Complex analysis : (the hitch hiker's guide to the plane) / Ian Stewart, David Tall, University of Warwick.
Material type: TextPublisher: Cambridge ; New York, NY : Cambridge University Press, 2018Edition: Second editionDescription: xiii, 389 pages : illustrations ; 25 cmContent type:- text
- unmediated
- volume
- 9781108436793
- Hitch hiker's guide to the plane
- QA 331 .St49 2018
Item type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|---|
Books | DLSU-D GRADUATE STUDIES Graduate Studies | Graduate Studies | QA 331 .St49 2018 (Browse shelf(Opens below)) | 1 | Available | 3CIR2019068115 |
Includes bibliographical references (page 382) and index.
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. -- From the Publisher
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