Complex Variables Harmonic And Analytic Functions PDF Download
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Author | : Francis J. Flanigan |
Publisher | : Courier Corporation |
Total Pages | : 386 |
Release | : 1983-01-01 |
Genre | : Mathematics |
ISBN | : 0486613887 |
Download Complex Variables Book in PDF, ePub and Kindle
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 | : Carlos A. Berenstein |
Publisher | : Springer Science & Business Media |
Total Pages | : 491 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461384451 |
Download Complex Analysis and Special Topics in Harmonic Analysis Book in PDF, ePub and Kindle
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 | : Steven G. Krantz |
Publisher | : Springer |
Total Pages | : 429 |
Release | : 2017-09-20 |
Genre | : Mathematics |
ISBN | : 3319632310 |
Download Harmonic and Complex Analysis in Several Variables Book in PDF, ePub and Kindle
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 | : Luogeng Hua |
Publisher | : American Mathematical Soc. |
Total Pages | : 192 |
Release | : 1963-12-31 |
Genre | : Mathematics |
ISBN | : 0821815563 |
Download Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains Book in PDF, ePub and Kindle
Author | : Henri Cartan |
Publisher | : Courier Corporation |
Total Pages | : 242 |
Release | : 2013-04-22 |
Genre | : Mathematics |
ISBN | : 0486318672 |
Download Elementary Theory of Analytic Functions of One or Several Complex Variables Book in PDF, ePub and Kindle
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 | : Stephen D. Fisher |
Publisher | : Courier Corporation |
Total Pages | : 450 |
Release | : 2012-04-25 |
Genre | : Mathematics |
ISBN | : 0486134849 |
Download Complex Variables Book in PDF, ePub and Kindle
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 | : J.B. Conway |
Publisher | : Springer |
Total Pages | : 336 |
Release | : 1973-10-16 |
Genre | : Mathematics |
ISBN | : |
Download Functions of One Complex Variable Book in PDF, ePub and Kindle
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 | : Lev Izrailevich Volkovyski? |
Publisher | : Courier Corporation |
Total Pages | : 450 |
Release | : 1991-01-01 |
Genre | : Mathematics |
ISBN | : 0486669130 |
Download A Collection of Problems on Complex Analysis Book in PDF, ePub and Kindle
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 | : Lars Ahlfors |
Publisher | : |
Total Pages | : 352 |
Release | : 1979 |
Genre | : Education |
ISBN | : |
Download Complex Analysis Book in PDF, ePub and Kindle
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 | : Robert B. Ash |
Publisher | : Courier Corporation |
Total Pages | : 226 |
Release | : 2007-01-01 |
Genre | : Mathematics |
ISBN | : 0486462501 |
Download Complex Variables Book in PDF, ePub and Kindle
This text on complex variables is geared toward graduate students and undergraduates who have taken an introductory course in real analysis. It is a substantially revised and updated edition of the popular text by Robert B. Ash, offering a concise treatment that provides careful and complete explanations as well as numerous problems and solutions. An introduction presents basic definitions, covering topology of the plane, analytic functions, real-differentiability and the Cauchy-Riemann equations, and exponential and harmonic functions. Succeeding chapters examine the elementary theory and the general Cauchy theorem and its applications, including singularities, residue theory, the open mapping theorem for analytic functions, linear fractional transformations, conformal mapping, and analytic mappings of one disk to another. The Riemann mapping theorem receives a thorough treatment, along with factorization of analytic functions. As an application of many of the ideas and results appearing in earlier chapters, the text ends with a proof of the prime number theorem.