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| Author | : Francis J. Flanigan |
| Publisher | : Courier Corporation |
| Total Pages | : 386 |
| Release | : 1983-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486613887 |
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 | : |
| Total Pages | : 376 |
| Release | : 1972 |
| Genre | : Analytic functions |
| ISBN | : |
| Author | : Carlos A. Berenstein |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 491 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461384451 |
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 | : 424 |
| Release | : 2017-09-20 |
| Genre | : Mathematics |
| ISBN | : 3319632310 |
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 | : Henri Cartan |
| Publisher | : Courier Corporation |
| Total Pages | : 242 |
| Release | : 2013-04-22 |
| Genre | : Mathematics |
| ISBN | : 0486318672 |
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 | : Luogeng Hua |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 192 |
| Release | : 1963-12-31 |
| Genre | : Mathematics |
| ISBN | : 0821815563 |
| Author | : Stephen D. Fisher |
| Publisher | : Courier Corporation |
| Total Pages | : 450 |
| Release | : 1999-02-16 |
| Genre | : Mathematics |
| ISBN | : 0486406792 |
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 | : Lev Izrailevich Volkovyski? |
| Publisher | : Courier Corporation |
| Total Pages | : 450 |
| Release | : 1991-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486669130 |
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 | : J.B. Conway |
| Publisher | : Springer |
| Total Pages | : 336 |
| Release | : 1973-10-16 |
| Genre | : Mathematics |
| ISBN | : |
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 | : Henri Cartan |
| Publisher | : Courier Corporation |
| Total Pages | : 242 |
| Release | : 1995-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486685438 |
Basic treatment of the theory of analytic functions of a complex variable, touching on analytic functions of several real or complex variables as well as the existence theorem for solutions of differential systems where data is analytic. Also included is a theory of abstract complex manifolds of one complex dimension; holomorphic functions; Cauchy's integral, more. Exercises. 1973 edition.
