Dunham, William <br/><br/>
Journey through genius:  the great theorems of Mathematics / 
William Dunham 
 - United States of America:  Penguin,  1991 
 - xiii, 300p. 
<br/><br/> Journey through Genius - William Dunham Preface<br/>Acknowledgments<br/>Chapter 1. Hippocrates' Quadrature of the Lune (ca. 440 B.C.)<br/>The Appearance of Demonstrative Mathematics<br/>Some Remarks on Quadrature<br/>Great Theorem<br/>Epilogue<br/>Chapter 2. Euclid's Proof of the Pythagorean Theorem (ca. 300 B.C.)<br/>The Elements of Euclid<br/>Book I: Preliminaries<br/>Book I: The Early Propositions<br/>Book I: Parallelism and Related Topics<br/>Great Theorem<br/>Epilogue<br/>Chapter 3. Euclid and the Infinitude of Primes (ca. 300 B.C.)<br/>The Elements, Books II-VI<br/>Number Theory in Euclid<br/>Great Theorem<br/>The Final Books of the Elements<br/>Epilogue<br/>Chapter 4. Archimedes' Determination of Circular Area (ca. 225 B.C.)<br/>The Life of Archimedes<br/>Great Theorem<br/>Archimedes' Masterpiece: On the Sphere and the Cylinder<br/>Epilogue<br/>Chapter 5. Heron's Formula for Triangular Area (ca. A.D. 75)<br/>Classical Mathematics after Archimedes<br/>Great Theorem<br/>Epilogue<br/>Chapter 6. Cardano and the Solution of the Cubic (1545)<br/>A Horatio Algebra Story<br/>Great Theorem<br/>Further Topics on Solving Equations<br/>Epilogue<br/>Chapter 7. A Gem from Isaac Newton (Late 1660s)<br/>Mathematics of the Heroic Century<br/>A Mind Unleashed<br/>Newton's Binomial Theorem<br/>Great Theorem<br/>Epilogue<br/>Chapter 8. The Bernoullis and the Harmonic Series (1689)<br/>The Contributions of Leibniz<br/>The Brothers Bernoulli<br/>Great Theorem<br/>The Challenge of the Brachistochrone<br/>Epilogue<br/>Chapter 9. The Extraordinary Sums of Leonhard Euler (1734)<br/>The Master of All Mathematical Trades<br/>Great Theorem<br/>Epilogue<br/>Chapter 10. A Sampler of Euler's Number Theory (1736)<br/>The Legacy of Fermat<br/>Great Theorem<br/>Epilogue<br/>Chapter 11. The Non-Denumerability of the Continuum (1874)<br/>Mathematics of the Nineteenth Century<br/>Cantor and the Challenge of the Infinite<br/>Great Theorem<br/>Epilogue<br/>Chapter 12. Cantor and the Transfinite Realm (1891)<br/>The Nature of Infinite Cardinals<br/>Great Theorem<br/>Epilogue<br/>Afterword<br/>Chapter Notes<br/>References<br/>Index<br/> 
<br/><br/><label>ISBN: </label>9780140147391 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Physics and Astronomy<br/>Mathematics of the Heroic Century
<br/><br/><label>Dewey Class. No.: </label>510.9  / DUN-91