Basic Elements of Real Analysis

by Murray H. Protter

Overview

From the author of the highly-acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one-semester course in real analysis. Many students of mathematics and the physical and computer sciences need a text that presents the most important material in a brief and elementary fashion. The author meets this need with such elementary topics as the real number system, the theory at the basis of elementary calculus, the topology of metric spaces and infinite series. There are proofs of the basic theorems on limits at a pace that is deliberate and detailed, backed by illustrative examples throughout and no less than 45 figures.

Product Details

ISBN-13:	9781475771503
Publisher:	Springer New York
Publication date:	03/23/2013
Series:	Undergraduate Texts in Mathematics
Edition description:	Softcover reprint of the original 1st ed. 1998
Pages:	276
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

The Real Number System.- Continuity and Limits.- Basic Properties of Functions on—1.- Elementary Theory of Differentiation.- Elementary Theory of Integration.- Elementary Theory of Metric Spaces.- Differentiation and Integration in—N.- Infinite Series.- The Derivative of an Integral.- The Riemann-Stieltjes Integral.- The Implicit Function Theorem. Lagrange Multipliers.- Vector Functions on—N; The Theorems of Green and stokes.

Editorial Reviews

"This book is intended for a "shortened" course aimed at students who intend to study the physical sciences or computer science. It covers the most important topics in an elementary way. ... The book can be recommended to students desiring a good solid background in mathematics for the study of other sciences without unnecessary detours."
EMS Newsletter, June 2001

From the Publisher