A Second Course in Analysis

M Ram Murty

Language: English

Published by Hindustan Book Agency, 2021

9386279843 / 9789386279842

  • Softcover
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This book represents material suitable for a two semester graduate course in analysis. Based on courses given by the author since 2007, it is targeted towards graduate students preparing for a research career in mathematics. After reviewing what a typical student would have learned in single variable and multivariable calculus courses, the first chapter presents familiar material from a mature mathematical perspective. The second chapter surveys measure theory and highlights the essential theorems that have now become ubiquitous in mathematics. The third chapter on Fourier transforms derives the inversion theorem and gives diverse applications ranging from probability theory to mathematical physics. The fourth chapter reviews complex analysis giving a synthetic, rigorous development of the calculus of residues and its applications to a wide array of problems. The final chapter is an introduction to algebraic topology and is included to show the symbiosis between algebra and analysis.

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Title
A Second Course in Analysis
Author
M Ram Murty
Publisher
Hindustan Book Agency
Publication year
2021
Condition
New
Binding
Soft cover
Language
English
ISBN 10
9386279843
ISBN 13
9789386279842

Vedams eBooks (P) Ltd

New Delhi, India

4-star seller

AbeBooks seller since January 30, 2009

Shipping rates from India to U.S.A.

Item20 to 24 business days4 to 7 business days
First itemUS$ 20.43US$ 37.36
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