Real and Complex Analysis: Volume 2 - Tapa dura

Sinha, Rajnikant

 
9789811328855: Real and Complex Analysis: Volume 2
Tapa dura
ISBN 10: 9811328854 ISBN 13: 9789811328855
Editorial: Springer, 2018

Sinopsis

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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Acerca del 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.

De la contraportada

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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Editorial
Springer
Año de publicación
2018
Idioma
Inglés
ISBN 10 
9811328854
ISBN 13 
9789811328855
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
692
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

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Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9789811328879: Real and Complex Analysis: Volume 2

Edición Destacada

ISBN 10:  9811328870 ISBN 13:  9789811328879
Editorial: Springer, 2019
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