The Mathematical Career of Pierre de Fermat, 1601-1665 PDF Download
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Author: Michael Sean Mahoney
Publisher: Princeton University Press
ISBN: 0691187630
Category : Science
Languages : en
Pages : 455
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Book 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--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.
Author: Michael Sean Mahoney
Publisher: Princeton University Press
ISBN: 0691187630
Category : Science
Languages : en
Pages : 455
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Book 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--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.
Author: Pierre Duhem
Publisher: Springer Science & Business Media
ISBN: 9401137307
Category : History
Languages : en
Pages : 620
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Book Description
If ever a major study of the history of science should have acted like a sudden revolution it is this book, published in two volumes in 1905 and 1906 under the title, Les origines de la statique. Paris, the place of publication, and the Librairie scientifique A. Hermann that brought it be enough of a guarantee to prevent a very different out, could seem to outcome. Without prompting anyone, for some years yet, to follow up the revolutionary vistas which it opened up, Les origines de la statique certainly revolutionized Duhem's remaining ten or so years. He became the single-handed discoverer of a vast new land of Western intellectual history. Half a century later it could still be stated about the suddenly proliferating studies in medieval science that they were so many commentariesonDuhem's countlessfindings and observations. Of course, in 1906, Paris and the intellectual world in general were mesmerized by Bergson's Evolution creatrice, freshly off the press. It was meant to bring about a revolution. Bergson challenged head-on the leading dogma of the times, the idea of mechanistic evolution. He did so by noting, among other things, that to speak of vitalism was at least a roundabout recognition of scientific ignorance about a large number of facts concerning life-processes. He held high the idea of a "vital impetus passing through matter," and indeed through all matter or the universe, an impetus thatcould be detected only through intuitiveknowledge.
Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
ISBN: 0387216928
Category : Mathematics
Languages : en
Pages : 418
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Book Description
In 1995, Andrew Wiles completed a proof of Fermat's Last Theorem. Although this was certainly a great mathematical feat, one shouldn't dismiss earlier attempts made by mathematicians and clever amateurs to solve the problem. In this book, aimed at amateurs curious about the history of the subject, the author restricts his attention exclusively to elementary methods that have produced rich results.
Author: Raffaele Pisano
Publisher: Springer Nature
ISBN: 3031069633
Category :
Languages : en
Pages : 1118
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Book Description
Author: Joachim von zur Gathen
Publisher: Cambridge University Press
ISBN: 1107245257
Category : Computers
Languages : en
Pages : 811
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Book Description
Computer algebra systems are now ubiquitous in all areas of science and engineering. This highly successful textbook, widely regarded as the 'bible of computer algebra', gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems. Designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics, its comprehensiveness and reliability has also made it an essential reference for professionals in the area. Special features include: detailed study of algorithms including time analysis; implementation reports on several topics; complete proofs of the mathematical underpinnings; and a wide variety of applications (among others, in chemistry, coding theory, cryptography, computational logic, and the design of calendars and musical scales). A great deal of historical information and illustration enlivens the text. In this third edition, errors have been corrected and much of the Fast Euclidean Algorithm chapter has been renovated.
Author: Karen Francois
Publisher: Springer Science & Business Media
ISBN: 0387715754
Category : Education
Languages : en
Pages : 235
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Book Description
This book brings together diverse recent developments exploring the philosophy of mathematics in education. The unique combination of ethnomathematics, philosophy, history, education, statistics and mathematics offers a variety of different perspectives from which existing boundaries in mathematics education can be extended. The ten chapters in this book offer a balance between philosophy of and philosophy in mathematics education. Attention is paid to the implementation of a philosophy of mathematics within the mathematics curriculum.
Author: Thomas Hobbes
Publisher: Clarendon Press
ISBN: 9780191590450
Category : Philosophy
Languages : en
Pages : 602
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Book Description
Thomas Hobbes (1588-1679) is one of the most important figures in the history of European philosophy. Although best known for his political theory, he also wrote about theology, metaphysics, physics, optics, mathematics, psychology, and literary criticism. All of these interests are reflected in his correspondence. Some small groups of his letters have been printed in the past (often in inaccurate transcriptions), but this edition is the first complete collection of his correspondence, nearly half of which has never been printed before. All the letters have been transcribed from the original sources, and all materials in Latin, French, and Italian are printed together with translations in clear modern English. The letters are fully annotated, and there are long biographical entries on all of his correspondents, based on extensive original research. The whole pattern of Hobbes's intellectual life and personal friendships is set in a new light. This is one of the most significant and valuable scholarly publications of this century.
Author: Charles Henry
Publisher:
ISBN:
Category : Mathematics
Languages : fr
Pages : 226
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Book Description
Author: Margaret E. Baron
Publisher: Elsevier
ISBN: 1483280926
Category : Mathematics
Languages : en
Pages : 313
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Book Description
The Origins of Infinitesimal Calculus focuses on the evolution, development, and applications of infinitesimal calculus. The publication first ponders on Greek mathematics, transition to Western Europe, and some center of gravity determinations in the later 16th century. Discussions focus on the growth of kinematics in the West, latitude of forms, influence of Aristotle, axiomatization of Greek mathematics, theory of proportion and means, method of exhaustion, discovery method of Archimedes, and curves, normals, tangents, and curvature. The manuscript then examines infinitesimals and indivisibles in the early 17th century and further advances in France and Italy. Topics include the link between differential and integral processes, concept of tangent, first investigations of the cycloid, and arithmetization of integration methods. The book reviews the infinitesimal methods in England and Low Countries and rectification of arcs. The publication is a vital source of information for historians, mathematicians, and researchers interested in infinitesimal calculus.
Author: Wolfram Hergert
Publisher: Springer
ISBN: 3642287387
Category : Science
Languages : en
Pages : 268
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Book Description
This book presents in a concise way the Mie theory and its current applications. It begins with an overview of current theories, computational methods, experimental techniques, and applications of optics of small particles. There is also some biographic information on Gustav Mie, who published his famous paper on the colour of Gold colloids in 1908. The Mie solution for the light scattering of small spherical particles set the basis for more advanced scattering theories and today there are many methods to calculate light scattering and absorption for practically any shape and composition of particles. The optics of small particles is of interest in industrial, atmospheric, astronomic and other research. The book covers the latest developments in divers fields in scattering theory such as plasmon resonance, multiple scattering and optical force.
