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Basic Quadratic Forms
About this Title
Larry J. Gerstein, University of California, Santa Barbara, Santa Barbara, CA
Publication: Graduate Studies in Mathematics
Publication Year:
2008; Volume 90
ISBNs: 978-0-8218-4465-6 (print); 978-1-4704-1159-6 (online)
DOI: https://doi.org/10.1090/gsm/090
MathSciNet review: MR2396246
MSC: Primary 11Exx; Secondary 11-01, 11E08, 11E12, 11H71, 94A60
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. A brief classical introduction
- Chapter 2. Quadratic spaces and lattices
- Chapter 3. Valuations, local fields, and $p$-adic numbers
- Chapter 4. Quadratic spaces over $\mathbb {Q}_p$
- Chapter 5. Quadratic spaces over $\mathbb {Q}$
- Chapter 6. Lattices over principal ideal domains
- Chapter 7. Initial integral results
- Chapter 8. Local classification of lattices
- Chapter 9. The local-global approach to lattices
- Chapter 10. Lattices over $\mathbb {F}_q[x]$
- Chapter 11. Applications to cryptography
- Appendix. Further reading