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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 ... celý popis
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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
Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics History of mathematics
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