Mathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe

Éditeur :

Springer

Paru le : 2024-07-30

This book is an enhanced and expanded English edition of the treatise “Fondamenti matematici e analisi numerica della dinamica di un Universo isotropo,” published by the Accademia delle Scienze di Torino in volume no. 42-43, 2018-2019. The book summarizes some of the principal ?ndings from a long-te...
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Éditeur

Collection
n.c

Parution
2024-07-30

Pages
143 pages

EAN papier
9783031640322

Auteur(s) du livre


Sergio Benenti graduated in mathematics with honors in 1968. A year later he became a permanent assistant professor of Rational Mechanics, and in 1980 he was appointed full professor of Rational Mechanics. In 2021 he was awarded the title of professor emeritus. He has been a member of the Turin Academy of Sciences since 1987. His scientific activity has covered several areas of research. First, the separation of the variables of the Hamilton-Jacobi equation, solving by geometrical methods the long-standing problem posed by Levi-Civita. These results, known as Benenti systems, Benenti theorem, and Benenti tensor, have been widely accepted by researchers and have led to numerous publications. He also applied his theory to exact solutions of Einstein's equations, providing particular results that later proved to be useful in the study of black holes. Meanwhile, he worked extensively on symplectic geometry and its applications to mathematical physics. The Steklof Math Institute published (in Russian, 2009) the text of a course held in Turin on this topic. This book was followed by a revisited and expanded English version, published by Springer under the title Hamiltonian Structures and Generating Families (2011). He recently explored nonholonomic mechanical systems, providing a correct and general setting of Gauss's Principle. In addition, he presented the first feasible example of a nonlinear nonholonomic system, showing the inconsistency of several examples so far present in literature. Finally, in the last years, he focused on mathematical models of cosmology, which is currently his main area of research.

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EAN PDF
9783031640339
Prix
137,14 €
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
8786 Ko
EAN EPUB
9783031640339
Prix
137,14 €
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
26900 Ko

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