The Development of Mathematics
eBook - ePub

The Development of Mathematics

  1. 656 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

The Development of Mathematics

About this book

"This important book … presents a broad account of the part played by mathematics in the evolution of civilization, describing clearly the main principles, methods, and theories of mathematics that have survived from about 4000 B.C. to 1940." — Booklist.
In this time-honored study, one of the twentieth century's foremost scholars and interpreters of the history and meaning of mathematics masterfully outlines the development of leading ideas and clearly explains the mathematics involved in each.
Author E. T. Bell first examines the evolution of mathematical ideas in the ancient civilizations of Egypt and Babylonia; later developments in India, Arabia, and Spain; and other achievements worldwide through the sixteenth century. He then traces the beginnings of modern mathematics in the seventeenth century and the emergence of the importance of extensions of number, mathematical structure, the generalization of arithmetic, and structural analysis. Compelling accounts of major breakthroughs in the 19th and 20th centuries follow, emphasizing rational arithmetic after Fermat, contributions from geometry, and topics as diverse as generalized variables, abstractions, differential equations, invariance, uncertainties, and probabilities.

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Yes, you can access The Development of Mathematics by E. T. Bell in PDF and/or ePUB format, as well as other popular books in Mathematics & History & Philosophy of Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. DOVER BOOKS ON MATHEMATICS
  2. Title Page
  3. Copyright Page
  4. To Any Prospective Reader
  5. Table of Contents
  6. CHAPTER 1 - General Prospectus
  7. CHAPTER 2 - The Age of Empiricism
  8. CHAPTER 3 - Firmly Established
  9. CHAPTER 4 - The European Depression
  10. CHAPTER 5 - Detour through India, Arabia, and Spain
  11. CHAPTER 6 - Four Centuries of Transition
  12. CHAPTER 7 - The Beginning of Modern Mathematics
  13. CHAPTER 8 - Extensions of Number
  14. CHAPTER 9 - Toward Mathematical Structure
  15. CHAPTER 10 - Arithmetic Generalized
  16. CHAPTER 11 - Emergence of Structural Analysis
  17. CHAPTER 12 - Cardinal and Ordinal to 1902
  18. CHAPTER 13 - From Intuition to Absolute Rigor
  19. CHAPTER 14 - Rational Arithmetic after Fermat
  20. CHAPTER 15 - Contributions from Geometry
  21. CHAPTER 16 - The Impulse from Science
  22. CHAPTER 17 - From Mechanics to Generalized Variables
  23. CHAPTER 18 - From Applications to Abstractions
  24. CHAPTER 19 - Differential and Difference Equations
  25. CHAPTER 20 - Invariance
  26. CHAPTER 21 - Certain Major Theories of Functions
  27. CHAPTER 22 - Through Physics to General Analysis and Abstractness
  28. CHAPTER 23 - Uncertainties and Probabilities
  29. Notes
  30. Index
  31. A CATALOG OF SELECTED - DOVER BOOKS
  32. A CATALOG OF SELECTED DOVER BOOKS IN ALL FIELDS OF INTEREST