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Description
Rational Quadratic FormsThis 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,
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.Binding Type: Paperback
Publisher: Dover Publications
Published: 08/08/2008
ISBN: 9780486466705
Pages: 413
Weight: 0.98lbs
Size: 8.49h x 5.47w x 0.88d
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4.7 ★★★★★
Based on 658 reviews
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Product Reviews
★★★★★ 1
Not for aggressive chewers!
Color: H) Infinity Ring, Color: H) Infinity Ring
Not for aggressive chewers! Done for in about two minutes. I unboxed this and tugged with my Mal for a but then let her have it. Within minutes she had chewed through it. Not worth the money.
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Reviewed in the United States on April 10, 2026
★★★★★ 4
Dog ball
Color: A) Small 2.5" Ball
My dog enjoys but smaller than expected
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Reviewed in the United States on May 20, 2026
★★★★★ 5
Great tough ball
Color: A) Small 2.5" Ball
Great ball for dogs who like to destroy most any ball. Our girl loves this. Yay!!!
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Reviewed in the United States on March 17, 2026
★★★★★ 3
Not Quite So Durable...
Color: B) Medium 3" Ball, Color: B) Medium 3" Ball
Maybe I have a SUPER aggressive chewer...he went through this ball in under a week. I originally bought the ball because of a review that stated the owner's Pitbull had the same ball for two years; not so much for my Rottweiler. He started chewing off and swallowing small crumbs from the ball within a day or two. By the end of the week, it was chunks so I had to toss it in the trash to prevent an intestinal obstruction. On the up side, my Rottweiler LOVED the ball while it lasted. However, I can't, in good conscience, give this ball a rave review based on this experience. Please take this review with a grain of salt as I have yet to find ANY toy that my boy won't DESTROY in a week or two. I hope that someone finds this informative when searching for chew toys for SUPER aggressive chewers like mine.
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Reviewed in the United States on March 16, 2026
★★★★★ 5
A book that hugs back.
Format: Hardcover, Format: Hardcover
I picked this book for my brother-in-law when we were celebrating my sister’s pregnancy, and the title ‘Why a daughter needs a dad’ sealed the deal. The illustrations are beautiful and full of tenderness. The messages on each page are simple and meaningful. I could so clearly picture him reading it to his baby girl someday. It’s the kind of book that isn’t just read – it’s felt. A thoughtful gift for someone you love – especially during such a special season of life.
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Reviewed in the United States on February 13, 2026