Die Keplersche Vermutung
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Die Keplersche Vermutung
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Author : George G. Szpiro
language : de
Publisher: Springer-Verlag
Release Date : 2011-01-18
Die Keplersche Vermutung written by George G. Szpiro and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-18 with Mathematics categories.
Sir Walter Raleigh wollte wissen, wie Kanonenkugeln in einem Schiff am dichtesten gestapelt werden können. Der Astronom Johannes Kepler lieferte im Jahr 1611 die Antwort: genau so, wie Gemüsehändler ihre Orangen und Tomaten aufstapeln. Noch war dies lediglich eine Vermutung – erst 1998 gelang dem amerikanischen Mathematiker Thomas Hales mit Hilfe von Computern der mathematische Beweis. Einer der besten Autoren für populärwissenschaftliche Mathematik beschreibt auf faszinierende Art und Weise ein berühmtes mathematisches Problem und dessen Lösung.
Die Keplersche Vermutung
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Author : George G. Szpiro
language : de
Publisher: Springer
Release Date : 2011-02-07
Die Keplersche Vermutung written by George G. Szpiro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-07 with Mathematics categories.
Sir Walter Raleigh wollte wissen, wie Kanonenkugeln in einem Schiff am dichtesten gestapelt werden können. Der Astronom Johannes Kepler lieferte im Jahr 1611 die Antwort: genau so, wie Gemüsehändler ihre Orangen und Tomaten aufstapeln. Noch war dies lediglich eine Vermutung – erst 1998 gelang dem amerikanischen Mathematiker Thomas Hales mit Hilfe von Computern der mathematische Beweis. Einer der besten Autoren für populärwissenschaftliche Mathematik beschreibt auf faszinierende Art und Weise ein berühmtes mathematisches Problem und dessen Lösung.
Die Keplersche Vermutung
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AUDIOBOOK
Author : George G. Szpiro
language : de
Publisher: Springer
Release Date : 2011-02-07
Die Keplersche Vermutung written by George G. Szpiro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-07 with Mathematics categories.
Sir Walter Raleigh wollte wissen, wie Kanonenkugeln in einem Schiff am dichtesten gestapelt werden können. Der Astronom Johannes Kepler lieferte im Jahr 1611 die Antwort: genau so, wie Gemüsehändler ihre Orangen und Tomaten aufstapeln. Noch war dies lediglich eine Vermutung – erst 1998 gelang dem amerikanischen Mathematiker Thomas Hales mit Hilfe von Computern der mathematische Beweis. Einer der besten Autoren für populärwissenschaftliche Mathematik beschreibt auf faszinierende Art und Weise ein berühmtes mathematisches Problem und dessen Lösung.
The Kepler Conjecture
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Author : Jeffrey C. Lagarias
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-09
The Kepler Conjecture written by Jeffrey C. Lagarias and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-09 with Mathematics categories.
The Kepler conjecture, one of geometry's oldest unsolved problems, was formulated in 1611 by Johannes Kepler and mentioned by Hilbert in his famous 1900 problem list. The Kepler conjecture states that the densest packing of three-dimensional Euclidean space by equal spheres is attained by the “cannonball" packing. In a landmark result, this was proved by Thomas C. Hales and Samuel P. Ferguson, using an analytic argument completed with extensive use of computers. This book centers around six papers, presenting the detailed proof of the Kepler conjecture given by Hales and Ferguson, published in 2006 in a special issue of Discrete & Computational Geometry. Further supporting material is also presented: a follow-up paper of Hales et al (2010) revising the proof, and describing progress towards a formal proof of the Kepler conjecture. For historical reasons, this book also includes two early papers of Hales that indicate his original approach to the conjecture. The editor's two introductory chapters situate the conjecture in a broader historical and mathematical context. These chapters provide a valuable perspective and are a key feature of this work.
The Kepler Conjecture
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Author : Samuel P. Ferguson
language : en
Publisher:
Release Date : 2006
The Kepler Conjecture written by Samuel P. Ferguson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Least Action Principle Of Crystal Formation Of Dense Packing Type And Kepler S Conjecture
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Author : Wu-yi Hsiang
language : en
Publisher: World Scientific
Release Date : 2001-12-26
Least Action Principle Of Crystal Formation Of Dense Packing Type And Kepler S Conjecture written by Wu-yi Hsiang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-26 with Mathematics categories.
The dense packing of microscopic spheres (i.e. atoms) is the basic geometric arrangement in crystals of mono-atomic elements with weak covalent bonds, which achieves the optimal “known density” of B/√18. In 1611, Johannes Kepler had already “conjectured” that B/√18 should be the optimal “density” of sphere packings. Thus, the central problems in the study of sphere packings are the proof of Kepler's conjecture that B/√18 is the optimal density, and the establishing of the least action principle that the hexagonal dense packings in crystals are the geometric consequence of optimization of density. This important book provides a self-contained proof of both, using vector algebra and spherical geometry as the main techniques and in the tradition of classical geometry.
The Kepler Conjecture
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Author :
language : en
Publisher: Springer
Release Date : 2011-11-09
The Kepler Conjecture written by and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-09 with categories.
Die Fabelhafte Welt Der Mathematik
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Author : Manon Bischoff
language : de
Publisher: Springer-Verlag
Release Date : 2024-03-13
Die Fabelhafte Welt Der Mathematik written by Manon Bischoff and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-13 with Mathematics categories.
Ein Kampf gegen die US-amerikanische Geheimdienstbehörde NSA, eine Krankenschwester, die zu Unrecht ins Gefängnis musste, und ein mysteriöses Duell um eine Frau, das mit dem tragischen Tod eines 20-Jährigen endet: Das sind keine erfundenen Geschichten aus einem Spionage-Thriller, sondern wahre Geschehnisse, die sich rund um die Erforschung von Mathematikereignet haben. Denn Mathematik muss nicht abstrakt, kompliziert oder öde sein, wie manche Leute annehmen. Tatsächlich lauert hinter der zurückhaltenden Fassade des Fachs eine faszinierende Welt voller Überraschungen. Begeben Sie sich mit Manon Bischoff auf eine Reise durch die verschiedenen mathematischen Landschaften und lernen Sie, wie man eine Praline auf magische Weise verdoppelt; was die langweiligste Zahl der Welt ist oder warum Katzen einen Sturz aus jeder Höhe überleben können. Stimme zum Buch „Die meisten Menschen wissen noch nicht, dass sie sich fürMathematik interessieren. Das Buch von Manon Bischoff kann diese Wissenslücke hervorragend schließen.“ Florian Freistetter
Lagerungen
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Author : László Fejes Tóth
language : en
Publisher: Springer Nature
Release Date : 2023-04-28
Lagerungen written by László Fejes Tóth and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-28 with Mathematics categories.
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.
Dense Sphere Packings
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Author : Thomas Hales
language : en
Publisher: Cambridge University Press
Release Date : 2012-09-06
Dense Sphere Packings written by Thomas Hales and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-06 with Mathematics categories.
The 400-year-old Kepler conjecture asserts that no packing of congruent balls in three dimensions can have a density exceeding the familiar pyramid-shaped cannonball arrangement. In this book, a new proof of the conjecture is presented that makes it accessible for the first time to a broad mathematical audience. The book also presents solutions to other previously unresolved conjectures in discrete geometry, including the strong dodecahedral conjecture on the smallest surface area of a Voronoi cell in a sphere packing. This book is also currently being used as a blueprint for a large-scale formal proof project, which aims to check every logical inference of the proof of the Kepler conjecture by computer. This is an indispensable resource for those who want to be brought up to date with research on the Kepler conjecture.
