Complex Analysis Cambridge Mathematical Textbooks
| 1 Edition
Author: Marshall, Donald E.
ISBN:110713482X
ISBN-13: 9781107134829
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Details about Complex Analysis Cambridge Mathematical Textbooks:
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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I teach Anatomy & Physiology as an adjunct faculty member at a local university. I also have 250+ hours of in-person and online tutoring experience. I have tutored everyone from middle schoolers to college students in math, chemistry, and biology. Tutoring is a passion that flows from my natural ability to break down complex topics into smaller pieces that anyone can understand. That's why my day job is science journalism*. Seeing the ""light bulb go on"" is what I enjoy most about tutoring. ... Read more
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