Complex Analysis (Undergraduate Texts in Mathematics) - Hardcover

Bak, Joseph; Newman, Donald J.

Hardcover

ISBN 10: 3540906150 ISBN 13: 9783540906155

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1992

Synopsis

From the reviews: "This is a book about which it is easy to be enthusiastic. It includes the matter which one looks for in an undergraduate textbook, but it also provides all sorts of topics and examples which stretch the imagination and show how useful the subject really is. The presentation, though rigorous is never stuffy. It is to be hoped that many new students will be drawn to function theory by this valuable text. Perhaps a few more references to more advanced books could with advantage be added at the end so as to encourage a student who has been stimulated to carry his reading further. The slightly sketchy bibliography of 10 books are roughly the same level is not quite worthy of the text, but this is a relatively minor blemish."

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)

From the Back Cover

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. Notable additions to "Complex Analysis, Third Edition," include: · The solution of the cubic equation and Newton’s method for approximating the zeroes of any polynomial; · Expanded treatments of the Schwarz reflection principle and of the mapping properties of analytic functions on closed domains; · An introduction to Schwarz-Christoffel transformations and to Dirichlet series; · A streamlined proof of the prime number theorem, and more. 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.

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1992
• Language: English
• ISBN 10: 3540906150
• ISBN 13: 9783540906155
• Binding: Hardcover
• Number of pages: 254