Math through the ages:a gentle history for teachers and others
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Main Authors: | |
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Group Author: | ; |
Published: |
Mathematical Association of America,
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Publisher Address: | Washington, DC |
Publication Dates: | c2004. |
Literature type: | Book |
Language: | English |
Edition: | Expanded ed. |
Series: |
Classroom resource materials |
Subjects: | |
Carrier Form: | xii, 273 p.: ill. ; 24 cm. |
ISBN: | 0883857367 |
Index Number: | O11 |
CLC: | O11 |
Call Number: | O11/B515/expa.ed. |
Contents: |
Includes bibliographical references (p. 253-262) and index. History in the mathematics classroom -- The history of mathematics in a large nutshell -- Beginnings -- Greek mathematics -- Meanwhile, in India -- Arabic mathematics -- Medieval Europe -- The 15th and 16th centuries -- Algebra comes of age -- Calculus and applied mathematics -- Rigor and professionalism -- Abstraction, computers, and new applications -- Mathematics today -- Sketches -- 1. Keeping count : writing whole numbers -- 2. Reading and writing arithmetic : where the symbols came from -- 3. Nothing becomes a number : the story of zero -- 4. Broken numbers : writing fractions -- 5. Something less than nothing? : negative numbers -- 6. By tens and tenths : metric measurement -- 7. Measuring the circle : the story of p -- 8. The Cossic art : writing algebra with symbols -- 9. Linear thinking : solving first degree equations -- 10. A square and things : quadratic equations -- 11. Intrigue in renaissance Italy : solving cubic equations -- 12. A cheerful fact : the Pythagorean theorem -- 13. A marvelous proof : Fermat's last theorem -- 14. On beauty bare : Euclid's plane geometry -- 15. In perfect shape : the Platonic solids -- 16. Shapes by the numbers : coordinate geometry -- 17. Impossible, imaginary, useful : complex numbers -- 18. Half is better : sine and cosine -- 19. Strange new worlds : the non-Euclidean geometries -- 20. In the eye of the beholder : projective geometry -- 21. What's in a game? : the start of probability theory -- 22. Making sense of data : statistics becomes a science -- 23. Machines that think? : electronic computers -- 24. The arithmetic of reasoning : logic and boolean algebra -- 25. Beyond counting : infinity and the theory of sets -- What to read next -- The reference shelf -- Fifteen historical books you ought to read -- The Internet and other media. |