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Basic Elements of Real Analysis

Murray H. Protter

$130.95   $105.07

Paperback

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English
Springer-Verlag New York Inc.
23 March 2013
"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 those students who intend to study any of the physical sciences and computer science need a text that presents the most important material in a brief and elementary fashion. The author has included 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. There are illustrative examples throughout with over 45 figures."

By:  
Imprint:   Springer-Verlag New York Inc.
Country of Publication:   United States
Edition:   Softcover reprint of the original 1st ed. 1998
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 15mm
Weight:   450g
ISBN:   9781475771503
ISBN 10:   1475771509
Series:   Undergraduate Texts in Mathematics
Pages:   276
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
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.

Reviews for Basic Elements of Real Analysis

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


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