Complex Analysis

Paperback / softback

Main Details

Title Complex Analysis
Authors and Contributors      By (author) Ian Stewart
By (author) David Tall
Physical Properties
Format:Paperback / softback
Pages:402
Dimensions(mm): Height 247,Width 175
Category/GenreGeometry
ISBN/Barcode 9781108436793
ClassificationsDewey:515.9
Audience
Tertiary Education (US: College)
Edition 2nd Revised edition
Illustrations Worked examples or Exercises; 2 Tables, black and white; 4 Halftones, black and white; 191 Line drawings, black and white

Publishing Details

Publisher Cambridge University Press
Imprint Cambridge University Press
Publication Date 23 August 2018
Publication Country United Kingdom

Description

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.

Author Biography

Ian Stewart, FRS, is Emeritus Professor of Mathematics at the University of Warwick. He is author or co-author of over 190 research papers and is the bestselling author of over 120 books, from research monographs and textbooks to popular science and science fiction. His awards include the Royal Society's Faraday Medal, the Institute of Mathematics and its Applications (IMA) Gold Medal, the American Association for the Advancement of Science (AAAS) Public Understanding of Science Award, the London Mathematical Society (LMS)/IMA Zeeman Medal, the Lewis Thomas Prize, and the Euler Book Prize. He is an honorary wizard of the Discworld's Unseen University. David Tall is Emeritus Professor of Mathematical Thinking at the University of Warwick and is known internationally for his contributions to mathematics education. He is author or co-author of over 200 papers and 40 books and educational computer software, covering all levels from early childhood to research mathematics.