Elements of Real Analysis

David A. Sprecher

ISBN 10: 0486653854 / ISBN 13: 9780486653853

Published by Dover Publications, 1987

About this Item

First Edition Thus, First Printing. Not price-clipped. Published by Dover Publications, 1987. Octavo. Paperback. Book is very good with shelf wear and creases. 100% positive feedback. 30 day money back guarantee. NEXT DAY SHIPPING! Excellent customer service. Please email with any questions. All books packed carefully and ship with free delivery confirmation/tracking. All books come with free bookmarks. Ships from Sag Harbor, New York.

Seller Inventory # 441543

Bibliographic Details

• Title: Elements of Real Analysis
• Publisher: Dover Publications
• Publication Date: 1987
• Language: English
• ISBN 10: 0486653854
• ISBN 13: 9780486653853
• Binding: Paper Back
• Edition: FIRST THUS.
• Condition: Very Good
• Dust Jacket Condition: Dust Jacket Included

About this title

Synopsis

This classic text in introductory analysis delineates and explores the intermediate steps between the basics of calculus and the ultimate stage of mathematics: abstraction and generalization.
Since many abstractions and generalizations originate with the real line, the author has made it the unifying theme of the text, constructing the real number system from the point of view of a Cauchy sequence (a step which Dr. Sprecher feels is essential to learn what the real number system is).
The material covered in Elements of Real Analysis should be accessible to those who have completed a course in calculus. To help give students a sound footing, Part One of the text reviews the fundamental concepts of sets and functions and the rational numbers. Part Two explores the real line in terms of the real number system, sequences and series of number and the structure of point sets. Part Three examines the functions of a real variable in terms of continuity, differentiability, spaces of continuous functions, measure and integration, and the Fourier series.
An especially valuable feature of the book is the exercises which follow each section. There are over five hundred, ranging from the simple to the highly difficult, each focusing on a concept previously introduced.