Mathematics A Concise History and Philosophy

ISBN-10: 0387942807

ISBN-13: 9780387942803

Edition: 1994

Authors: W. S. Anglin

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Description:

This is a concise introductory textbook for a one semester course in the history and philosophy of mathematics. It is written for mathematics majors, philosophy students, history of science students and secondary school mathematics teachers. The only prerequisite is a solid command of pre-calculus mathematics. It is shorter than the standard textbooks in that area and thus more accessible to students who have trouble coping with vast amounts of reading. Furthermore, there are many detailed explanations of the important mathematical procedures actually used by famous mathematicians, giving more mathematically talented students a greater opportunity to learn the history and philosophy by way of problem solving. Several important philosophical topics are pursued throughout the text, giving the student an opportunity to come to a full and consistent knowledge of their development. These topics include infinity, the nature of motion, and Platonism. This book offers, in fewer pages, a deep penetration into the key mathematical and philosophical aspects of the history of mathematics.
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Book details

List price: $84.95
Copyright year: 1994
Publisher: Springer
Publication date: 4/4/1996
Binding: Hardcover
Pages: 265
Size: 6.10" wide x 9.25" long x 0.30" tall
Weight: 1.188
Language: English

Preface
Mathematics for Civil Servants
The Earliest Number Theory
The Dawn of Deductive Mathematics
The Pythagoreans
The Pythagoreans and Perfection
The Pythagoreans and Polyhedra
The Pythagoreans and Irrationality
The Need for the Infinite
Mathematics in Athens Before Plato
Plato
Aristotle
In the Time of Eudoxus
Ruler and Compass Constructions
The Oldest Surviving Math Book
Euclid's Geometry Continued
Alexandria and Archimedes
The End of Greek Mathematics
Early Medieval Number Theory
Algebra in the Early Middle Ages
Geometry in the Early Middle Ages
Khayyam and the Cubic
The Later Middle Ages
Modern Mathematical Notation
The Secret of the Cubic
The Secret Revealed
A New Calculating Device
Mathematics and Astronomy
The Seventeenth Century
Pascal
The Seventeenth Century II
Leibniz
The Eighteenth Century
Lagrange
Nineteenth-Century Algebra
Nineteenth-Century Analysis
Nineteenth-Century Geometry
Nineteenth-Century Number Theory
Cantor
Foundations
Twentieth-Century Number Theory
References
Appendix A Sample Assignments and Tests
Appendix B Answers to Selected Exercises
Index
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