Lecture Notes on Geometry of Numbers
This book serves as an illuminating introduction to the intricacies of the geometry of numbers. It commences by exploring basic concepts of convex sets and lattices in Euclidean space and goes on to delve into Minkowski’s fundamental theorem for convex bodies and its applications. It discusses criti...
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| Materyal Türü: | Elektronik Ekitap |
| Dil: | İngilizce |
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Singapore :
Springer Nature Singapore : Imprint: Springer,
2024.
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| Edisyon: | 1st ed. 2024. |
| Seri Bilgileri: | University Texts in the Mathematical Sciences,
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| Konular: | |
| Online Erişim: | https://doi.org/10.1007/978-981-99-9602-5 |
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İçindekiler:
- 1. Preliminaries
- 2. Minkowski's Fundamental Theorem and its Applications
- 3. Lattices
- 4. Minima of Positive De nite Quadratic Forms
- 5. Critical Determinant
- 6. Successive Minima
- 7. Packings Density
- 8. Coverings
- 9. Homogeneous Minimum
- 10. Inhomogeneous Problems.