Foundations of Analysis

Second Edition

By David F Belding and Kevin J Mitchell

$26.95

Publication Date: 29th February 2008

This introduction to basic analysis presents a careful development of the real number system and the theory of calculus on the real line, extending the theory to real and complex planes. Designed as a first encounter with rigorous, formal mathematics for students with one year of calculus, the work features extended discussions of key ideas and detailed proofs of difficult theorems.
Authors David F. Belding and Kevin J. Mitchell are Professors of Math at Hobart and William Smith Colleges in Geneva, New York. Their approach emphasizes the connections between ideas, rather than rote, co... Read More
Format: Paperback
15 in stock
This introduction to basic analysis presents a careful development of the real number system and the theory of calculus on the real line, extending the theory to real and complex planes. Designed as a first encounter with rigorous, formal mathematics for students with one year of calculus, the work features extended discussions of key ideas and detailed proofs of difficult theorems.
Authors David F. Belding and Kevin J. Mitchell are Professors of Math at Hobart and William Smith Colleges in Geneva, New York. Their approach emphasizes the connections between ideas, rather than rote, co... Read More
Description
This introduction to basic analysis presents a careful development of the real number system and the theory of calculus on the real line, extending the theory to real and complex planes. Designed as a first encounter with rigorous, formal mathematics for students with one year of calculus, the work features extended discussions of key ideas and detailed proofs of difficult theorems.
Authors David F. Belding and Kevin J. Mitchell are Professors of Math at Hobart and William Smith Colleges in Geneva, New York. Their approach emphasizes the connections between ideas, rather than rote, computational aspects of calculus. Their two-part treatment begins with the real number system and covers functions, limits, and continuity, as well as differentiation and integration and aspects of sequences and series. The second part explores calculus in two dimensions in addition to line integrals and Green's theorem. The text concludes with a concise survey of complex analysis.

Reprint of the Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1991 edition.
Details
  • Price: $26.95
  • Pages: 448
  • Publisher: Dover Publications
  • Imprint: Dover Publications
  • Series: Dover Books on Mathematics
  • Publication Date: 29th February 2008
  • Trim Size: 6.14 x 9.21 in
  • ISBN: 9780486462967
  • Format: Paperback
  • BISACs:
    MATHEMATICS / Mathematical Analysis
Author Bio
The authors are Professors of Mathematics at Hobart and William Smith College in Geneva, New York.
Table of Contents
Preface
1. The Real Number System
2. Functions, Limits, and Continuity
3. Differentiation and Integration
4. Sequences and Series
5. Calculus in Two Dimensions
6. Line Integrals and Green's Theorem
7. Complex Analysis
Bibliography
Symbol Index
Index
This introduction to basic analysis presents a careful development of the real number system and the theory of calculus on the real line, extending the theory to real and complex planes. Designed as a first encounter with rigorous, formal mathematics for students with one year of calculus, the work features extended discussions of key ideas and detailed proofs of difficult theorems.
Authors David F. Belding and Kevin J. Mitchell are Professors of Math at Hobart and William Smith Colleges in Geneva, New York. Their approach emphasizes the connections between ideas, rather than rote, computational aspects of calculus. Their two-part treatment begins with the real number system and covers functions, limits, and continuity, as well as differentiation and integration and aspects of sequences and series. The second part explores calculus in two dimensions in addition to line integrals and Green's theorem. The text concludes with a concise survey of complex analysis.

Reprint of the Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1991 edition.
  • Price: $26.95
  • Pages: 448
  • Publisher: Dover Publications
  • Imprint: Dover Publications
  • Series: Dover Books on Mathematics
  • Publication Date: 29th February 2008
  • Trim Size: 6.14 x 9.21 in
  • ISBN: 9780486462967
  • Format: Paperback
  • BISACs:
    MATHEMATICS / Mathematical Analysis
The authors are Professors of Mathematics at Hobart and William Smith College in Geneva, New York.
Preface
1. The Real Number System
2. Functions, Limits, and Continuity
3. Differentiation and Integration
4. Sequences and Series
5. Calculus in Two Dimensions
6. Line Integrals and Green's Theorem
7. Complex Analysis
Bibliography
Symbol Index
Index