Normal view MARC view ISBD view

A Second Course in Analysis / Maruti Ram Murty

By: Murty, Maruti RamContributor(s): Murty, Maruti RamMaterial type: Text

TextPublisher number: :Variety Books Publishers & Distributors | :B-10 Street No 2 West Vinod Nagar Delhi 110092 Series: Institute of Mathematical Science Lecture Note 4Publication details: New Delhi, India : Hindustan Book Agency ©2020Description: xiv, 336 pages : illustrations ; 25 cmISBN: 97893806279842Subject(s): Mathematics | Analysis | Mathematical analysisDDC classification: 515 MUR

Contents:

Background -- Measure theory -- Fourier transforms -- Complex analysis -- Introduction to algebraic topology.

Summary: 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

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings ( 2 )
Title notes ( 2 )
Comments ( 0 )

Holdings
Item type	Current library	Call number	Status	Notes	Date due	Barcode	Item holds
Mathematics Departmental Library	SNU LIBRARY	515 MUR (Browse shelf(Opens below))	Available	FPDA Grant		M291
Mathematics Departmental Library	SNU LIBRARY	515 MUR (Browse shelf(Opens below))	Available	NBHM		M409

Total holds: 0

Browsing Mathematics Departmental Library shelves Close shelf browser (Hides shelf browser)

Previous								Next
Previous	515 LAN Real and Functional Analysis	515 LAN A First Course in Calculus	515 LAX Calculus with applications and computing	515 MUR A Second Course in Analysis	515 NIK A course of mathematical analysis	515 SIT Mathematical Analysis	515 TAO Analysis	Next

Background --
Measure theory --
Fourier transforms --
Complex analysis --
Introduction to algebraic topology.

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

There are no comments on this title.

to post a comment.