Rajnikant Sinha: Real and Complex Analysis

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Cover: 9789811328855 | Real and Complex Analysis | Volume 2 | Rajnikant Sinha | Buch | 2018

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Sprache: Englisch

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Beschreibung

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 complexanalysis, most of which are the work of great mathematicians of the 19th and 20th centuries.

Über den Autor

RAJNIKANT SINHA is former professor of mathematics at Magadh University, Bodh Gaya, India. A passionate mathematician, Prof. Sinha has published numerous interesting research findings in international journals and books, including Smooth Manifolds (Springer) and the contributed book Solutions to Weatherburn's Elementary Vector Analysis. His research focuses on topological vector spaces, differential geometry and manifolds.

Zusammenfassung

Discusses major topics in real and complex analysis

Includes the essential analysis that is needed for the study of functional analysis

Presents applications of complex analysis to analytic number theory

Features over 800 step-by-step, fully solved examples

Is useful to undergraduate students of mathematics and engineering

Inhaltsverzeichnis

Chapter 1. Holomorphic and Harmonic Functions.- Chapter 2. Conformal Mapping.- Chapter 3. Analytic Continuation.- Chapter 4. Special Functions.

Details

Erscheinungsjahr:	2018
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	692
Inhalt:	xi 679 S. 9 s/w Illustr. 679 p. 9 illus.
ISBN-13:	9789811328855
ISBN-10:	9811328854
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Sinha, Rajnikant
Auflage:	1st ed. 2018
Hersteller:	Springer Singapore Springer Nature Singapore
Maße:	241 x 160 x 43 mm
Von/Mit:	Rajnikant Sinha
Erscheinungsdatum:	10.12.2018
Gewicht:	1,191 kg

preigu-id: 114438709