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This title in other editionsThe sensual quadratic formby John H Conway
Synopses & ReviewsPublisher Comments:The distinguished mathematician John Conway presents quadratic forms in a pictorial way that enables the reader to understand them mathematically without proving theorems in the traditional fashion. One learns to sense their properties. In his customary enthusiastic style, Conway uses his theme to cast light on all manner of mathematical topics from algebra, number theory and geometry, including many new ideas and features. Book News Annotation:Though pairing sensual with quadratic may seem oxymoronic, Conway
(mathematics, Princeton U.) seeks beauty in form like mathematicians
since Pythagoras. Based on lectures at the 1991 Joint Meetings of the
American Mathematical Society/Mathematical Association of America,
the discoverer of surreal numbers (and inventor of the mathematical
game of Life), conveys to non- specialists as well as peers (with
technical afterthoughts) his thesis that one can appreciate such
forms with all the senses. Intriguing titles include: "Can you hear
the shape of a lattice?" "The primary fragrances." "A taste of number
theory."
Annotation c. Book News, Inc., Portland, OR (booknews.com) Synopsis:Real mathematics without theorems by John Conway. Table of ContentsPreface; 1. The first lecture: can you see the values of 2x2 + 6xy - 5y2?; 2. Afterthoughts: PSL2(Z) and Farey functions; 3. The second lecture: can you hear the shape of a lattice?; 4. Afterthoughts: Kneser's gluing method - unimodular lattices; 5. The third lecture: ... and can you feel its form?; 6. Afterthoughts: feeling the the form of a four dimensional lattice; 7. The fourth lecture: the primary fragrances; 8. Afterthought: more about the invariants - p-adic numbers; 9. Postscript: a taste of number theory; Bibliography.
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