Complex Analysis: In the Spirit of Lipman Bers: Second Edition
Rodríguez, Rubí E., Kra, Irwin, Gilman, Jane P.
Main subject categories: • Complex analysis • Complex function theory • Foundations • Power series • The Cauchy theory • Sequences and series of holomorphic functions • Hyperbolic geometry • Harmonic functions
The authors' aim here is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician. They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a leisure exploration of interesting consequences and applications. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra. No background in complex analysis is required.
श्रेणियाँ:
खंड:
245
साल:
2013
संस्करण:
2
प्रकाशन:
Springer, Springer Science+Business Media
भाषा:
english
पृष्ठ:
319
ISBN 10:
1441973222
ISBN 13:
9781441973221
ISBN:
B00FBQUNKK
श्रृंखला:
Graduate Texts in Mathematics [GTM]
फ़ाइल:
PDF, 3.03 MB
IPFS:
,
english, 2013