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Complex Analysis

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Complex Analysis Cover

 

Synopses & Reviews

Publisher Comments:

Complex analysis is one of the most attractive of all the core topics in an undergraduate mathematics course. Its importance to applications means that it can be studied both from a very pure perspective and a very applied perspective. This book takes account of these varying needs and backgrounds and provides a self-study text for students in mathematics, science and engineering. Beginning with a summary of what the student needs to know at the outset, it covers all the topics likely to feature in a first course in the subject, including: complex numbers, differentiation, integration, Cauchy's theorem, and its consequences, Laurent series and the residue theorem, applications of contour integration, conformal mappings, and harmonic functions. A brief final chapter explains the Riemann hypothesis, the most celebrated of all the unsolved problems in mathematics, and ends with a short descriptive account of iteration, Julia sets and the Mandelbrot set. Clear and careful explanations are backed up with worked examples and more than 100 exercises, for which full solutions are provided.

Synopsis:

Complex analysis can be a difficult subject and many introductory texts are just too ambitious for today's students. This book takes a lower starting point than is traditional and concentrates on explaining the key ideas through worked examples and informal explanations, rather than through "dry" theory.

Table of Contents

What Do I Need to Know?- Complex Numbers.- Prelude to Complex Analysis.- Differentiation.- Complex Integration.- Cauchy's Theorem.- Some Consequences of Cauchy's Theorem.- Laurent Series and the Residue Theorem.- Applications of Contour Integration.- Further Topics.- Conformal Mappings.- Final Remarks.- Solutions to Exercises.- Bibliography.- Index.

Product Details

ISBN:
9781852337339
Author:
Howie, John M.
Publisher:
Springer
Author:
Howie
Author:
Howie, J. M.
Location:
London
Subject:
Calculus
Subject:
Mathematical Analysis
Subject:
Functional Analysis
Subject:
Functions of complex variables
Subject:
Analysis
Subject:
Complex Analysis
Subject:
Complex numbers
Subject:
Functions of a complex variable.
Subject:
Mathematics-Calculus
Copyright:
Edition Description:
2003. 2nd Print
Series:
Springer undergraduate mathematics series,
Series Volume:
no. 23
Publication Date:
20070420
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
272
Dimensions:
235 x 178 mm 1070 gr

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Related Subjects


Reference » Science Reference » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Complex Analysis
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » General
Science and Mathematics » Nature Studies » General

Complex Analysis New Trade Paper
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$56.95 In Stock
Product details 272 pages Springer - English 9781852337339 Reviews:
"Synopsis" by , Complex analysis can be a difficult subject and many introductory texts are just too ambitious for today's students. This book takes a lower starting point than is traditional and concentrates on explaining the key ideas through worked examples and informal explanations, rather than through "dry" theory.
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