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Rotman&Humphreys Graduate/undergraduate Texts in mathematics& Armstrong Topology

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Item specifics

Condition
Acceptable: A book with obvious wear. May have some damage to the cover but integrity still intact. ...
Subject Area
Mathematical Analysis
Educational Level
Adult & Further Education
Level
Intermediate, Advanced
Subject
Mathematics
ISBN
9780387747149

About this product

Product Identifiers

Publisher
Springer
ISBN-10
0387747141
ISBN-13
9780387747149
eBay Product ID (ePID)
63122922

Product Key Features

Number of Pages
Xiv, 220 Pages
Language
English
Publication Name
Complex Analysis : in the Spirit of Lipman Bers
Subject
Functional Analysis, Calculus, Mathematical Analysis, Complex Analysis
Publication Year
2008
Type
Textbook
Subject Area
Mathematics
Author
Rubi E. Rodriguez, Jane P. Gilman, Irwin Kra
Series
Graduate Texts in Mathematics Ser.
Format
Hardcover

Dimensions

Item Weight
18.6 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
Dewey Edition
22
Reviews
From the reviews:"This is a fairly conventional text for a first course in complex analysis. It is an interesting mix of the concrete and the abstract, and of the formulaic and the geometric. It has good exercises … . It is nominally a graduate text (it is in Springer's series of Graduate Texts in Mathematics) … . The book covers all the usual topics for a first course and includes a lot of advanced topics … ." (Allen Stenger, MathDL, February, 2008)"This book is based on the original courses of Complex Analysis that was delivered by the well-known American specialist and lecturer in Analysis, Professor Lipman Bers. … the book is written in a clear and easily readable manner. … this book is useful for all specialists and lecturers in Complex Analysis … and also all specialists who deal with applications of Complex Analysis. I also recommend this book to beginners who want to study Complex Analysis … ." (Peter Zabreiko, Zentralblatt MATH, Vol. 1139 (17), 2008)An introduction to complex analysis based on original lectures by Lipman Bers … . the whole text is clearly suitable as a first course in complex analysis. … In addition, it contains many exercises and a brief guide to the literature. (G. Teschl, Monatshefte für Mathematik, Vol. 156 (4), April, 2009)
Series Volume Number
245
Illustrated
Yes
Dewey Decimal
515.9
Table Of Content
Preface.- Standard notation and commonly used symbols.- The fundamental theorem in complex function theory.- Foundations.- Power series.- The cauchy theory-a fundamental theorem.- The cauchy theory-key consequences.- Cauchy theory: local behavior and singularities of holomorphic functions.- Sequences and series of holomorphic functions.- Conformal equivalence.- Harmonic functions.- Zeros of holomorphic functions.- Bibliographical notes.- Bibliography.- Index
Synopsis
This text presents a concise treatment of those parts of complex analysis that should be familiar to every research mathematician. It follows a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable., Organizing the basic material of complex analysis in a unique manner, the authors of this versatile book aim is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician., The authors' aim is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician. They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a leisure exploration of interesting consequences and applications. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra. No background in complex analysis is required.
LC Classification Number
QA331.7

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