Complex Analysis (Undergraduate Texts in Mathematics) - Hardcover

Bak, Joseph; Newman, Donald J.

Hardcover

ISBN 10: 0387947566 ISBN 13: 9780387947563

Publisher: Springer-Verlag New York Inc., 1996

Synopsis

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; and 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 solutions.

About this title

Review

From the reviews of the third edition:

“The book of the known mathematicians J. Bak and D. Newman is an excellent introduction into the theory of analytic functions of one complex variable. The book is written on an elementary level and so it supports students in the early stages of their mathematical studies. ... The book also contains many illustrations, examples and exercises, which give additional information and explanations.” (Konstantin Malyutin, Zentralblatt MATH, Vol. 1205, 2011)

Synopsis

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; and 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 solutions.

Edition details

• Publisher: Springer-Verlag New York Inc.
• Publication date: 1996
• ISBN 10: 0387947566
• ISBN 13: 9780387947563
• Binding: Hardcover
• Language: English
• Edition number: 2
• Number of pages: 322