The Search for Certainty
A Journey Through the History of Mathematics,1800-2000
Series: Dover Books on Mathematics;
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Product details:
- Publisher Dover Publications Inc.
- Date of Publication 31 October 2012
- ISBN 9780486474427
- Binding Paperback
- See also 9780812691948
- No. of pages224 pages
- Size 254x178 mm
- Weight 299 g
- Language English 0
Categories
Short description:
This authoritative survey focuses on the era from 1800 to 2000. Accessible to those with no math background, its absorbing, entertaining essays range from logic and infinity to Fermat's Last Theorem.
MoreLong description:
Self-contained and authoritative, this history of mathematics is suited to those with no math background. Its absorbing, entertaining essays focus on the era from 1800 to 2000. Contributors include Henri Poincaré, Judith V. Grabiner, and H. S. M. Coxeter, who discuss topics ranging from logic and infinity to Fermat's Last Theorem.
Self-contained and authoritative, this history of mathematics is suited to those with no math background. Its absorbing, entertaining essays focus on the era from 1800 to 2000. Contributors include Henri Poincaré, Judith V. Grabiner, and H. S. M. Coxeter, who discuss topics ranging from logic and infinity to Fermat's Last Theorem.
Table of Contents:
Preface
Perspective: The Search for Certainty
1. The Changing Concept of Change: The Derivative from Fermat to Weierstrass
2. Niels Henrik Abel
3. Oliver and Abel on Series Convergence: An Episode from Early 19th Centrury Analysis
4. The Parallel Postulate
5. Saccheri, Forefunner of Non
-Euclidean Geometry
Historical Exhibit 1
6. The Evolution of Group Theory: A Brief Survey
7. The Men responsible for the Development of Vectors
Historical Exhibit 2
8. Matrix Theory I: Arthur Cayley
- Founder of Matrix Theory
9. Matrix Theory II: Basic Properties
10. Matrix Theory III: The Characteristic Equation; Minimal Polynomials
11. Sylvester and Scott
12. The Early Beginnings of Set Theory
13. Infinity: The Twilight Zone of Mathematics
14. Irrationals or Incommensurables V: Their Admission to the Realm of Numbers
15. The Genesis of Point Set Teopology: From Newton to Hausdorff
16. The Origin of the Four
-Color
-Conjecture
Historical Exhibit 3
17. Meta
-Mathematics and the Modern Conception of Mathematics
18. Inutition and Logic in Mathematics
19. The Three Crises in Mathematics: Logicism, Intuitionism, and Formalism
20. Kurt Godel, Mathematician and Logician
21. Thinking the Unthinkable: The Story of Complex Numbers (with a Moral)
22. The Development of Modern Statistics
Historical Exhibit 4
23. ENIAC: The First Computer
24. Dynamical Systems: Birkhoff and Smale
25. Fermat's Last Theorem: 1637
-1988
Editor's Note: Fermat's Last Theorem, 1993
Historical Exhibit 5
Epilogue: Mathematics, A Living Organism
Suggested Readings
Index
