The Mathematical Universe
William Dunham
Content
Preface iv Acknowledgments vi Arithmetic 1 Bernoulli Trials 11 Circle 23 Differential Calculus 37 Euler 51 Fermat 65 Greek Geometry 75 Hypotenuse 89 Isoperimetric Problem 103 Justification 115 Knighted Newton 129 Lost Leibniz 143 Mathematical Personality 159 Natural Logarithm 167 Origins 179 Prime Number Theorem 193 Quotient 201 Russell's Paradox 213 Spherical Surface 225 Trisection 237 Utility 249 Venn Diagram 261 Where Are the Women? 263 X-Y Plane 273 Z 287 Afterword 296 Notes 297 Index 309

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