La Re D Couverte De L Arithm Tique De Diophante
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The Geometry Of Ren Descartes
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Author : René Descartes
language : en
Publisher: Courier Corporation
Release Date : 2012-09-19
The Geometry Of Ren Descartes written by René Descartes and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-19 with Mathematics categories.
The great work that founded analytical geometry. Includes the original French text, Descartes' own diagrams, and the definitive Smith-Latham translation. "The greatest single step ever made in the progress of the exact sciences." — John Stuart Mill.
Mathematical Cuneiform Texts
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Author : Albrecht Götze
language : en
Publisher:
Release Date : 1945
Mathematical Cuneiform Texts written by Albrecht Götze and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1945 with Akkadian language categories.
The Beginnings And Evolution Of Algebra
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Author : I. G. Bashmakova
language : en
Publisher: Cambridge University Press
Release Date : 2000-04-27
The Beginnings And Evolution Of Algebra written by I. G. Bashmakova and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-27 with Mathematics categories.
An examination of the evolution of one of the cornerstones of modern mathematics.
Trends In The Historiography Of Science
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Author : K. Gavroglu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18
Trends In The Historiography Of Science written by K. Gavroglu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Science categories.
The articles in this volume have been first presented during an international Conference organised by the Greek Society for the History of Science and Technology in June 1990 at Corfu. The Society was founded in 1989 and planned to hold a series of meetings to impress upon an audience comprised mainly by Greek students and scholars, the point that history of science is an autonomous discipline with its own plurality of approaches developed over the years as a result of long discussions and disputes within the community of historians of science. The Conference took place at a time when more and more people came to realise that the future of the Greek Universities and Research Centres depends not only on the progress of the institutional reforms, but also very crucially on the establishment of new and modern subject areas. Though there have been significant steps towards such a direction in the physical sciences, mathematics and engineering, the situation in the so-called humanities has been, at best, confusing. Political expediencies of the post war years and ideological commitments to a glorious, yet very distant past, paralysed the development of the humanities and constrained them within a framework which could not allow much more than a philological approach.
The Growth Of Mathematical Knowledge
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Author : Emily Grosholz
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
The Growth Of Mathematical Knowledge written by Emily Grosholz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Philosophy categories.
Mathematics has stood as a bridge between the Humanities and the Sciences since the days of classical antiquity. For Plato, mathematics was evidence of Being in the midst of Becoming, garden variety evidence apparent even to small children and the unphilosophical, and therefore of the highest educational significance. In the great central similes of The Republic it is the touchstone ofintelligibility for discourse, and in the Timaeus it provides in an oddly literal sense the framework of nature, insuring the intelligibility ofthe material world. For Descartes, mathematical ideas had a clarity and distinctness akin to the idea of God, as the fifth of the Meditations makes especially clear. Cartesian mathematicals are constructions as well as objects envisioned by the soul; in the Principles, the work ofthe physicist who provides a quantified account ofthe machines of nature hovers between description and constitution. For Kant, mathematics reveals the possibility of universal and necessary knowledge that is neither the logical unpacking ofconcepts nor the record of perceptual experience. In the Critique ofPure Reason, mathematics is one of the transcendental instruments the human mind uses to apprehend nature, and by apprehending to construct it under the universal and necessary lawsofNewtonian mechanics.
Mathematics And The Historian S Craft
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Author : Michael Kinyon
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-18
Mathematics And The Historian S Craft written by Michael Kinyon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-18 with Mathematics categories.
The Kenneth May Lectures have never before been published in book form Important contributions to the history of mathematics by well-known historians of science Should appeal to a wide audience due to its subject area and accessibility
The Shaping Of Arithmetic After C F Gauss S Disquisitiones Arithmeticae
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Author : Catherine Goldstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-03
The Shaping Of Arithmetic After C F Gauss S Disquisitiones Arithmeticae written by Catherine Goldstein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-03 with Mathematics categories.
Since its publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory building; and as a source of mathematical inspiration. Eighteen authors - mathematicians, historians, philosophers - have collaborated in this volume to assess the impact of the Disquisitiones, in the two centuries since its publication.
Diophantus And Diophantine Equations
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Author : Isabella Grigoryevna Bashmakova
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-01-29
Diophantus And Diophantine Equations written by Isabella Grigoryevna Bashmakova and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-29 with Mathematics categories.
This book tells the story of Diophantine analysis, a subject that, owing to its thematic proximity to algebraic geometry, became fashionable in the last half century and has remained so ever since. This new treatment of the methods of Diophantus--a person whose very existence has long been doubted by most historians of mathematics--will be accessible to readers who have taken some university mathematics. It includes the elementary facts of algebraic geometry indispensable for its understanding. The heart of the book is a fascinating account of the development of Diophantine methods during the.
Mathematics Of The 19th Century
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Author : KOLMOGOROV
language : en
Publisher: Birkhäuser
Release Date : 2013-11-11
Mathematics Of The 19th Century written by KOLMOGOROV and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
This multi-authored effort, Mathematics of the nineteenth century (to be fol lowed by Mathematics of the twentieth century), is a sequel to the History of mathematics fram antiquity to the early nineteenth century, published in three 1 volumes from 1970 to 1972. For reasons explained below, our discussion of twentieth-century mathematics ends with the 1930s. Our general objectives are identical with those stated in the preface to the three-volume edition, i. e. , we consider the development of mathematics not simply as the process of perfecting concepts and techniques for studying real-world spatial forms and quantitative relationships but as a social process as weIl. Mathematical structures, once established, are capable of a certain degree of autonomous development. In the final analysis, however, such immanent mathematical evolution is conditioned by practical activity and is either self-directed or, as is most often the case, is determined by the needs of society. Proceeding from this premise, we intend, first, to unravel the forces that shape mathe matical progress. We examine the interaction of mathematics with the social structure, technology, the natural sciences, and philosophy. Throughan anal ysis of mathematical history proper, we hope to delineate the relationships among the various mathematical disciplines and to evaluate mathematical achievements in the light of the current state and future prospects of the science. The difficulties confronting us considerably exceeded those encountered in preparing the three-volume edition.
The Evolution Of The Euclidean Elements
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Author : W.R. Knorr
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Evolution Of The Euclidean Elements written by W.R. Knorr and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
The present work has three principal objectives: (1) to fix the chronology of the development of the pre-Euclidean theory of incommensurable magnitudes beginning from the first discoveries by fifth-century Pythago reans, advancing through the achievements of Theodorus of Cyrene, Theaetetus, Archytas and Eudoxus, and culminating in the formal theory of Elements X; (2) to correlate the stages of this developing theory with the evolution of the Elements as a whole; and (3) to establish that the high standards of rigor characteristic of this evolution were intrinsic to the mathematicians' work. In this third point, we wish to counterbalance a prevalent thesis that the impulse toward mathematical rigor was purely a response to the dialecticians' critique of foundations; on the contrary, we shall see that not until Eudoxus does there appear work which may be described as purely foundational in its intent. Through the examination of these problems, the present work will either alter or set in a new light virtually every standard thesis about the fourth-century Greek geometry. I. THE PRE-EUCLIDEAN THEORY OF INCOMMENSURABLE MAGNITUDES The Euclidean theory of incommensurable magnitudes, as preserved in Book X of the Elements, is a synthetic masterwork. Yet there are detect able seams in its structure, seams revealed both through terminology and through the historical clues provided by the neo-Platonist commentator Proclus.