Full name: Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable

Author: Lars V. Ahlfors Rank: Rating: Original Rating: Pop Rating: Genres/categories: Purchase/reserch links: LibraryThing Amazon Goodreads ISBNs: 9780070006577 0070006571

A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals. Similar books: Visual Complex Analysis by Tristan Needham Real and Complex Analysis by Walter Rudin Mathematical Analysis by Tom M. Apostol Counterexamples in Analysis by Bernard R. Gelbaum Calculus On Manifolds by Michael Spivak Principles of Mathematical Analysis by Walter Rudin How to Think About Analysis by Lara Alcock Mathematics by Keith Devlin Anno's Math Games by Mitsumasa Anno The Adventures of Penrose the Mathematical Cat by Theoni Pappas A Course of Pure Mathematics by G. H. Hardy Meta Math! by Gregory Chaitin Mathematics and the Search for Knowledge by Morris Kline Stalking the Riemann Hypothesis by Dan Rockmore Wonders of Numbers by Clifford A. Pickover