Real and Complex Analysis

Volume 2

Rajnikant Sinha (Autor)

Buch | Hardcover

679 Seiten

2018 | 2018 ed.
Springer Verlag, Singapore
978-981-13-2885-5 (ISBN)

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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.

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.

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

Erscheinungsdatum	04.01.2019
Zusatzinfo	9 Illustrations, black and white; XI, 679 p. 9 illus.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	analytic continuation • conformal mapping • Euler’s Constant • Harmonic Functions • Holomorphic Functions • Laurent Series • Riemann hypothesis
ISBN-10	981-13-2885-4 / 9811328854
ISBN-13	978-981-13-2885-5 / 9789811328855
Zustand	Neuware