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Lagerungen Arrangements in the Plane, on the Sphere, and in Space
Author
Title
Lagerungen [electronic resource] : Arrangements in the Plane, on the Sphere, and in Space / by László Fejes Tóth, Gábor Fejes Tóth, Włodzimierz Kuperberg.
ISBN
9783031218002
Edition
1st ed. 2023.
Publication
Cham : Springer International Publishing : Imprint: Springer, 2023.
Physical Description
1 online resource (XXIV, 442 p.) 127 illus.
Local Notes
Access is available to the Yale community.
Access and use
Access restricted by licensing agreement.
Summary
The publication of the first edition of Lagerungen in der Ebene, auf der Kugel und im Raum in 1953 marked the birth of discrete geometry. Since then, the book has had a profound and lasting influence on the development of the field. It included many open problems and conjectures, often accompanied by suggestions for their resolution. A good number of new results were surveyed by László Fejes Tóth in his Notes to the 2nd edition. The present version of Lagerungen makes this classic monograph available in English for the first time, with updated Notes, completed by extensive surveys of the state of the art. More precisely, this book consists of: a corrected English translation of the original Lagerungen, the revised and updated Notes on the original text, eight self-contained chapters surveying additional topics in detail. The English edition provides a comprehensive update to an enduring classic. Combining the lucid exposition of the original text with extensive new material, it will be a valuable resource for researchers in discrete geometry for decades to come.
Variant and related titles
Springer ENIN.
Other formats
Printed edition:
Printed edition:
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
April 05, 2023
Series
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 360
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 360
Contents
Part I. Lagerungen - Arrangements in the Plane, on the Sphere, and in Space
1. Some Theorems from Elementary Geometry
2. Theorems from the Theory of Convex Bodies
3. Problems on Packing and Covering in the Plane
4. Efficiency of Packings and Coverings with a Sequence of Convex Disks
5. Extremal Properties of Regular Polyhedra
6. Irregular Packing on the Sphere
5. Packing in Space
Part II. Notes and Additional Chapters to the English Edition
8. Notes
9. Finite Variations on the Isoperimetric Problem
10. Higher Dimensions
11. Ball Packings in Hyperbolic Space
12. Mutliple Arrangements
13. Neighbors
14. Packing and Covering Properties fo Sequences of Convex Bodies
15. Four Classic Problems
16. Miscellaneous Problems about Packing and Covering
References for Part I
References for Part II
Name Index
Subject Index.
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