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Infinitesimal Calculus

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Infinitesimal Calculus Cover

 

Synopses & Reviews

Publisher Comments:

Rigorous undergraduate treatment introduces calculus at the basic level, using infinitesimals and concentrating on theory rather than applications. Requires only a solid foundation in high school mathematics. Contents: 1. Introduction. 2. Language and Structure. 3. The Hyperreal Numbers. 4. The Hyperreal Line. 5. Continuous Functions. 6. Integral Calculus. 7. Differential Calculus. 8. The Fundamental Theorem. 9. Infinite Sequences and Series. 10. Infinite Polynomials. 11. The Topology of the Real Line. 12. Standard Calculus and Sequences of Functions. Appendixes. Subject Index. Name Index. Unabridged republication of the edition published by The MIT Press, Cambridge, MA, 1979. Numerous figures.

Book News Annotation:

Originally published by MIT Press in 1979, this textbook provides a rigorous development of calculus using infinitesimals in the style of Abraham Robinson, concentrating on the theory behind both integral and differential calculus rather than their practical application. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, more. 1979 edition.

Synopsis:

Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, topology of the real line, and standard calculus and sequences of functions. Only high school mathematics needed. 1979 edition.

Table of Contents

  Preface

1 Introduction

2 Language and Structure

3 The Hyperreal Numbers

4 The Hyperreal Line

5 Continuous Functions

6 Integral Calculus

7 Differential Calculus

8 The Fundamental Theorem

9 Infinite Sequences and Series

10 Infinite Polynomials

11 The Topology of the Real Line

12 Standard Calculus and Sequences of Functions

  Appendix A Defining Quasi-big Sets

  Appendix B The Proof of Theorem 3.1

  Subject Index

  Name Index

Product Details

ISBN:
9780486428864
Author:
Henle, James M.
Publisher:
Dover Publications
Author:
Mathematics
Author:
James M.
Author:
Kleinberg, Eugene M.
Author:
Henle
Location:
Mineola, NY
Subject:
Calculus
Subject:
General Mathematics
Subject:
Mathematics-Calculus
Edition Number:
Dover ed.
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
02-435
Publication Date:
20030731
Binding:
TRADE PAPER
Language:
English
Illustrations:
Figs. throughout
Pages:
144
Dimensions:
9.25 x 6.13 in 0.47 lb

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Related Subjects

Children's » Activities » General
History and Social Science » World History » General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » General

Infinitesimal Calculus New Trade Paper
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Product details 144 pages Dover Publications - English 9780486428864 Reviews:
"Synopsis" by ,
Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, more. 1979 edition.

"Synopsis" by ,
Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, topology of the real line, and standard calculus and sequences of functions. Only high school mathematics needed. 1979 edition.
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