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Complex Analysis (Paperback, 2nd Revised edition)
Loot Price: R1,089
Discovery Miles 10 890
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Complex Analysis (Paperback, 2nd Revised edition)
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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.
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