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Development of the Minkowski Geometry of Numbers Volume 1
by Harris Hancock

ISBN: 0486446468
Dover Publications Price: $67.50
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Before these brilliant expositions, Minkowski's pioneering writings were accessible only to specialists. This classic two-volume work focuses primarily on geometric problems involving integers and algebraic problems approachable through geometrical insights. It demonstrates the simplicity and elegance of number theory proofs and theorems and illuminates many other algebraic and geometric topics.

Table of Contents for Development of the Minkowski Geometry of Numbers Volume 1
1. Preliminary Notions and Historical Notes
2. Surfaces That Are Nowhere Concave
3. The Volume of Bodies
4. Bodies Which with Respect to Their Volumes Have More Than One Point with Integral Coordinates
5. Applications of the Preceding Investigations
6. Algebraic Numbers
7. Arithmetical Theory of a Pair of Lines; Theory of Continued Fractions and of the Real Quadratic Irrational Numbers
8. Shorter Papers by Minkowski. Historical
9. A Criterion for Algebraic Numbers
10. The Theory of Continued Fractions

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