Complex Analysis (Undergraduate Texts in Mathematics)

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9781441972873: Complex Analysis (Undergraduate Texts in Mathematics)
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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)

Vom Verlag:

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.

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Bak, Joseph; Newman, Donald J.
Verlag: Springer-Verlag Gmbh Aug 2010 (2010)
ISBN 10: 1441972870 ISBN 13: 9781441972873
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Buchbeschreibung Springer-Verlag Gmbh Aug 2010, 2010. Buch. Buchzustand: Neu. 243x155x30 mm. Neuware - 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 solutions. 320 pp. Englisch. Artikel-Nr. 9781441972873

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