Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences

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Mathematics is one of the most basic — and most ancient — types of knowledge. Yet the details of its historical development remain obscure to all but a few specialists. The two-volume Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences recovers this mathematical heritage, bringing together many of the world's leading historians of mathematics to examine the history and philosophy of the mathematical sciences in a cultural context, tracing their ...

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Overview

Mathematics is one of the most basic — and most ancient — types of knowledge. Yet the details of its historical development remain obscure to all but a few specialists. The two-volume Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences recovers this mathematical heritage, bringing together many of the world's leading historians of mathematics to examine the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times to the twentieth century.

In 176 concise articles divided into twelve parts, contributors describe and analyze the variety of problems, theories, proofs, and techniques in all areas of pure and applied mathematics, including probability and statistics. This indispensable reference work demonstrates the continuing importance of mathematics and its use in physics, astronomy, engineering, computer science, philosophy, and the social sciences. Also addressed is the history of higher education in mathematics. Carefully illustrated, with annotated bibliographies of sources for each article, The Companion Encyclopedia is a valuable research tool for students and teachers in all branches of mathematics.

Contents of Volume 1: •Ancient and Non-Western Traditions •The Western Middle Ages and the Renaissance •Calculus and Mathematical Analysis •Functions, Series, and Methods in Analysis •Logic, Set Theories, and the Foundations of Mathematics •Algebras and Number Theory

Contents of Volume 2: •Geometries and Topology •Mechanics and Mechanical Engineering •Physics, Mathematical Physics, and Electrical Engineering •Probability, Statistics, and the Social Sciences•Higher Education and Institutions •Mathematics and Culture •Select Bibliography, Chronology, Biographical Notes, and Index

The first comprehensive work to cover all the principal lines and themes of the history and philosophy of mathemetics from ancient times up to the 20th century. In 176 articles contributed by 160 authors, the work describes and analyzes the variety of theories, proofs, techniques, and cultural and practical applications of mathematics. Line drawings; plates; equations.

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Product Details

  • ISBN-13: 9780801873966
  • Publisher: Johns Hopkins University Press
  • Publication date: 8/28/2003
  • Pages: 976
  • Product dimensions: 5.90 (w) x 9.00 (h) x 1.84 (d)

Meet the Author

I. Grattan-Guinness is a professor emeritus of the history of mathematics and logic at Middlesex University, London. His many books include the Norton History of Mathematics.

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Table of Contents


Contents:

Volume 1

Part 1 Ancient and non-Western traditions

Part 1 The Western Middle Ages and the Renaissance

Part 3 Calculus and mathematical analysis

Part 4 Functions, series and methods in analysis

Part 5 Logics, set theories, and the foundations of mathematics

Part 6 Algebras and number theoryVolume 2 Part 7 Geometrics and topology

Part 8 Mechanics and mechanical engineering

Part 9 Physics and mathematical physics, and electrical engineering

Part 10 Probability and statistics, and the social sciences

Part 11 Higher education and institutions

Part 12 Mathematics and culture

Part 13 Reference and information

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