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.
By:
Ian Stewart, David Tall Imprint: Cambridge University Press Country of Publication: United Kingdom Edition: 2nd Revised edition Dimensions:
Height: 247mm,
Width: 175mm,
Spine: 20mm
Weight: 820g ISBN:9781108436793 ISBN 10: 110843679X Pages: 330 Publication Date:23 August 2018 Audience:
College/higher education
,
Primary
Format:Paperback Publisher's Status: Active
