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2021, ISBN: 9783642062070

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Geon Ho Choe:

Computational Ergodic Theory - Livres de poche

ISBN: 9783642062070

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… Plus…

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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… Plus…

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Choe, Geon Ho:
Computational Ergodic Theory - Livres de poche

2010, ISBN: 3642062075

Edition reliée

Softcover reprint of hardcover 1st ed. 2005 Kartoniert / Broschiert Mathematische Physik, Mathematik für Ingenieure, LyapunovExponent; Maplesimulations; dynamicalsystems; entropy; ergod… Plus…

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Geon Ho Choe:
Computational Ergodic Theory - Première édition

2010, ISBN: 9783642062070

Livres de poche

Buch, Softcover, Softcover reprint of hardcover 1st ed. 2005, [PU: Springer Berlin], Springer Berlin, 2010

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Détails sur le livre
Computational Ergodic Theory

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.

Informations détaillées sur le livre - Computational Ergodic Theory


EAN (ISBN-13): 9783642062070
ISBN (ISBN-10): 3642062075
Version reliée
Livre de poche
Date de parution: 2010
Editeur: Springer Berlin
476 Pages
Poids: 0,713 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2012-02-15T10:05:22+01:00 (Paris)
Page de détail modifiée en dernier sur 2023-03-23T08:06:08+01:00 (Paris)
ISBN/EAN: 9783642062070

ISBN - Autres types d'écriture:
3-642-06207-5, 978-3-642-06207-0
Autres types d'écriture et termes associés:
Auteur du livre: choe
Titre du livre: ergodic theory and


Données de l'éditeur

Auteur: Geon Ho Choe
Titre: Algorithms and Computation in Mathematics; Computational Ergodic Theory
Editeur: Springer; Springer Berlin
453 Pages
Date de parution: 2010-10-21
Berlin; Heidelberg; DE
Imprimé / Fabriqué en
Langue: Anglais
54,99 € (DE)

BC; Hardcover, Softcover / Mathematik/Analysis; Kybernetik und Systemtheorie; Verstehen; Lyapunov exponent; Maple simulations; dynamical systems; entropy; ergodic theory; linear optimization; simulation; Dynamical Systems; Theoretical, Mathematical and Computational Physics; Mathematical and Computational Engineering Applications; Mathematische Physik; Mathematik für Ingenieure; BB

Prerequisites.- Invariant Measures.- The Birkhoff Ergodic Theorem.- The Central Limit Theorem.- More on Ergodicity.- Homeomorphisms of the Circle.- Mod 2 Uniform Distribution.- Entropy.- The Lyapunov Exponent: One-Dimensional Case.- The Lyapunov Exponent: Multidimensional Case.- Stable and Unstable Manifolds.- Recurrence and Entropy.- Recurrence and Dimension.- Data Compression.

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9783540231219 Computational Ergodic Theory (Algorithms and Computation in Mathematics, Vol. 13) (Algorithms and Computation in Mathematics (13)) (Choe, Geon Ho)


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