About this product

Product Identifiers

PublisherSpringer

ISBN-100387947566

ISBN-139780387947563

eBay Product ID (ePID)159999

Product Key Features

Number of PagesX, 294 Pages

Publication NameComplex Analysis

LanguageEnglish

SubjectComplex Analysis, Mathematical Analysis

Publication Year1999

FeaturesRevised

TypeTextbook

Subject AreaMathematics

AuthorJoseph Bak, D. J. Newman

SeriesUndergraduate Texts in Mathematics

FormatHardcover

Dimensions

Item Height0.8 in

Item Weight21.2 Oz

Item Length9.5 in

Item Width6.2 in

Additional Product Features

Edition Number2

Intended AudienceCollege Audience

LCCN96-012475

Dewey Edition22

IllustratedYes

Dewey Decimal515.9

Edition DescriptionRevised edition

Table Of ContentPreface; 1. The Complex Numbers; 2. Functions of the Complex Variable z; 3. Analytic Functions; 4. Line Integrals and Entire Functions; 5. Properties of Entire Functions; 6. Properties of Analytic Functions; 7. Further Properties of Analytic Functions; 8. Simply Connected Domains; 9. Isolated Sigularities of an Analytic Function; 10. The Residue Theorem; 11. Applications of The Residue Theorem to the Evaluation of Integrals Sums; 12. Further Contour Integral Techniques; 13. Introduction to Conformal Mapping; 14. The Riemann Mapping Theorem; 15. Maximum-Modulus Theorems for Unbounded Domains; 16. Harmonic Functions; 17. Different Forms of Analytic Functions; 18. Analytic Continuation; The Gamma and Zeta Functions; 19. Applications to Other Areas of Mathematics; Appendices; Answers; Bibliography; Index

SynopsisThis unusually lively textbook introduces the theory of analytic functions, explores its diverse applications and shows the reader how to harness its powerful techniques. The book offers new and interesting motivations for classical results and introduces related topics that do not appear in this form in other texts. For the second edition, the authors have revised some of the existing material and have provided new exercises and solutions., This unusually lively textbook on complex variables introduces the theory of analytic functions, explores its diverse applications and shows the reader how to harness its powerful techniques. Complex Analysis offers new and interesting motivations for classical results and introduces related topics that do not appear in this form in other texts. Stressing motivation and technique, and containing a large number of problems and their solutions, this volume may be used as a text both in classrooms and for self-study. Topics covered include: The complex numbers; functions of a complex variable; analytic functions; line integrals and entire functions; properties of entire functions and of analytic functions; simply connected domains; isolated singularities; the residue theorem and applications; contour integral techniques; conformal mapping and the riemann mapping theorem; maximum-modulus theorems for unbounded domains; harmonic functions; forms of analytic functions; analytic continuation; the gamma and zeta functions; application to other areas of mathematics. For this second edition, the authors have revised some of the existing material and have provided new exercises and solution

LC Classification NumberQA331.7.B35 1997