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• catalog abstract ""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 - x[superscript n] + y[superscript n] = z[superscript n] 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."--Jacket.".
• catalog contributor b5745651.
• catalog created "c1994.".
• catalog date "1994".
• catalog date "c1994.".
• catalog dateCopyrighted "c1994.".
• catalog description ""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 - x[superscript n] + y[superscript n] = z[superscript n] 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."--Jacket.".
• catalog description "Includes bibliographical references and index.".
• catalog description "Mathematics in 1620 -- Fermat's life and career in parlement -- Motivation to mathematics -- Algebra, analysis, and the analytic art -- Following the "precepts of the art" -- Fermat's style of work and his influence on his contemporaries -- Fermat's analytic geometry, the Ad locos plano et solidos isagoge -- The origins of the Isagoge: Appollonius' Plane Loci and Conics -- Extensions of the system of the Isagoge: The Isagode ad locos ad superficiem -- Use of the system of the Isagoge: graphic solution and classification of equations -- The roots of an equation and the roots of a method -- Of dubious parentage: the method of tangents -- Looking under the bed: Descartes vs. Fermat, 1637-38 -- The aftermath: proceeding by touch -- Learning new tricks: the letter to Brulart -- Fine tuning: the path toward quadrature and rectification -- From spirals to conoids -- The method of centers of gravity -- The treatise on quadrature (ca. 1658) -- The treatise on rectification (1660) -- Fermat and the calculus -- Numbers, perfect and not so perfect -- Triangles and squares -- Reclaiming the patrimony: the challenges of 1657 -- One final attempt: the "relation" to Carcavi (1659) and the method of infinite descent -- Infinite descent and the "last theorem."".
• catalog extent "xx, 432 p. :".
• catalog identifier "0691036667 :".
• catalog isPartOf "Princeton paperbacks".
• catalog issued "1994".
• catalog issued "c1994.".
• catalog language "eng".
• catalog publisher "Princeton, N.J. : Princeton University Press,".
• catalog spatial "France".
• catalog subject "510/.92 B 20".
• catalog subject "Fermat, Pierre de, 1601-1665.".
• catalog subject "Mathematicians France Biography.".
• catalog subject "QA29.F45 M33 1994".
• catalog tableOfContents "Mathematics in 1620 -- Fermat's life and career in parlement -- Motivation to mathematics -- Algebra, analysis, and the analytic art -- Following the "precepts of the art" -- Fermat's style of work and his influence on his contemporaries -- Fermat's analytic geometry, the Ad locos plano et solidos isagoge -- The origins of the Isagoge: Appollonius' Plane Loci and Conics -- Extensions of the system of the Isagoge: The Isagode ad locos ad superficiem -- Use of the system of the Isagoge: graphic solution and classification of equations -- The roots of an equation and the roots of a method -- Of dubious parentage: the method of tangents -- Looking under the bed: Descartes vs. Fermat, 1637-38 -- The aftermath: proceeding by touch -- Learning new tricks: the letter to Brulart -- Fine tuning: the path toward quadrature and rectification -- From spirals to conoids -- The method of centers of gravity -- The treatise on quadrature (ca. 1658) -- The treatise on rectification (1660) -- Fermat and the calculus -- Numbers, perfect and not so perfect -- Triangles and squares -- Reclaiming the patrimony: the challenges of 1657 -- One final attempt: the "relation" to Carcavi (1659) and the method of infinite descent -- Infinite descent and the "last theorem."".
• catalog title "The mathematical career of Pierre de Fermat, 1601-1665 / Michael Sean Mahoney.".
• catalog type "Biography. fast".
• catalog type "text".