The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics: 82 (The Western Ontario Series in Philosophy of Science, 82) - Image 1

£80.65

Springer The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics: 82 (The Western Ontario Series in Philosophy of Science, 82)

Name: The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics: 82 (The Western Ontario Series in Philosophy of Science, 82)
Brand: Springer
Price: 74.99 GBP
Availability: InStock

Mathematical Logic

Price History & Forecast

Last 86 days • 86 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 86 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £75 (81 days, 94.2%)

Price range: £75 - £81

Price levels: 2 different prices over 86 days

Description

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 earlytwentieth 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, Poincaré, 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.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 3030187063
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Foundations > Mathematical Logic
Domain: Amazon UK
Release Date: 20 September 2019
Listed Since: 27 March 2019

Barcode

No barcode data available

Springer The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics: 82 (The Western Ontario Series in Philosophy of Science, 82)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Topics on Continua (Chapman & Hall/CRC Pure and Applied Mathematics)

Topics on Continua

Springer Real Numbers and Theories of Continua - Synthese 242

Continuum Mechanics: Advanced Topics and Research Trends (Modeling and Simulation in Science, Engineering and Technology)

Integral Methods in Science and Engineering, Volume 1: Theoretical Techniques

Continua: With the Houston Problem Book: 170 (Lecture Notes in Pure and Applied Mathematics)

Generalized Continua - from the Theory to Engineering Applications: 541 (CISM International Centre for Mechanical Sciences, 541)

Continuum Mechanics - Nova Science Publishers Physics Book

Advanced Calculus: An Introduction to Modern Analysis: 63 (Chapman & Hall/CRC Pure and Applied Mathematics)

Nine Mathematical Challenges: An Elucidation (Proceedings of Symposia in Pure Mathematics)

Continuum Theory: An Introduction: 158 (Chapman & Hall/CRC Pure and Applied Mathematics)

A History of Analysis (History of Mathematics)

Stability in the Mechanics of Continua: 2nd Symposium, Nümbrecht, Germany, August 31 – September 4, 1981 (IUTAM Symposia)

Continuous Nowhere Differentiable Functions: The Monsters of Analysis (Springer Monographs in Mathematics)

Pseudo-Differential Operators, Generalized Functions and Asymptotics: 231 (Operator Theory: Advances and Applications, 231)

The Cauchy Method of Residues: Theory and Applications: 9 (Mathematics and its Applications, 9)

Calculus of Variations II: The Hamiltonian Formalism: 311 (Grundlehren der mathematischen Wissenschaften, 311)

Glimpses of Soliton Theory: The Algebra and Geometry of Nonlinear PDEs (Student Mathematical Library)

Mechanics and Mathematics of Fluids of the Differential Type: 35 (Advances in Mechanics and Mathematics, 35)

Differential Calculus: Problems And Solutions From Fundamentals To Nuances

Geometry, Analysis and Probability: In Honor of Jean-Michel Bismut: 310 (Progress in Mathematics, 310)

Birkhauser Analytic, Algebraic and Geometric Aspects of DE

Microcontinuum Field Theories: I. Foundations and Solids

Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov: 107 (Advanced Structured Materials)