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...
This new edition of a classic textbook develops complex analysis using simple topological ideas to translate visual intuition into formal arguments. With numerous examples and exercises, clear and direct proofs, and three new chapters including a view to the future of the subject, this is an invaluable companion for any complex analysis course.
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...
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Paperback. Condition: new. Paperback. 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. This new edition of a classic textbook develops complex analysis using simple topological ideas to translate visual intuition into formal arguments. With numerous examples and exercises, clear and direct proofs, and three new chapters including a view to the future of the subject, this is an invaluable companion for any complex analysis course. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781108436793
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