Mathematical Foundations Of Nonextensive Statistical Mechanics

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Sabir Umarov (Univ Of New Haven, Usa) Tsallis Constantino (Centro Brasileiro De Pesquisas Fisicas, Brazil)

Mathematical Foundations Of Nonextensive Statistical Mechanics

Sabir Umarov (Univ Of New Haven, Usa), Tsallis Constantino (Centro Brasileiro De Pesquisas Fisicas, Brazil)

$247.95 $198.24

Hardback

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English

World Scientific Publishing Co Pte Ltd
30 March 2022

Non-linear science

Summary
Details

The book is devoted to the mathematical foundations of nonextensive statistical mechanics. This is the first book containing the systematic presentation of the mathematical theory and concepts related to nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs statistical mechanics introduced in 1988 by one of the authors and based on a nonadditive entropic functional extending the usual Boltzmann-Gibbs-von Neumann-Shannon entropy. Main mathematical tools like the q-exponential function, q-Gaussian distribution, q-Fourier transform, q-central limit theorems, and other related objects are discussed rigorously with detailed mathematical rational. The book also contains recent results obtained in this direction and challenging open problems. Each chapter is accompanied with additional useful notes including the history of development and related bibliographies for further reading.

By: Sabir Umarov (Univ Of New Haven Usa), Tsallis Constantino (Centro Brasileiro De Pesquisas Fisicas, Brazil)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
ISBN: 9789811245152
ISBN 10: 9811245150
Pages: 336
Publication Date: 30 March 2022
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

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Mathematical Foundations Of Nonextensive Statistical Mechanics

Sabir Umarov (Univ Of New Haven, Usa), Tsallis Constantino (Centro Brasileiro De Pesquisas Fisicas, Brazil)

$247.95 $198.24

Hardback

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