This book concisely addresses the classical results of the field, emphasizes the beauty, power, and counterintuitive nature of the subject, and moves the notion of power series front and center, giving readers a primary tool to deal with problems from modern function theory. Num Pages: 280 pages, illustrations. BIC Classification: PBKD. Category: (P) Professional & Vocational. Dimension: 243 x 164 x 25. Weight in Grams: 624.

A thorough introduction to the theory of complex functions emphasizing the beauty, power, and counterintuitive nature of the subject

Written with a reader-friendly approach, Complex Analysis: A Modern First Course in Function Theory features a self-contained, concise development of the fundamental principles of complex analysis. After laying groundwork on complex numbers and the calculus and geometric mapping properties of functions of a complex variable, the author uses power series as a unifying theme to define and study the many rich and occasionally surprising properties of analytic functions, including the Cauchy theory and residue theorem. The book concludes with a treatment of harmonic ... Read morefunctions and an epilogue on the Riemann mapping theorem.

Thoroughly classroom tested at multiple universities, Complex Analysis: A Modern First Course in Function Theory features:

• Plentiful exercises, both computational and theoretical, of varying levels of difficulty, including several that could be used for student projects
• Numerous figures to illustrate geometric concepts and constructions used in proofs
• Remarks at the conclusion of each section that place the main concepts in context, compare and contrast results with the calculus of real functions, and provide historical notes
• Appendices on the basics of sets and functions and a handful of useful results from advanced calculus