Eisenstein's proof of Euler's product formula for the sine function; Wielandts uniqueness theorem for the gamma function; Stirlings formula; Isssas theorem; Besses proof that all domains in C are domains of holomorphy; Wedderburns lemma and the ideal theory of rings of holomorphic functions; Estermanns proofs of the overconvergence theorem and Blochs theorem; a holomorphic imbedding of the unit disc in C3; and Gausss expert opinion on Riemanns dissertation. Remmert elegantly presents the material in short clear sections, with compact proofs and historical comments interwoven throughout the text. The abundance of examples, exercises, and historical remarks, as well as the extensive bibliography, combine to make an invaluable source for students and teachers alike
Author : Donald Sarason
Publisher : American Mathematical Society
ISBN 13 : 1470463237
Total Pages : 177 pages
Book Rating : 4.4/5 (74 download)
Download or read book Complex Function Theory written by Donald Sarason and published by American Mathematical Society. This book was released on 2021-02-16 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Steven George Krantz
Publisher : American Mathematical Soc.
ISBN 13 : 0821827243
Total Pages : 586 pages
Book Rating : 4.8/5 (218 download)
Download or read book Function Theory of Several Complex Variables written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 2001 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.
Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 9780821839621
Total Pages : 536 pages
Book Rating : 4.8/5 (396 download)
Download or read book Function Theory of One Complex Variable written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 2006 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 0486318672
Total Pages : 242 pages
Book Rating : 4.4/5 (863 download)
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 : Jerry R. Muir, Jr.
Publisher : John Wiley & Sons
ISBN 13 : 1118705270
Total Pages : 274 pages
Book Rating : 4.1/5 (187 download)
Download or read book Complex Analysis written by Jerry R. Muir, Jr. and published by John Wiley & Sons. This book was released on 2015-05-26 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Yanir A. Rubinstein
Publisher : American Mathematical Soc.
ISBN 13 : 1470443333
Total Pages : 272 pages
Book Rating : 4.4/5 (74 download)
Download or read book Advances in Complex Geometry written by Yanir A. Rubinstein and published by American Mathematical Soc.. This book was released on 2019-08-26 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions from speakers at the 2015–2018 joint Johns Hopkins University and University of Maryland Complex Geometry Seminar. It begins with a survey article on recent developments in pluripotential theory and its applications to Kähler–Einstein metrics and continues with articles devoted to various aspects of the theory of complex manifolds and functions on such manifolds.
Author : Vasiliy Sergeyevich Vladimirov
Publisher : Courier Corporation
ISBN 13 : 0486458121
Total Pages : 370 pages
Book Rating : 4.4/5 (864 download)
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 : Elias Wegert
Publisher : Springer Science & Business Media
ISBN 13 : 3034801807
Total Pages : 374 pages
Book Rating : 4.0/5 (348 download)
Download or read book Visual Complex Functions written by Elias Wegert and published by Springer Science & Business Media. This book was released on 2012-08-30 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic introduction to functions of one complex variable. Its novel feature is the consistent use of special color representations – so-called phase portraits – which visualize functions as images on their domains. Reading Visual Complex Functions requires no prerequisites except some basic knowledge of real calculus and plane geometry. The text is self-contained and covers all the main topics usually treated in a first course on complex analysis. With separate chapters on various construction principles, conformal mappings and Riemann surfaces it goes somewhat beyond a standard programme and leads the reader to more advanced themes. In a second storyline, running parallel to the course outlined above, one learns how properties of complex functions are reflected in and can be read off from phase portraits. The book contains more than 200 of these pictorial representations which endow individual faces to analytic functions. Phase portraits enhance the intuitive understanding of concepts in complex analysis and are expected to be useful tools for anybody working with special functions – even experienced researchers may be inspired by the pictures to new and challenging questions. Visual Complex Functions may also serve as a companion to other texts or as a reference work for advanced readers who wish to know more about phase portraits.
Author : John W. Dettman
Publisher : Courier Corporation
ISBN 13 : 0486158284
Total Pages : 514 pages
Book Rating : 4.4/5 (861 download)
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 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 : Gareth A. Jones
Publisher : Cambridge University Press
ISBN 13 : 9780521313667
Total Pages : 362 pages
Book Rating : 4.3/5 (136 download)
Download or read book Complex Functions written by Gareth A. Jones and published by Cambridge University Press. This book was released on 1987-03-19 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: An elementary account of many aspects of classical complex function theory, including Mobius transformations, elliptic functions, Riemann surfaces, Fuchsian groups and modular functions. The book is based on lectures given to advanced undergraduate students and is well suited as a textbook for a second course in complex function theory.
Author : Steven G. Krantz
Publisher : CRC Press
ISBN 13 : 9780849371554
Total Pages : 322 pages
Book Rating : 4.3/5 (715 download)
Download or read book Partial Differential Equations and Complex Analysis written by Steven G. Krantz and published by CRC Press. This book was released on 1992-07-02 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since the groundbreaking work of J.J. Kohn in the early 1960s, there has been a significant interaction between the theory of partial differential equations and the function theory of several complex variables. Partial Differential Equations and Complex Analysis explores the background and plumbs the depths of this symbiosis. The book is an excellent introduction to a variety of topics and presents many of the basic elements of linear partial differential equations in the context of how they are applied to the study of complex analysis. The author treats the Dirichlet and Neumann problems for elliptic equations and the related Schauder regularity theory, and examines how those results apply to the boundary regularity of biholomorphic mappings. He studies the ?-Neumann problem, then considers applications to the complex function theory of several variables and to the Bergman projection.
Author : Lev Izrailevich Volkovyski?
Publisher : Courier Corporation
ISBN 13 : 0486669130
Total Pages : 450 pages
Book Rating : 4.4/5 (866 download)
Download or read book A Collection of Problems on Complex Analysis written by Lev Izrailevich Volkovyski? and published by Courier Corporation. This book was released on 1991-01-01 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 1500 problems on theory of functions of the complex variable; coverage of nearly every branch of classical function theory. Topics include conformal mappings, integrals and power series, Laurent series, parametric integrals, integrals of the Cauchy type, analytic continuation, Riemann surfaces, much more. Answers and solutions at end of text. Bibliographical references. 1965 edition.
Author : Frank Smithies
Publisher : Cambridge University Press
ISBN 13 : 9780521592789
Total Pages : 242 pages
Book Rating : 4.5/5 (927 download)
Download or read book Cauchy and the Creation of Complex Function Theory written by Frank Smithies and published by Cambridge University Press. This book was released on 1997-11-20 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dr Smithies' analysis of the process whereby Cauchy created the basic structure of complex analysis, begins by describing the 18th century background. He then proceeds to examine the stages of Cauchy's own work, culminating in the proof of the residue theorem. Controversies associated with the the birth of the subject are also considered in detail. Throughout, new light is thrown on Cauchy's thinking during this watershed period. This authoritative book is the first to make use of the whole spectrum of available original sources.
Author : Sha Huang
Publisher : Springer Science & Business Media
ISBN 13 : 0387245367
Total Pages : 257 pages
Book Rating : 4.3/5 (872 download)
Download or read book Real and Complex Clifford Analysis written by Sha Huang and published by Springer Science & Business Media. This book was released on 2006-03-16 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clifford analysis, a branch of mathematics that has been developed since about 1970, has important theoretical value and several applications. In this book, the authors introduce many properties of regular functions and generalized regular functions in real Clifford analysis, as well as harmonic functions in complex Clifford analysis. It covers important developments in handling the incommutativity of multiplication in Clifford algebra, the definitions and computations of high-order singular integrals, boundary value problems, and so on. In addition, the book considers harmonic analysis and boundary value problems in four kinds of characteristic fields proposed by Luogeng Hua for complex analysis of several variables. The great majority of the contents originate in the authors’ investigations, and this new monograph will be interesting for researchers studying the theory of functions.
