About the book
This userfriendly 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, 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 classroomtested textbook will teach the skills and intuition necessary to understand this important area of mathematics.
Editions of Cambridge Mathematical Textbooks: Complex Analysis
- Hardcover
- ISBN 9781107134829
Read an Excerpt
This userfriendly 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, 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 classroomtested textbook will teach the skills and intuition necessary to understand this important area of mathematics.
Frequently Asked Questions
What is Cambridge Mathematical Textbooks: Complex Analysis about?
This userfriendly 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, 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 classroomtested textbook will teach the skills and intuition necessary to understand this important area of mathematics.
What core themes, tropes, or subjects are explored in Cambridge Mathematical Textbooks: Complex Analysis?
Mathematics and Science > Mathematics > Calculus and mathematical analysis > Real analysis, real variables
Where can I read a sample of Cambridge Mathematical Textbooks: Complex Analysis?
You can read an official preview of the few pages here https://www.book2look.com/book/9781107134829
Who is/are the Author/s of the book Cambridge Mathematical Textbooks: Complex Analysis?
Donald E. Marshall
What are the ISBN numbers for the physical and digital editions?
Cambridge Mathematical Textbooks: Complex Analysis is available as hardcover(ISBN 9781107134829)