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.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Maße
Höhe: 215 mm
Breite: 148 mm
Dicke: 18 mm
Gewicht
ISBN-13
978-0-88385-030-5 (9780883850305)
Schweitzer Klassifikation
Autor*in
Princeton University, New Jersey
Unterstützt von
Preface; 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 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.
