Book contents
- Frontmatter
- Contents
- Preface
- Part I Lattice Points and Number Theory
- Part II An Introduction to the Geometry of Numbers
- Chapter 5 Minkowski's Fundamental Theorem
- Chapter 6 Applications of Minkowski's Theorems
- Chapter 7 Linear Transformations and Integral Lattices
- Chapter 8 Geometric Interpretations of Quadratic Forms
- Chapter 9 A New Principle in the Geometry of Numbers
- Chapter 10 A Minkowski Theorem (Optional)
- Appendix I Gaussian Integers, by Peter D. Lax
- Appendix II The Closest Packing of Convex Bodies
- Appendix III Brief Biographies
- Solutions and Hints
- Bibliography
- Index
- About the Authors
Chapter 9 - A New Principle in the Geometry of Numbers
from Part II - An Introduction to the Geometry of Numbers
- Frontmatter
- Contents
- Preface
- Part I Lattice Points and Number Theory
- Part II An Introduction to the Geometry of Numbers
- Chapter 5 Minkowski's Fundamental Theorem
- Chapter 6 Applications of Minkowski's Theorems
- Chapter 7 Linear Transformations and Integral Lattices
- Chapter 8 Geometric Interpretations of Quadratic Forms
- Chapter 9 A New Principle in the Geometry of Numbers
- Chapter 10 A Minkowski Theorem (Optional)
- Appendix I Gaussian Integers, by Peter D. Lax
- Appendix II The Closest Packing of Convex Bodies
- Appendix III Brief Biographies
- Solutions and Hints
- Bibliography
- Index
- About the Authors
Summary
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- The Geometry of Numbers , pp. 119 - 128Publisher: Mathematical Association of AmericaPrint publication year: 2000