Real and complex analysis: Volume 2 / Rajnikant Sinha

By:

Sinha, Rajnikant [author.]

Material type: Text

TextPublication details: Singapore Springer 2018Description: xi, 679 p, 25 cmISBN:

9789811328855 (hbk.)

Other title:

Real and complex analysis: Volume II

Subject(s):

DDC classification:

515 SIN

Summary: This is the second volume of the two-volume book on real and complex analysis. This volume is an introduction to the theory of holomorphic functions. Multivalued functions and branches have been dealt carefully with the application of the machinery of complex measures and power series. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into four chapters, it discusses holomorphic functions and harmonic functions, Schwarz reflection principle, infinite product and the Riemann mapping theorem, analytic continuation, monodromy theorem, prime number theorem, and Picard's little theorem. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work of great mathematicians of the 19th and 20th centuries.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Books	H.T. Parekh Library	SIAS Collection	515 SIN (Browse shelf(Opens below))	Available		K3425

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Previous	515 RUD Real and complex analysis /	515 SHE Calculus: pure and applied /	515 SIN Real and complex analysis: Volume 1 /	515 SIN Real and complex analysis: Volume 2 /	515 SPI Calculus on manifolds: a modern approach to classical theorems of advanced calculus /	515 STE Complex analysis /	515 TAO Analysis II /	Next

Euro 59.99
AT/3010236/72

This is the second volume of the two-volume book on real and complex analysis. This volume is an introduction to the theory of holomorphic functions. Multivalued functions and branches have been dealt carefully with the application of the machinery of complex measures and power series. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into four chapters, it discusses holomorphic functions and harmonic functions, Schwarz reflection principle, infinite product and the Riemann mapping theorem, analytic continuation, monodromy theorem, prime number theorem, and Picard's little theorem. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work of great mathematicians of the 19th and 20th centuries.

Description based on publisher-supplied MARC data.

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