Ebook Info
- Published: 2008
- Number of pages: 432 pages
- Format: PDF
- File Size: 33.15 MB
- Authors: J. W. S. Cassels
Description
This exploration of quadratic forms over rational numbers and rational integers offers an excellent elementary introduction to many aspects of a classical subject, including recent developments. The author, a Professor Emeritus at Trinity College, University of Cambridge, offers a largely self-contained treatment that develops most of the prerequisites.Topics include the theory of quadratic forms over local fields, forms with integral coefficients, genera and spinor genera, reduction theory for definite forms, and Gauss’ composition theory. The final chapter explains how to formulate the proofs in earlier chapters independently of Dirichlet’s theorems related to the existence of primes in arithmetic progressions. Specialists will particularly value the several helpful appendixes on class numbers, Siegel’s formulas, Tamagawa numbers, and other topics. Each chapter concludes with many exercises and hints, plus notes that include historical remarks and references to the literature.
User’s Reviews
Reviews from Amazon users which were colected at the time this book was published on the website:
⭐The author is a master at writing and giving clear explanations. Thenecessary tools needed are developed in the text which provide fora self contained text. I recommend the book to the undergraduateor graduate who is looking for a great read. It was a fun book tostudy. The subject is beautiful.
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