Computational Ergodic Theory

Geon Ho Choe

ISBN 10: 3642062075 / ISBN 13: 9783642062070

Edité par Springer Berlin Heidelberg, Springer Berlin Heidelberg Okt 2010, 2010

A propos de cet article

Neuware -Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually absorbed while doing computer experiments. Theoretically less prepared students can appreciate the deep theorems by doing various simulations. The computer experiments are simple but they have close ties with theoretical implications. Even the researchers in the field can benefit by checking their conjectures, which might have been regarded as unrealistic to be programmed easily, against numerical output using some of the ideas in the book. One last remark: The last chapter explains the relation between entropy and data compression, which belongs to information theory and not to ergodic theory. It will help students to gain an understanding of the digital technology that has shaped the modern information society.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 476 pp. Englisch.

N° de réf. du vendeur 9783642062070

Détails bibliographiques

• Titre: Computational Ergodic Theory
• Éditeur: Springer Berlin Heidelberg, Springer Berlin Heidelberg Okt 2010
• Date de parution: 2010
• Langue: anglais
• ISBN à 10 chiffres: 3642062075
• ISBN à 13 chiffres: 9783642062070
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 26 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 26 millimètres de profondeur
• Poids: 715 grammes

A propos de ce titre

Synopsis

Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually absorbed while doing computer experiments. Theoretically less prepared students can appreciate the deep theorems by doing various simulations. The computer experiments are simple but they have close ties with theoretical implications. Even the researchers in the field can benefit by checking their conjectures, which might have been regarded as unrealistic to be programmed easily, against numerical output using some of the ideas in the book. One last remark: The last chapter explains the relation between entropy and data compression, which belongs to information theory and not to ergodic theory. It will help students to gain an understanding of the digital technology that has shaped the modern information society.