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Complex Analysis by Donald E. Marshall (Hardback)
£43.99
Out of stock
Product Ref. (e.g. ISBN, SKU)
9781107134829
Published:
26 Jul 2023
Format:
Hardback
Number of pages:
286 pages
Dimensions:
261x182x18mm
Weight:
0.770kgs
Author:
This user-friendly textbook offers an introduction to complex analysis. Unlike other textbooks, it follows Weierstrass' approach, and includes several elegant proofs that were recently discovered. Classroom-tested and self-contained, it is for beginning graduate or advanced undergraduate students with a modest undergraduate real analysis background.
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.
About the Author: Donald E. Marshall is Professor of Mathematics at the University of Washington. He received his Ph.D. from University of California, Los Angeles in 1976. Professor Marshall is a leading complex analyst with a very strong research record that has been continuously funded throughout his career. He has given invited lectures in over a dozen countries. He is coauthor of the research-level monograph Harmonic Measure (Cambridge, 2005).
| Number of pages | 286 |
|---|
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