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Symmetry and the Monster : One of the greatest quests of mathematics
 
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Symmetry and the Monster : One of the greatest quests of mathematics [Format Kindle]

Mark Ronan
5.0 étoiles sur 5  Voir tous les commentaires (1 commentaire client)

Prix conseillé : EUR 10,60 De quoi s'agit-il ?
Prix éditeur - format imprimé : EUR 13,43
Prix Kindle : EUR 7,42 TTC & envoi gratuit via réseau sans fil par Amazon Whispernet
Économisez : EUR 6,01 (45%)

  • Longueur : 264 pages
  • A cause de la taille importante du fichier, ce livre peut prendre plus de temps à être téléchargé
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Format Kindle EUR 7,42  
Relié EUR 19,05  
Broché EUR 12,70  

Descriptions du produit

Description

Ronan unfolds his story with admirable verve and clarity... [His] exposition includes entertaining glimpses of the personalities involved in this extraordinary quest, but best of all gives an admirabe amount of detail concerning the actual substance of their work. (Peter Pesic. TLS )

...accessible, artfully written...it stresses the human side of the drama. Though I have been a long-time participant in the story, I found myself learning much in every chapter and not wanting to put the book down. (Robert L. Griess Jr. )

Ronan does a good job of describing the mathematics in broad strokes and giving a flavour of what is happening and - more importantly - why mathematicians get excited about these questions. (The Mathematical Association of America )

This book tells for the first time the fascinating story of the biggest theorem ever to have been proved. Mark Ronan graphically describes not only the last few decades of the chase and the intriguing characters who led it, but also some of the more interesting byways, including my personal favourite, the one I called 'Monstrous Moonshine'. (John H. Conway, F.R.S. )

Ronan tells a good story, and in doing so he paints a convincing picture of how mathematicians conduct their research. (Gareth Jones, London Mathematical Society Newsletter )

Présentation de l'éditeur

The hunt for the 'Monster' of symmetry is one of the great mathematical quests, alongside Fermat's Last Theorem, the Riemann Hypothesis, and Poincar--eacute--; Conjecture. The Monster is a giant snowflake in 196,884 dimensions - the largest exception to our neat classifications of symmetry, with a beautiful structure which may turn out to unlock our understanding of symmetry, string theory, and the very fabric of our universe. The story of its discovery became the biggest joint mathematical project of all time - involving determination, luck, and some very extraordinary characters. - ;Mathematics is being driven forward by the quest to solve a small number of major problems - generating excitement in the mathematical world and beyond. Four famous challenges have been Fermat's Last Theorem, the Riemann Hypothesis, Poincar--eacute--;'s Conjecture, and, now, the quest for the 'Monster' of Symmetry. It is this latter that forms the topic of this book. Although its roots go back much further, the quest to understand symmetry really begins with the tragic young genius Evariste Galois, who died at the age of 20 in a duel. He used symmetry to understand algebraic equations, and he discovered that there were building blocks or 'atoms of symmetry'. Most fit into a table, rather like the periodic table of elements, but there are 26 exceptions. The biggest of these was dubbed 'the Monster' - a giant snowflake in 196,884 dimensions. At first the Monster was only dimly seen. Did it really exist, or was it a mirage? Many mathematicians became involved. The Monster became clearer, and it was no longer monstrous but a beautiful form that pointed out deep connections between symmetry, string theory, and the very fabric and form of the universe. The story of the discovery involves some extraordinary characters, and Mark Ronan brings these people to life, and recreates in accessible language the growing excitement of what became the biggest joint project ever in the field of mathematics - the hunt for the Monster. - ;...includes entertaining glimpses of the personalities involved ...but best of all gives an admirable amount of detail... - TLS;a fascinating book that will appeal to anyone with an appetite for exploration and discovery, and which is accessble to all. -

Détails sur le produit

  • Format : Format Kindle
  • Taille du fichier : 30299 KB
  • Nombre de pages de l'édition imprimée : 264 pages
  • Pagination - ISBN de l'édition imprimée de référence : 0192807226
  • Editeur : Oxford University Press (18 mai 2006)
  • Vendu par : Amazon Media EU S.à r.l.
  • Langue : Anglais
  • ASIN: B000SEJ3YC
  • Synthèse vocale : Activée
  • Moyenne des commentaires client : 5.0 étoiles sur 5  Voir tous les commentaires (1 commentaire client)
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Mark Ronan
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5.0 étoiles sur 5 The insigth into symmetry, 9 avril 2011
Par 
Dr. Bojan Tunguz (Indiana, USA) - Voir tous mes commentaires
(VRAI NOM)   
Ce commentaire fait référence à cette édition : Symmetry and the Monster: One of the greatest quests of mathematics (Broché)
One of the greatest achievements of the 20th century mathematics has been the classification of the finite simple groups. Groups are mathematical objects that tells us about symmetries, and like many other mathematical objects they are relatively easy to describe, but can be fiendishly difficult to fully understand. Sometimes understanding comes from a single brilliant insights by an incredibly gifted individual, and these individuals become part of the mathematical lore that can even touch upon the popular imagination. However, most of the time these days the game of mathematics has become complex enough that it can become increasingly difficult for any individual to fully contribute to on its own to the full problem. Professional mathematicians don't mind this at all: they thrive in collaborations and feed off of each other's work and enthusiasm. The collaborative nature of mathematics is at full display when it comes to the classification of finite simple groups, an effort that spanned hundreds of articles in scientific journals between 1955 and 1983. I have always been curious to find out more about this enterprise, and this book does a remarkable job at presenting it to the general reader. It is comprehensive without becoming technically hard to follow. Anyone who has ever taken a college level mathematics course should be able to read it without much difficulty, although some basic understanding of group theory and modern algebra would be great bonus. The book also doesn't dumb down mathematics to the point that it becomes irritating for those who have some mathematical sophistication, so even professional scientists and mathematicians can find it very informative and a rewarding read.

And if you are curious, the Monster from the title refers to the special simple finite group that has been one of the most fascinating mathematical objects discovered so far.
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Passages les plus surlignés

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&quote;
they form what we call the symmetry group of the cube. Those that can be done using rotations  there are 24 of them1  form a sub-group. &quote;
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&quote;
building, or multi-crystal, built out of hexagons is a network of edges satisfying two conditions: there can be no circuit of fewer than six edges; and any two edges must lie on at least one common hexagonal circuit. &quote;
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&quote;
rotations has size 60, and turns out to be the smallest atom of symmetry that needs more than two dimensions. &quote;
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