Galilean Mechanics and Thermodynamics of Continua
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"Galilean Mechanics and Thermodynamics of Continua" by Géry de Saxcé, Claude Valleé is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.
This title proposes a unified approach to continuum mechanics which is consistent with Galilean relativity. Based on the notion of affine tensors, a simple generalization of the classical tensors, this approach allows gathering the usual mechanical entities - mass, energy, force, moment, stresses, linear and angular momentum - in a single tensor. Starting with the basic subjects, and continuing through to the most advanced topics, the authors' presentation is progressive, inductive and bottom-up. They begin with the concept of an affine tensor, a natural extension of the classical tensors. The simplest types of affine tensors are the points of an affine space and the affine functions on this space, but there are more complex ones which are relevant for mechanics - torsors and momenta. The essential point is to derive the balance equations of a continuum from a unique principle which claims that these tensors are affine-divergence free.--
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"Galilean Mechanics and Thermodynamics of Continua" by Géry de Saxcé, Claude Valleé is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Dynamics
Author: Géry de Saxcé, Claude Valleé
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
This title proposes a unified approach to continuum mechanics which is consistent with Galilean relativity. Based on the notion of affine tensors, a simple generalization of the classical tensors, this approach allows gathering the usual mechanical entities - mass, energy, force, moment, stresses, linear and angular momentum - in a single tensor. Starting with the basic subjects, and continuing through to the most advanced topics, the authors' presentation is progressive, inductive and bottom-up. They begin with the concept of an affine tensor, a natural extension of the classical tensors. The simplest types of affine tensors are the points of an affine space and the affine functions on this space, but there are more complex ones which are relevant for mechanics - torsors and momenta. The essential point is to derive the balance equations of a continuum from a unique principle which claims that these tensors are affine-divergence free.--
| Author | Géry de Saxcé, Claude Valleé |
| Publisher | John Wiley & Sons |
| Published | 2016-02-08 |
| ISBN-13 | 9781848216426 |
| Binding | Hardcover |
| Pages | 446 |
| Language | English |
| Subjects | Mathematics |
| Topic | Dynamics |
Format: Hardcover
Length: 446 pages
Language: English
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