Calculus
eBook - ePub

Calculus

A Modern Approach

  1. 384 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Calculus

A Modern Approach

Book details
Table of contents
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About This Book

One of the twentieth century's most original mathematicians and thinkers, Karl Menger taught students of many backgrounds. In this, his radical revision of the traditional calculus text, he presents pure and applied calculus in a unified conceptual frame, offering a thorough understanding of theory as well as of the methodology underlying the use of calculus as a tool.
The most outstanding feature of this text is the care with which it explains basic ideas, a feature that makes it equally suitable for beginners and experienced readers. The text begins with a "mini-calculus" which brings out the fundamental results without recourse to the notions of limit and continuity. The standard subject matter is then presented as a pure and unambiguous calculus of functions. The issues surrounding the applications of pure calculus to problems in the sciences are faced in a forthright manner by carefully analyzing the meaning of "variable quantity" and clarified by resuscitating Newton's concept of fluents. The accompanying exercises are original, insightful and an integral part of the text. This Dover edition features a new Preface and Guide to Further Reading by Bert Schweizer and Abe Sklar.

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Information

Publisher
Dover Publications
Year
2014
ISBN
9780486151601
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Preface to the Dover edition
  5. Contents
  6. To the Instructor and General Reader
  7. To the Student
  8. Chapter I. THE TWO BASIC PROBLEMS OF CALCULUS AND THEIR SOLUTIONS FOR STRAIGHT LINES
  9. Chapter II. GRAPHICAL SOLUTIONS OF THE TWO BASIC PROBLEMS
  10. Chapter III. NUMERICAL SOLUTIONS OF THE TWO BASIC PROBLEMS
  11. Chapter IV. THE IDEA AND THE USE OF FUNCTIONS
  12. Chapter V. ON LIMITS
  13. Chapter VI. THE BASIC CONCEPTS OF CALCULUS
  14. Chapter VII. THE APPLICATION OF CALCULUS TO SCIENCE
  15. Chapter VIII. THE CALCULUS OF DERIVATIVES
  16. Chapter IX. THE CALCULUS OF ANTIDERIVATIVES
  17. Chapter X. THE MEAN VALUE THEOREM AND ITS CONSEQUENCES
  18. Chapter XI. TWO-PLACE FUNCTIONS
  19. APPENDIX - What Are x and y?
  20. BIBLIOGRAPHY
  21. TOPICAL INDEX
  22. INDEX OF SYMBOLS