0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Philosophy of mathematics

Buy Now

The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics (Hardcover, 1st ed. 2019) Loot Price: R3,160
Discovery Miles 31 600
The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics (Hardcover, 1st ed. 2019): John L. Bell

The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics (Hardcover, 1st ed. 2019)

John L. Bell

Series: The Western Ontario Series in Philosophy of Science, 82

 (sign in to rate)
Loot Price R3,160 Discovery Miles 31 600 | Repayment Terms: R296 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical. The first section covers the history of these ideas in philosophy. Chapter one, entitled 'The continuous and the discrete in Ancient Greece, the Orient and the European Middle Ages,' reviews the work of Plato, Aristotle, Epicurus, and other Ancient Greeks; the elements of early Chinese, Indian and Islamic thought; and early Europeans including Henry of Harclay, Nicholas of Autrecourt, Duns Scotus, William of Ockham, Thomas Bradwardine and Nicolas Oreme. The second chapter of the book covers European thinkers of the sixteenth and seventeenth centuries: Galileo, Newton, Leibniz, Descartes, Arnauld, Fermat, and more. Chapter three, 'The age of continuity,' discusses eighteenth century mathematicians including Euler and Carnot, and philosophers, among them Hume, Kant and Hegel. Examining the nineteenth and early twentieth centuries, the fourth chapter describes the reduction of the continuous to the discrete, citing the contributions of Bolzano, Cauchy and Reimann. Part one of the book concludes with a chapter on divergent conceptions of the continuum, with the work of nineteenth and early twentieth century philosophers and mathematicians, including Veronese, Poincare, Brouwer, and Weyl. Part two of this book covers contemporary mathematics, discussing topology and manifolds, categories, and functors, Grothendieck topologies, sheaves, and elementary topoi. Among the theories presented in detail are non-standard analysis, constructive and intuitionist analysis, and smooth infinitesimal analysis/synthetic differential geometry. No other book so thoroughly covers the history and development of the concepts of the continuous and the infinitesimal.

General

Imprint: Springer Nature Switzerland AG
Country of origin: Switzerland
Series: The Western Ontario Series in Philosophy of Science, 82
Release date: September 2019
First published: 2019
Authors: John L. Bell
Dimensions: 235 x 155mm (L x W)
Format: Hardcover
Pages: 313
Edition: 1st ed. 2019
ISBN-13: 978-3-03-018706-4
Categories: Books > Science & Mathematics > Mathematics > Philosophy of mathematics
Books > Science & Mathematics > Mathematics > History of mathematics
Books > Computing & IT > General theory of computing > Mathematical theory of computation
Books > Humanities > Philosophy > Western philosophy > General
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
Books > Philosophy > Western philosophy > General
Promotions
LSN: 3-03-018706-3
Barcode: 9783030187064

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Principia Mathematica
Russell Bertrand Russell Hardcover R1,292 Discovery Miles 12 920
Principia Mathematica
Russell Bertrand Russell Hardcover R1,332 Discovery Miles 13 320
Foundations without Foundationalism - A…
Stewart Shapiro Hardcover R5,439 Discovery Miles 54 390
Michael Atiyah Collected Works - Volume…
Michael Atiyah Hardcover R9,415 Discovery Miles 94 150
Blueprints - How Mathematics Shapes…
Marcus du Sautoy Paperback R440 R349 Discovery Miles 3 490
Logic, Proof and Computation
Mark Tarver Paperback R559 Discovery Miles 5 590
The Scientific Counter-Revolution - The…
Michael John Gorman Hardcover R3,558 Discovery Miles 35 580
Seven Eyes Open - A Study Of The…
Alexander James B. Connor Hardcover R969 Discovery Miles 9 690
The No.1 Book of Numbers - Exploring the…
Ruth Binney Hardcover  (1)
R406 R307 Discovery Miles 3 070
Seven Eyes Open - A Study Of The…
Alexander J B Connor Hardcover R980 Discovery Miles 9 800
Quantum Theory Made Simple - Discover…
Theodore Giesselman Hardcover R619 Discovery Miles 6 190
An Applied Mathematician's Apology
Lloyd N. Trefethen Paperback R1,097 R987 Discovery Miles 9 870

See more

Partners