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portada Real and Complex Analysis: Volume 1
Type
Physical Book
Publisher
Author
Year
2018
Language
English
Pages
637
Format
Hardcover
ISBN13
9789811309373
Edition No.
1
Categories

Real and Complex Analysis: Volume 1

Rajnikant Sinha (Author) · Springer · Hardcover

Real and Complex Analysis: Volume 1 - Rajnikant Sinha

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Synopsis "Real and Complex Analysis: Volume 1 "

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.

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