Functions Of One Complex Variable Ii

Download Functions Of One Complex Variable Ii full books in PDF, epub, and Kindle. Read online Functions Of One Complex Variable Ii ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Functions of One Complex Variable

Author : J.B. Conway
Publisher : Springer Science & Business Media
ISBN 13 : 1461599725
Total Pages : 323 pages
Book Rating : 4.4/5 (615 download)

DOWNLOAD NOW!

Book Synopsis Functions of One Complex Variable by : J.B. Conway

Download or read book Functions of One Complex Variable written by J.B. Conway and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Functions of One Complex Variable

Author : J. B. Conway
Publisher :
ISBN 13 : 9781461599739
Total Pages : 328 pages
Book Rating : 4.5/5 (997 download)

DOWNLOAD NOW!

Book Synopsis Functions of One Complex Variable by : J. B. Conway

Download or read book Functions of One Complex Variable written by J. B. Conway and published by . This book was released on 1973-10-16 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Function Theory of One Complex Variable

Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 9780821839621
Total Pages : 536 pages
Book Rating : 4.8/5 (396 download)

DOWNLOAD NOW!

Book Synopsis Function Theory of One Complex Variable by : Robert Everist Greene

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.

Functions of One Complex Variable I

Author : John B. Conway
Publisher : Springer Science & Business Media
ISBN 13 : 1461263131
Total Pages : 331 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Functions of One Complex Variable I by : John B. Conway

Download or read book Functions of One Complex Variable I written by John B. Conway and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book." --MATHSCINET

Functions of One Complex Variable II

Author : John B. Conway
Publisher : Springer Science & Business Media
ISBN 13 : 1461208173
Total Pages : 404 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Functions of One Complex Variable II by : John B. Conway

Download or read book Functions of One Complex Variable II written by John B. Conway and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable, the level being gauged for graduate students. It treats several topics in geometric function theory as well as potential theory in the plane, covering in particular: conformal equivalence for simply connected regions, conformal equivalence for finitely connected regions, analytic covering maps, de Branges' proof of the Bieberbach conjecture, harmonic functions, Hardy spaces on the disk, potential theory in the plane. A knowledge of integration theory and functional analysis is assumed.

Functions of One Complex Variable I

Author : John B. Conway
Publisher : Springer Science & Business Media
ISBN 13 : 9780387903286
Total Pages : 344 pages
Book Rating : 4.9/5 (32 download)

DOWNLOAD NOW!

Book Synopsis Functions of One Complex Variable I by : John B. Conway

Download or read book Functions of One Complex Variable I written by John B. Conway and published by Springer Science & Business Media. This book was released on 1978-08-24 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book." --MATHSCINET

Theory of Functions of a Complex Variable

Author : A. I. Markushevich
Publisher : American Mathematical Soc.
ISBN 13 : 082183780X
Total Pages : 1178 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Theory of Functions of a Complex Variable by : A. I. Markushevich

Download or read book Theory of Functions of a Complex Variable written by A. I. Markushevich and published by American Mathematical Soc.. This book was released on 2005 with total page 1178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes over 150 illustrations and 700 exercises."

Elementary Theory of Analytic Functions of One or Several Complex Variables

Author : Henri Cartan
Publisher : Courier Corporation
ISBN 13 : 0486318672
Total Pages : 242 pages
Book Rating : 4.4/5 (863 download)

DOWNLOAD NOW!

Book Synopsis Elementary Theory of Analytic Functions of One or Several Complex Variables by : Henri Cartan

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.

Complex Analysis

Author : Serge Lang
Publisher : Springer Science & Business Media
ISBN 13 : 1475718713
Total Pages : 380 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!

Book Synopsis Complex Analysis by : Serge Lang

Download or read book Complex Analysis written by Serge Lang and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. Somewhat more material has been included than can be covered at leisure in one term, to give opportunities for the instructor to exercise his taste, and lead the course in whatever direction strikes his fancy at the time. A large number of routine exercises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recom mend to anyone to look through them. More recent texts have empha sized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex anal ysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues. The systematic elementary development of formal and convergent power series was standard fare in the German texts, but only Cartan, in the more recent books, includes this material, which I think is quite essential, e. g. , for differential equations. I have written a short text, exhibiting these features, making it applicable to a wide variety of tastes. The book essentially decomposes into two parts.

Analytic Functions of Several Complex Variables

Author : Robert C. Gunning
Publisher : American Mathematical Society
ISBN 13 : 1470470667
Total Pages : 334 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Analytic Functions of Several Complex Variables by : Robert C. Gunning

Download or read book Analytic Functions of Several Complex Variables written by Robert C. Gunning and published by American Mathematical Society. This book was released on 2022-08-25 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. After initial successes by Poincaré and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable. Beginning in the 1930s, initially through the work of Oka, then H. Cartan, and continuing with the work of Grauert, Remmert, and others, new tools were introduced into the theory of several complex variables that resolved many of the open problems and fundamentally changed the landscape of the subject. These tools included a central role for sheaf theory and increased uses of topology and algebra. The book by Gunning and Rossi was the first of the modern era of the theory of several complex variables, which is distinguished by the use of these methods. The intention of Gunning and Rossi's book is to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces. Fundamental concepts and techniques are discussed as early as possible. The first chapter covers material suitable for a one-semester graduate course, presenting many of the central problems and techniques, often in special cases. The later chapters give more detailed expositions of sheaf theory for analytic functions and the theory of complex analytic spaces. Since its original publication, this book has become a classic resource for the modern approach to functions of several complex variables and the theory of analytic spaces. Further information about this book, including updates, can be found at the following URL: www.ams.org/publications/authors/books/postpub/chel-368.

The Bieberbach Conjecture

Author : Albert Baernstein
Publisher : American Mathematical Soc.
ISBN 13 : 0821815210
Total Pages : 218 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis The Bieberbach Conjecture by : Albert Baernstein

Download or read book The Bieberbach Conjecture written by Albert Baernstein and published by American Mathematical Soc.. This book was released on 1986 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: For over 70 years, the Bieberbach conjecture has intrigued the mathematical world. Many students of mathematics, who have had a first course in function theory, have tried their hand at a proof. But many have invested fruitless years of carefully manipulating inequalities in an attempt to establish the correct bound. In 1977, Louis de Branges of Purdue University took up the challenge of this famous unsolved problem, but in his case the outcome was different. He will be recognized as the mathematician who proved Bieberbach's conjecture. And more importantly, his method came from totally unexpected sources: operator theory and special functions.This book, based on the Symposium on the Occasion of the Proof, tells the story behind this fascinating proof and offers insight into the nature of the conjecture, its history and its proof. A special and unusual feature of the book is the enlightened personal accounts of the people involved in the exciting events surrounding the proof. Especially attractive are the photographs of mathematicians who have made significant contributions to univalent functions, the area of complex analysis which provides the setting for the Bieberbach conjecture.Research mathematicians, especially analysts, are sure to enjoy the articles in this volume. Most articles require only a basic knowledge of real and complex analysis. The survey articles are accessible to non-specialists, and the personal accounts of all who have played a part in this important discovery will fascinate any reader. 'The remarks by de Branges himself about the discovery of his proof should be read by all young mathematicians. He describes the difficulty he had in convincing the experts in the field that a mathematician, whose work was considered to lie in an entirely different area, had actually proved a problem of such long standing. When a mathematician is sure that he has the solution of a problem, he must persist until he convinces others or is actually proved wrong' - Prepublication comments by James A. Hummel, The University of Maryland, College Park.

Functions of a Complex Variable and Some of Their Applications

Author : B. A. Fuchs
Publisher : Elsevier
ISBN 13 : 1483155056
Total Pages : 458 pages
Book Rating : 4.4/5 (831 download)

DOWNLOAD NOW!

Book Synopsis Functions of a Complex Variable and Some of Their Applications by : B. A. Fuchs

Download or read book Functions of a Complex Variable and Some of Their Applications written by B. A. Fuchs and published by Elsevier. This book was released on 2014-08-01 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions of a Complex Variable and Some of Their Applications, Volume 1, discusses the fundamental ideas of the theory of functions of a complex variable. The book is the result of a complete rewriting and revision of a translation of the second (1957) Russian edition. Numerous changes and additions have been made, both in the text and in the solutions of the Exercises. The book begins with a review of arithmetical operations with complex numbers. Separate chapters discuss the fundamentals of complex analysis; the concept of conformal transformations; the most important of the elementary functions; and the complex potential for a plane vector field and the application of the simplest methods of function theory to the analysis of such a field. Subsequent chapters cover the fundamental apparatus of the theory of regular functions, i.e. basic integral theorems and expansions in series; the general concept of an analytic function; applications of the theory of residues; and polygonal domain mapping. This book is intended for undergraduate and postgraduate students of higher technical institutes and for engineers wishing to increase their knowledge of theory.

Complex Analysis in one Variable

Author : NARASIMHAN
Publisher : Springer Science & Business Media
ISBN 13 : 1475711069
Total Pages : 282 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!

Book Synopsis Complex Analysis in one Variable by : NARASIMHAN

Download or read book Complex Analysis in one Variable written by NARASIMHAN and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a first-year graduate course I gave three times at the University of Chicago. As it was addressed to graduate students who intended to specialize in mathematics, I tried to put the classical theory of functions of a complex variable in context, presenting proofs and points of view which relate the subject to other branches of mathematics. Complex analysis in one variable is ideally suited to this attempt. Of course, the branches of mathema tics one chooses, and the connections one makes, must depend on personal taste and knowledge. My own leaning towards several complex variables will be apparent, especially in the notes at the end of the different chapters. The first three chapters deal largely with classical material which is avai lable in the many books on the subject. I have tried to present this material as efficiently as I could, and, even here, to show the relationship with other branches of mathematics. Chapter 4 contains a proof of Picard's theorem; the method of proof I have chosen has far-reaching generalizations in several complex variables and in differential geometry. The next two chapters deal with the Runge approximation theorem and its many applications. The presentation here has been strongly influenced by work on several complex variables.

Complex Variables

Author : Carlos A. Berenstein
Publisher : Springer Science & Business Media
ISBN 13 : 1461230241
Total Pages : 664 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Complex Variables by : Carlos A. Berenstein

Download or read book Complex Variables written by Carlos A. Berenstein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Textbooks, even excellent ones, are a reflection of their times. Form and content of books depend on what the students know already, what they are expected to learn, how the subject matter is regarded in relation to other divisions of mathematics, and even how fashionable the subject matter is. It is thus not surprising that we no longer use such masterpieces as Hurwitz and Courant's Funktionentheorie or Jordan's Cours d'Analyse in our courses. The last two decades have seen a significant change in the techniques used in the theory of functions of one complex variable. The important role played by the inhomogeneous Cauchy-Riemann equation in the current research has led to the reunification, at least in their spirit, of complex analysis in one and in several variables. We say reunification since we think that Weierstrass, Poincare, and others (in contrast to many of our students) did not consider them to be entirely separate subjects. Indeed, not only complex analysis in several variables, but also number theory, harmonic analysis, and other branches of mathematics, both pure and applied, have required a reconsidera tion of analytic continuation, ordinary differential equations in the complex domain, asymptotic analysis, iteration of holomorphic functions, and many other subjects from the classic theory of functions of one complex variable. This ongoing reconsideration led us to think that a textbook incorporating some of these new perspectives and techniques had to be written.

Functions of a Complex Variable

Author : Hemant Kumar Pathak
Publisher : CRC Press
ISBN 13 : 1498720161
Total Pages : 718 pages
Book Rating : 4.4/5 (987 download)

DOWNLOAD NOW!

Book Synopsis Functions of a Complex Variable by : Hemant Kumar Pathak

Download or read book Functions of a Complex Variable written by Hemant Kumar Pathak and published by CRC Press. This book was released on 2015-10-14 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions of a Complex Variable provides all the material for a course on the theory of functions of a complex variable at the senior undergraduate and beginning graduate level. Also suitable for self-study, the book covers every topic essential to training students in complex analysis. It also incorporates special topics to enhance students’ understanding of the subject, laying the foundation for future studies in analysis, linear algebra, numerical analysis, geometry, number theory, physics, thermodynamics, or electrical engineering. After introducing the basic concepts of complex numbers and their geometrical representation, the text describes analytic functions, power series and elementary functions, the conformal representation of an analytic function, special transformations, and complex integration. It next discusses zeros of an analytic function, classification of singularities, and singularity at the point of infinity; residue theory, principle of argument, Rouché’s theorem, and the location of zeros of complex polynomial equations; and calculus of residues, emphasizing the techniques of definite integrals by contour integration. The authors then explain uniform convergence of sequences and series involving Parseval, Schwarz, and Poisson formulas. They also present harmonic functions and mappings, inverse mappings, and univalent functions as well as analytic continuation.

Complex Analysis

Author : Joseph Bak
Publisher : Springer Science & Business Media
ISBN 13 : 1441972889
Total Pages : 328 pages
Book Rating : 4.4/5 (419 download)

DOWNLOAD NOW!

Book Synopsis Complex Analysis by : Joseph Bak

Download or read book Complex Analysis written by Joseph Bak and published by Springer Science & Business Media. This book was released on 2010-08-02 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unusual and lively textbook offers a clear and intuitive approach to the classical and beautiful theory of complex variables. With very little dependence on advanced concepts from several-variable calculus and topology, the text focuses on the authentic complex-variable ideas and techniques. Accessible to students at their early stages of mathematical study, this full first year course in complex analysis offers new and interesting motivations for classical results and introduces related topics stressing motivation and technique. Numerous illustrations, examples, and now 300 exercises, enrich the text. Students who master this textbook will emerge with an excellent grounding in complex analysis, and a solid understanding of its wide applicability.

Functions of Several Complex Variables and Their Singularities

Author : Wolfgang Ebeling
Publisher : American Mathematical Soc.
ISBN 13 : 0821833197
Total Pages : 334 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Functions of Several Complex Variables and Their Singularities by : Wolfgang Ebeling

Download or read book Functions of Several Complex Variables and Their Singularities written by Wolfgang Ebeling and published by American Mathematical Soc.. This book was released on 2007 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of singularities, fundamentals of differential topology, and the topology of singularities. The aim of the book is to guide the reader from the fundamentals to more advanced topics of recent research. All the necessary prerequisites are specified and carefully explained. The general theory is illustrated by various examples and applications.