Introduction to Combinatorial Methods in Geometry
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- Engels
- Hardcover
- 9781032594705
- 07 mei 2024
- 376 pagina's
Samenvatting
This book offers an introduction to some combinatorial (also, set-theoretical) approaches and methods in geometry of the Euclidean space Rm. The topics discussed in the manuscript are due to the field of combinatorial and convex geometry.
This book offers an introduction to some combinatorial (also, set-theoretical) approaches and methods in geometry of the Euclidean space Rm. The topics discussed in the manuscript are due to the field of combinatorial and convex geometry.
The author’s primary intention is to discuss those themes of Euclidean geometry which might be of interest to a sufficiently wide audience of potential readers. Accordingly, the material is explained in a simple and elementary form completely accessible to the college and university students. At the same time, the author reveals profound interactions between various facts and statements from different areas of mathematics: the theory of convex sets, finite and infinite combinatorics, graph theory, measure theory, classical number theory, etc.
All chapters (and also the five Appendices) end with a number of exercises. These provide the reader with some additional information about topics considered in the main text of this book. Naturally, the exercises vary in their difficulty. Among them there are almost trivial, standard, nontrivial, rather difficult, and difficult. As a rule, more difficult exercises are marked by asterisks and are provided with necessary hints.
The material presented is based on the lecture course given by the author. The choice of material serves to demonstrate the unity of mathematics and variety of unexpected interrelations between distinct mathematical branches.
Productspecificaties
Inhoud
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- en
- Bindwijze
- Hardcover
- Oorspronkelijke releasedatum
- 07 mei 2024
- Aantal pagina's
- 376
Betrokkenen
- Hoofdauteur
- Alexander Kharazishvili
- Hoofduitgeverij
- Chapman & Hall/Crc
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- 156 mm
- Product lengte
- 234 mm
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- 156 mm
- Verpakking lengte
- 234 mm
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- 889 g
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- EAN
- 9781032594705
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