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| Preface | |
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| Perspective: The Search for Certainty | |
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| The Changing Concept of Change: The Derivative from Fermat to Weierstrass | |
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| Niels Henrik Abel | |
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| Olivier and Abel on Series Convergence: An Episode from Early 19th Century Analysis | |
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| The Parallel Postulate | |
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| Saccheri, Forerunner of Non-Euclidean Geometry | |
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| Synopsis of Major Geometries | |
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| The Evolution of Group Theory: A Brief Survey | |
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| The Men Responsible for the Development of Vectors | |
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| The Noncommutative Algebra of William Rowan Hamilton | |
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| Matrix Theory I: Arthur Cayley-Founder of Matrix Theory | |
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| Matrix Theory II: Basic Properties | |
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| Matrix Theory III: The Characteristic Equation; Minimal Polynomials | |
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| Sylvester and Scott | |
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| The Early Beginnings of Set Theory | |
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| Infinity: The Twilight Zone of Mathematics | |
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| Irrationals or Incommensurables V: Their Admission to the Realm of Numbers | |
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| The Genesis of Point Set Topology: From Newton to Hausdorff | |
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| The Origin of the Four-Color Conjecture | |
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| Topological Diversions | |
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| Meta-Mathematics and the Modern Conception of Mathematics | |
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| Intuition and Logic in Mathematics | |
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| The Three Crises in Mathematics: Logicism, Intuitionism, and Formalism | |
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| Kurt G�del, Mathematician and Logician | |
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| Thinking the Unthinkable: The Story of Complex Numbers (with a Moral) | |
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| The Development of Modern Statistics | |
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| A Chronological Outline of the Evolution of Computing Devices | |
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| ENIAC: The First Computer | |
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| Dynamical Systems: Birkhoff and Smale | |
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| Fermat's Last Theorem: 1637-1988 | |
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| Editor's Note: Fermat's Last Theorem, 1993 | |
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| The Tree of Mathematics | |
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| Epilogue: Mathematics, A Living Organism | |
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| Suggested Readings | |
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| Index | |