000			02491nam a22001937a 4500
005			20250403124712.0
008			250311b |||||||| |||| 00| 0 eng d
020			_a9780140147391
040			_aMAIN
082			_a510.9 _bDUN-91
100			_aDunham, William
245			_aJourney through genius: _bthe great theorems of Mathematics / _cWilliam Dunham
260			_aUnited States of America: _bPenguin, _c1991
300			_axiii, 300p.
500			_aJourney through Genius - William Dunham Preface Acknowledgments Chapter 1. Hippocrates' Quadrature of the Lune (ca. 440 B.C.) The Appearance of Demonstrative Mathematics Some Remarks on Quadrature Great Theorem Epilogue Chapter 2. Euclid's Proof of the Pythagorean Theorem (ca. 300 B.C.) The Elements of Euclid Book I: Preliminaries Book I: The Early Propositions Book I: Parallelism and Related Topics Great Theorem Epilogue Chapter 3. Euclid and the Infinitude of Primes (ca. 300 B.C.) The Elements, Books II-VI Number Theory in Euclid Great Theorem The Final Books of the Elements Epilogue Chapter 4. Archimedes' Determination of Circular Area (ca. 225 B.C.) The Life of Archimedes Great Theorem Archimedes' Masterpiece: On the Sphere and the Cylinder Epilogue Chapter 5. Heron's Formula for Triangular Area (ca. A.D. 75) Classical Mathematics after Archimedes Great Theorem Epilogue Chapter 6. Cardano and the Solution of the Cubic (1545) A Horatio Algebra Story Great Theorem Further Topics on Solving Equations Epilogue Chapter 7. A Gem from Isaac Newton (Late 1660s) Mathematics of the Heroic Century A Mind Unleashed Newton's Binomial Theorem Great Theorem Epilogue Chapter 8. The Bernoullis and the Harmonic Series (1689) The Contributions of Leibniz The Brothers Bernoulli Great Theorem The Challenge of the Brachistochrone Epilogue Chapter 9. The Extraordinary Sums of Leonhard Euler (1734) The Master of All Mathematical Trades Great Theorem Epilogue Chapter 10. A Sampler of Euler's Number Theory (1736) The Legacy of Fermat Great Theorem Epilogue Chapter 11. The Non-Denumerability of the Continuum (1874) Mathematics of the Nineteenth Century Cantor and the Challenge of the Infinite Great Theorem Epilogue Chapter 12. Cantor and the Transfinite Realm (1891) The Nature of Infinite Cardinals Great Theorem Epilogue Afterword Chapter Notes References Index
650			_aPhysics and Astronomy
650			_aMathematics of the Heroic Century
942			_cBK
999			_c22130 _d22130