Overview
- First English translation of the classic monograph on packing and related problems
- Supplemented by extensive surveys on recent progress in the field, including sphere packings
- Includes a foreword by Tom Hales who solved the Kepler conjecture
Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 360)
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Table of contents (16 chapters)
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Front Matter
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Lagerungen – Arrangements in the Plane,on the Sphere, and in Space
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Front Matter
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Notes and Additional Chapters to the English Edition
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Lagerungen
Book Subtitle: Arrangements in the Plane, on the Sphere, and in Space
Authors: László Fejes Tóth, Gábor Fejes Tóth, Włodzimierz Kuperberg
Series Title: Grundlehren der mathematischen Wissenschaften
DOI: https://doi.org/10.1007/978-3-031-21800-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-21799-9Published: 28 March 2023
Softcover ISBN: 978-3-031-21802-6Published: 29 March 2024
eBook ISBN: 978-3-031-21800-2Published: 27 March 2023
Series ISSN: 0072-7830
Series E-ISSN: 2196-9701
Edition Number: 1
Number of Pages: XXIV, 442
Number of Illustrations: 127 b/w illustrations
Additional Information: Translated from the German language edition “Lagerungen in der Ebene auf der Kugel und im Raum” by László Fejes Tóth, volume 65 of Grundlehren der mathematischen Wissenschaften, © Springer-Verlag Berlin Heidelberg 1953, 1972
Topics: Mathematics, general