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Book Cover
Author Stewart, Ian, 1945- author.

Title Complex analysis : the hitch hiker's guide to the plane / Ian Stewart (University of Warwick), David Tall (Mathematics Institute)
Edition Second edition
Published Cambridge : Cambridge University Press, 2018


Description 1 online resource (402 pages)
Summary 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
Notes Vendor-supplied metadata
Subject Functions of complex variables.
Numbers, Complex.
Geometry, Analytic -- Plane.
Functions of complex variables
Geometry, Analytic -- Plane
Numbers, Complex
Form Electronic book
Author Tall, David Orme, author
ISBN 9781108505468