The Mathematical Career of Pierre de Fermat, 1601-1665 : : Second Edition / / Michael Sean Mahoney.

• VerfasserIn: Mahoney, Michael Sean,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2018]; ©1973
• Year of Publication: 2018
• Language: English
• Physical Description: 1 online resource

Hailed as one of the greatest mathematical results of the twentieth century, the recent proof of Fermat's Last Theorem by Andrew Wiles brought to public attention the enigmatic problem-solver Pierre de Fermat, who centuries ago stated his famous conjecture in a margin of a book, writing that he did not have enough room to show his "truly marvelous demonstration." Along with formulating this proposition--xn+yn=zn has no rational solution for n › 2--Fermat, an inventor of analytic geometry, also laid the foundations of differential and integral calculus, established, together with Pascal, the conceptual guidelines of the theory of probability, and created modern number theory. In one of the first full-length investigations of Fermat's life and work, Michael Sean Mahoney provides rare insight into the mathematical genius of a hobbyist who never sought to publish his work, yet who ranked with his contemporaries Pascal and Descartes in shaping the course of modern mathematics.

Table of Contents

Frontmatter -- CONTENTS -- PREFACE (1994) -- INTRODUCTION -- ACKNOWLEDGMENTS -- BIBLIOGRAPHICAL ABBREVIATIONS -- CHAPTER I. The Personal Touch -- CHAPTER II. Nullum Non Problema Solvere: Viete's Analytic Program And Its Influence On Fermat -- CHAPTER III. The Royal Road -- CHAPTER IV. Fashioning One's Own Luck -- CHAPTER V. Archimedes and the Theory of Equations -- CHAPTER VI. Between Traditions -- EPILOGUE: Fermat in Retrospect -- APPENDIX I: Sidelights on a Mathematical Career -- APPENDIX II: Bibliographical Essay and Chronological Conspectus of Fermat's Works -- INDEX