Foundations and Elementary Real Analysis D.J.H. Garling

ISBN: 9781107032026

Published: December 1st 2012

Hardcover

304 pages


Description

Foundations and Elementary Real Analysis  by  D.J.H. Garling

Foundations and Elementary Real Analysis by D.J.H. Garling
December 1st 2012 | Hardcover | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 304 pages | ISBN: 9781107032026 | 5.33 Mb

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years ofMoreThe three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study.

Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. This first volume focuses on the analysis of real-valued functions of a real variable. Besides developing the basic theory it describes many applications, including a chapter on Fourier series.

It also includes a Prologue in which the author introduces the axioms of set theory and uses them to construct the real number system. Volume II goes on to consider metric and topological spaces and functions of several variables. Volume III covers complex analysis and the theory of measure and integration.



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