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Real and Complex Analysis: Volume 1

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
ISBN
9789811309373
Publication Year
2018
Type
Textbook
Format
Hardcover
Language
English
Publication Name
Real and Complex Analysis
Author
Rajnikant Sinha
Item Length
9.3in
Publisher
Springer
Item Width
6.1in
Item Weight
39.9 Oz
Number of Pages
IX, 637 Pages

About this product

Product Information

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.

Product Identifiers

Publisher
Springer
ISBN-10
981130937x
ISBN-13
9789811309373
eBay Product ID (ePID)
16038684053

Product Key Features

Author
Rajnikant Sinha
Publication Name
Real and Complex Analysis
Format
Hardcover
Language
English
Publication Year
2018
Type
Textbook
Number of Pages
IX, 637 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Item Weight
39.9 Oz

Additional Product Features

Number of Volumes
1 Vol.
Lc Classification Number
Qa299.6-433
Reviews
"This introductory book should be useful to undergraduate students in mathematics and engineering. ... The approach to each topic appears to have been carefully thought out, both as to the mathematical treatment and to the pedagogical presentation. The end result is a quite satisfactory book for undergraduate classroom use or even self-study." (Christian Lavault, Mathematical Reviews, July, 2019)
Table of Content
Chapter 1. Lebesgue Integration.- Chapter 2. Lp-Spaces.- Chapter 3. Fourier Transforms.- Chapter 4 . Holomorphic and Harmonic Functions.- Chapter 5 . Conformal Mapping.- Chapter 6 . Analytic Continuation.- Chapter 7 . Special Functions.
Copyright Date
2018
Topic
General, Mathematical Analysis
Illustrated
Yes
Genre
Mathematics

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