Real and Complex Analysis - Volume 1 (Hardcover, 1st ed. 2018)

This is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Riesz representation theorem is used to construct Lebesgue measure. 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 three chapters, it discusses exponential and measurable functions, Riesz representation theorem, Borel and Lebesgue measure, -spaces, Riesz-Fischer theorem, Vitali-Caratheodory theorem, the Fubini theorem, and Fourier transforms. 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.

General

Imprint:	Springer Verlag, Singapore
Country of origin:	Singapore
Release date:	November 2018
First published:	2018
Authors:	Rajnikant Sinha
Dimensions:	235 x 155 x 39mm (L x W x T)
Format:	Hardcover
Pages:	637
Edition:	1st ed. 2018
ISBN-13:	978-981-13-0937-3
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
LSN:	981-13-0937-X
Barcode:	9789811309373

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