A Second Course in Analysis (Paperback)

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.

General

Imprint:	Jainendra K Jain
Country of origin:	India
Series:	Institute of Mathematical Sciences Lecture Notes
Release date:	April 2021
Authors:	M. Ram Murty
Dimensions:	161 x 240 x 25mm (L x W x T)
Format:	Paperback
Pages:	350
ISBN-13:	978-93-86-27984-2
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Promotions
LSN:	93-86-27984-3
Barcode:	9789386279842

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