Del 23
Del i serien Graduate Studies in Mathematics
Introduction to Complex Analysis
Häftad, Engelska, 2019
1 379 kr
Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.
In this text, the reader will learn that all the basic functions that arise in calculus--such as powers and fractional powers, exponentials and logs, trigonometric functions and their inverses, as well as many new functions that the reader will meet--are naturally defined for complex arguments. Furthermore, this expanded setting leads to a much richer understanding of such functions than one could glean by merely considering them in the real domain. For example, understanding the exponential function in the complex domain via its differential equation provides a clean path to Euler's formula and hence to a self-contained treatment of the trigonometric functions. Complex analysis, developed in partnership with Fourier analysis, differential equations, and geometrical techniques, leads to the development of a cornucopia of functions of use in number theory, wave motion, conformal mapping, and other mathematical phenomena, which the reader can learn about from material presented here.This book could serve for either a one-semester course or a two-semester course in complex analysis for beginning graduate students or for well-prepared undergraduates whose background includes multivariable calculus, linear algebra, and advanced calculus.
Produktinformation
- Utgivningsdatum2019-01-31
- FormatHäftad
- SpråkEngelska
- SerieGraduate Studies in Mathematics
- Antal sidor480
- FörlagAmerican Mathematical Society
- ISBN9781470463755
Tillhör följande kategorier
Hoppa över listan
Mer från samma serie
Lectures on Elliptic and Parabolic Equations in Holder Spaces
American Mathematical Society
Inbunden, 1996
1 539 kr