Fermat was the first person known to have evaluated the integral of general power functions. His name is attached to several results in number theory, though he worked in many other areas of mathematics as well. The story is told that, while reading an edition of the arithmetica of diophantus, fermat discovered an important theory of higher mathematics which he noted on the margin of his copy but did not bother to set. Many people see him as the father of modern calculus. Independently of descartes, fermat discovered the fundamental principle of. Fermat s distaste for publication robbed him of credit for this achievement, as well as for the discovery of some elements of calculus. Nothing could be more welcome than a book on fermat. Etienne despagnet, who had inherited a library of important books including some. Together with rene descartes, fermat was one of the two leading mathematicians of the first half of the 17th century.
Together with rene descartes, fermat was one of the two. Pierre was a lawyer by profession, but historians give him the credit of a genius mathematician. He made major contributions to geometric optics, modern number theory, probability theory, analytic geometry, and is generally considered the father of differential calculus. Though theres speculation about the exact details of his birth and early life, its said that. Everyday low prices and free delivery on eligible orders.
This useful book illustrates how illuminating it can be to take mathematicians rather than mathematical theories as units of historical analysis, for it gives a remarkably coherent view of fermats diverse contributions as resulting from his close adherence to the research program of viete, which he imbibed during his mathematical apprenticeship under the devoted followers of viete in bordeaux during his formative years. While still young, he, along with blaise pascal, made some discoveries in regard. As bell states, the creators of calculus, including fermat, relied on geometric and physicalmostly kinematical and dynamical intuition to get them ahead. Despite these impressive accomplishments, however, it is as a mathematician that he is best remembered. Pierre fermat was born in beaumontdelomagne, in southern france in late 1607 or early 1608. Descartes of analytic geometry, one of the founders of the calculus, the. Fermat contributed to the development of the calculus through his work on the properties of curves. He was a guiding light in the invention of calculus. Fermats investigations began in the 1630s, several decades before the definitive appearance of the differential calculus in the versions of leibniz and newton.
Try searching on jstor for other items related to this book. The origins of cauchys rigorous calculus dover books on mathematics. Fermats last theorem is a popular science book 1997 by simon singh. Dana pellegrino, history of mathematics research paper, spring 2000. Being a verysimplest introduction to those beautiful methods which are generally called by the terrifying names of the differential calculus and the integral calculus second edition, enlarged. Fermat was considered by some the discoverer of differential calculus and is credited as the founder of the modern theory of numbers. Despite these impressive accomplishments, however, it is as a mathematician that he. He was a competent classical scholar and philologist, was fluent in five languages, and composed poetry. He spent his entire adult life as a magistrate or judge in the city of toulouse, france. He wrote it in the margin of the book diophantus arithmetica. Although he published little, fermat posed the questions and identified the issues that have shaped number theory ever since. He did the primary developments of infinitesimal calculus.
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