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Reell analys, reella variabler

Format: Inbunden (Hardback)
Språk: Engelska
Serie: Cambridge Mathematical Textbooks
Antal sidor: 286
Utgivningsdatum: 2019-03-07
Förlag: Cambridge University Press
Dimensioner: 257 x 208 x 18 mm
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ISBN: 9781107134829

Complex Analysis

Name: Complex Analysis
Price: 592.00 SEK
Availability: InStock
Author: Donald E Marshall, Donald E Marshall, Donald E Marshall
ISBN: 9781107134829

av Donald E Marshall, Donald E Marshall, Donald E Marshall

Inbunden, Engelska, 2019-03-07

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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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Harmonic Measure

John B Garnett, Donald E Marshall, John B Garnett, Donald E Marshall

During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of these results and an introduction to the branch of analysis which contains them. Many of...

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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).