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Complex analysis / Donald E. Marshall

By: Material type: TextTextPublication details: India Cambridge University Press 2019Description: 272 pISBN:
  • 9781107134829
Subject(s): DDC classification:
  • 515.9 MAR-D
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Holdings
Item type Current library Collection Shelving location Call number Status Date due Barcode Item holds
Books Books BITS Pilani Hyderabad 510 General Stack (For lending) 515.9 MAR-D (Browse shelf(Opens below)) Available 41348
Total holds: 0

This user-friendly textbook introduces complex analysis at the beginning graduate or advanced undergraduate level. Unlike other textbooks, it follows Weierstrass' approach, stressing the importance of power series expansions instead of starting with the Cauchy integral formula, an approach that illuminates many important concepts. This view allows readers to quickly obtain and understand many fundamental results of complex analysis, such as the maximum principle, Liouville's theorem, and Schwarz's lemma. The book covers all the essential material on complex analysis, and includes several elegant proofs that were recently discovered. It includes the zipper algorithm for computing conformal maps, as well as a constructive proof of the Riemann mapping theorem, and culminates in a complete proof of the uniformization theorem. Aimed at students with some undergraduate background in real analysis, though not Lebesgue integration, this classroom-tested textbook will teach the skills and intuition necessary to understand this important area of mathematics.

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