Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable
- ISBN-10
- 1259064824
- ISBN-13
- 9781259064821
- Series
- Complex Analysis
- Category
- Analytic functions
- Pages
- 331
- Language
- English
- Published
- 2013
- Author
- Lars Valerian Ahlfors
Description
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.
Get the book
Other editions
Similar books
-
Boundary Behavior of Holomorphic Functions of Several Complex Variables
By Elias M. SteinThis book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now coming to the forefront of mathematical analysis.
-
Special Chapters in the Theory of Analytic Functions of Several Complex Variables
By B. A. FuksSpecial Chapters in the Theory of Analytic Functions of Several Complex Variables
-
Introduction to the Theory of Analytic Functions of Several Complex Variables
By B. A. FuksIntroduction to the Theory of Analytic Functions of Several Complex Variables
-
A Primer of Real Analytic Functions
By Steven George Krantz, Harold R. ParksThe theory of real analytic functions is the wellspring of mathe matical analysis. It is remarkable that this is the first book on the subject, and we want to keep it up to date and as correct as possible.
-
Topics in Complex Analysis and Operator Theory: Third Winter School in Complex Analysis and Operator Theory, February 2-5, 2010, Universidad...
By Oscar BlascoH. Grauert, On Levi's problem and the imbedding of real analytic manifolds, Ann. of Math. 68 (1958), 460–472. ... MR0320743 (47:9277) S. Krantz, H. R. Parks, A Primer of Real Analytic Functions, Birkhäuser, Basel 1992.
-
An Introduction to Complex Analysis in Several Variables
By Lars HörmanderAn Introduction to Complex Analysis in Several Variables
-
Catherine Beneteau, Alberto A. Condori, Constanze Liaw, William T. Ross, and Alan A. Sola
By William T. Ross, Catherine Bénéteau:, Alberto A. Condori... Rational Points, Rational Curves, and Entire Holomorphic Curves on Projective Varieties, 2015 Mark L. Agranovsky, Matania Ben-Artzi, Greg Galloway, Lavi Karp, Dmitry Khavinson, Simeon Reich, Gilbert Weinstein, and Lawrence Zalcman ...
-
Translations of Mathematical Monographs
This book treats spherical harmonic expansion of real analytic functions and hyperfunctions on the sphere.
-
The Knife and the Butterfly: A Story of a Jungian Analysis
By Naomi LloydThis book is a truly original account of a therapeutic journey.