:an elementary survey of mathematics in its conceptual development
/ by John L. Bell
Boston
: Kluwer Academic,
, c1999.
xi, 246 p. , ill. , 25 cm.
(Western Ontario studies in philosophy of science
; v. 63)
Electronic
Includes bibliographical references (p. 235-237) and indexes.
"This book is a compact survey, at an elementary level, of some of the most important concepts of mathematics, with attention paid to their technical features, historical development, and their broader philosophical significance." "The book is intended for students and teachers in mathematics, the sciences, and philosophy; the greater part of its contents could be read by anyone with a good high school mathematics background."--BOOK JACKET.
Ch. 1. Numerals and Notation -- Ch. 2. Mathematics of Ancient Greece -- Ch. 3. Development of the Number Concept -- Ch. 4. Evolution of Algebra, I -- Ch. 5. Evolution of Algebra, II -- Ch. 6. Evolution of Algebra, III -- Ch. 7. Development of Geometry, I -- Ch. 8. Development of Geometry, II -- Ch. 9. Calculus and Mathematical Analysis -- Ch. 10. Continuous and the Discrete -- Ch. 11. Mathematics of the Infinite -- Ch. 12. Philosophy of Mathematics -- App. 1. Insolubility of Some Geometric Construction Problems -- App. 2. Godel Incompleteness Theorems -- App. 3. Calculus in Smooth Infinitesimal Analysis -- App. 4. Philosophical Thought of a Great Mathematician: Hermann Weyl.
University of Western Ontario series in philosophy of science v. 63