#### Author:

Robert E. Greene,Steven G. Krantz

#### Language:

#### Category:

#### Subcategory:

#### ePub size:

1445 kb

#### Other formats:

lit rtf docx lrf

#### Rating:

4.2

#### Publisher:

Wiley-Interscience; 1 edition (April 11, 1997)

#### Pages:

512

#### ISBN:

0471804681

# Function Theory of One Complex Variable e-book

#### by Robert E. Greene,Steven G. Krantz

Compares and contrasts complex variable theory with real variable theory. Provides especially thorough exercise sets.

Compares and contrasts complex variable theory with real variable theory. Features many examples as well as 75 illustrations. ROBERT E. GREENE is a professor in the Department of Mathematics at the University of California at Los Angeles.

Krantz's book on the geometry of complex domains, written jointly with Robert E. Greene and Kang-Tae Kim . Greene and Kang-Tae Kim, appeared in 2011. Krantz's monographs include Function Theory of Several Complex Variables, Complex Analysis: The Geometric Viewpoint, A Primer of Real Analytic Functions (joint with Harold R. Parks), The Implicit Function Theorem (joint with Harold Parks), Geometric Integration Theory (joint with Harold Parks), and The Geometry of Complex Domains (joint with Kang-Tae Kim and Robert E. Greene).

THIRD Robert Ε. Greene Steven G. Krantz Graduate Studies in Mathematics Volume 40 American . Krantz Graduate Studies in Mathematics Volume 40 American Mathematical Society. Primary 30-01; Secondary 30-02, 30-03.

Robert E Greene Steve. aperback. P STEVEN G. KRANTZ is a professor in the Department of Mathematics at Washington University in St. Louis, Missouri. Function Theory of One Complex Variable (Graduate Studies in Mathematics, 40). Greene.

This book presents a new approach to one of mathematics' oldest fields. Compares and contrasts complex variable theory with real variable theory. Krantz Los Angeles and St. Louis. It departs from the tradition of teaching complex analysis as a self-contained subject and, instead, treats the subject as a natural development from calculus. ACKNOWLEDGEMENTS Over the years, a number of students, friends, and colleagues have used or read drafts of this text.

Электронная книга "Function Theory of One Complex Variable", Robert Everist Greene, Steven George Krantz. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Function Theory of One Complex Variable" для чтения в офлайн-режиме.

This volume connects complex analysis with calculus, algebra, geometry, topology, and analysis. Exercises and illustrations are provided throughout the text. Also included is information on Bergman Kernal and two boundary behaviour of conformal mappings.

Robert E. Greene (author), Steven G. Krantz (author). This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples and exercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem, and the Bergman kernel.

AMS Graduate Studies in Mathematics 40, 1997. Complex function theory has, of course, long been an independently flourishing field. but the easiest path into the subject is to observe how at least its rudiments arise directly from ideas about calculus with which the student will already be familiar.

This book presents a new approach to one of mathematics' oldest fields. It departs from the tradition of teaching complex analysis as a self-contained subject and, instead, treats the subject as a natural development from calculus. It also shows how complex analysis is used in other areas, exploring connections with calculus, algebra, geometry, topology, and other parts of analysis.

The authors provide the ideal framework for a first-year graduate course in complex analysis—building upon ideas the student is already familiar with and simplifying the transition to advanced topics. The book is also for those using complex numbers and functions in applied fields, including engineering, physics, and other areas.

Function Theory of One Complex Variable

Compares and contrasts complex variable theory with real variable theory Clarifies analytical ideas belonging to complex analysis by separating them from topological issues Discusses some of the current research in the field, including a number of interesting topics not discussed in other textbooks Features many examples as well as 75 illustrations Provides especially thorough exercise sets