Complex Analysis

Complex Analysis

by Ian Stewart and David Tall
Epub (Kobo), Epub (Adobe)
Publication Date: 23/08/2018

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This new edition of a classic textbook develops complex analysis from the established theory of real analysis by emphasising the differences that arise as a result of the richer geometry of the complex plane. Key features of the authors' approach are to use simple topological ideas to translate visual intuition to rigorous proof, and, in this edition, to address the conceptual conflicts between pure and applied approaches head-on. Beyond the material of the clarified and corrected original edition, there are three new chapters: Chapter 15, on infinitesimals in real and complex analysis; Chapter 16, on homology versions of Cauchy's theorem and Cauchy's residue theorem, linking back to geometric intuition; and Chapter 17, outlines some more advanced directions in which complex analysis has developed, and continues to evolve into the future. With numerous worked examples and exercises, clear and direct proofs, and a view to the future of the subject, this is an invaluable companion for any modern complex analysis course.

ISBN:
9781108526463
9781108526463
Category:
Real analysis
Format:
Epub (Kobo), Epub (Adobe)
Publication Date:
23-08-2018
Language:
English
Publisher:
Cambridge University Press
Ian Stewart

Ian Stewart is Professor Emeritus of Mathematics at the University of Warwick and the author of the bestseller Professor Stewart's Cabinet of Mathematics Curiosities. His recent books include Significant Figures, Incredible Numbers, Seventeen Equations that Changed the World, Professor Stewart's Casebook of Mathematical Mysteries and Calculating the Cosmos (all published by Profile). His app, Incredible Numbers, was published jointly by Profile and Touch Press in 2014. He is a Fellow of the Royal Society.

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