
Basic Elements of Real Analysis
Murray H. Protter(Author)
Springer (Publisher)
Published on 23. March 2013
Book
Paperback/Softback
XII, 276 pages
978-1-4757-7150-3 (ISBN)
Description
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.
Reviews / Votes
"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
More details
Series
Edition
Softcover reprint of the original 1st ed. 1998
Language
English
Place of publication
New York
United States
Target group
Lower undergraduate
Illustrations
XII, 276 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 16 mm
Weight
446 gr
ISBN-13
978-1-4757-7150-3 (9781475771503)
DOI
10.1007/b98884
Schweitzer Classification
Other editions
Additional editions

Murray H. Protter
Basic Elements of Real Analysis
E-Book
03/2006
Springer
€53.49
Available for download

Murray H. Protter
Basic Elements of Real Analysis
Book
10/1998
Springer
€53.49
Shipment within 5-7 days
Content
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.