Bak / Newman Complex Analysis

3rd Auflage 2010
ISBN: 978-1-4419-7288-0
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 340 Seiten, eBook

Reihe: Undergraduate Texts in Mathematics

This 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.

The third edition contains a new section on Schwarz–Christoffel mappings, an improved treatment of the Schwarz Reflection Principle, and an expanded section on applications to number theory.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Bak, Joseph

Newman, Donald J.

Inhaltsverzeichnis

The Complex Numbers.- Functions of the Complex Variable z.- Analytic Functions.- Line Integrals and Entire Functions.- Properties of Entire Functions.- Properties of Analytic Functions.- Further Properties of Analytic Functions.- Simply Connected Domains.- Isolated Singularities of an Analytic Function.- The Residue Theorem.- Applications of the Residue Theorem to the Evaluation of Integrals and Sums.- Further Contour Integral Techniques.- to Conformal Mapping.- The Riemann Mapping Theorem.- Maximum-Modulus Theorems for Unbounded Domains.- Harmonic Functions.- Different Forms of Analytic Functions.- Analytic Continuation; The Gamma and Zeta Functions.- Applications to Other Areas of Mathematics.

Über Autor(innen)

Dr. Joseph Bak is the Assistant Chair of the Mathematics department at The City College of New York. Joseph Bak's primary area of research is approximation theory. Dr. Donald J. Newman (July 27, 1930 - March 28, 2007) was a champion problem solver. His mathematical specialties included complex analysis, approximation theory and number theory. His career included posts as a Professor of Mathematics at MIT, Brown University, Yeshiva University, Temple University and a distinguished chair at Bar Ilan University in Israel. His publications include 150 papers and five books.