Cardin, Franco
Overview
| Works: | 16 works in 33 publications in 2 languages and 361 library holdings |
|---|---|
| Roles: | Author, Contributor, Editor |
| Classifications: | QA935, 620.1123 |
Publication Timeline
.
Most widely held works by
Franco Cardin
Elementary symplectic topology and mechanics by
Franco Cardin(
)
15 editions published between 2014 and 2015 in English and held by 326 WorldCat member libraries worldwide
This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics. A central feature is the systematic utilization of Lagrangian submanifolds and their Maslov-Hörmander generating functions. Following this line of thought, first introduced by Wlodemierz Tulczyjew, geometric solutions of Hamilton-Jacobi equations, Hamiltonian vector fields and canonical transformations are described by suitable Lagrangian submanifolds belonging to distinct well-defined symplectic structures. This unified point of view has been particularly fruitful in symplectic topology, which is the modern Hamiltonian environment for the calculus of variations, yielding sharp sufficient existence conditions. This line of investigation was initiated by Claude Viterbo in 1992; here, some primary consequences of this theory are exposed in Chapter 8: aspects of Poincaré's last geometric theorem and the Arnol'd conjecture are introduced. In Chapter 7 elements of the global asymptotic treatment of the highly oscillating integrals for the Schrödinger equation are discussed: as is well known, this eventually leads to the theory of Fourier Integral Operators. This short handbook is directed toward graduate students in Mathematics and Physics and to all those who desire a quick introduction to these beautiful subjects
15 editions published between 2014 and 2015 in English and held by 326 WorldCat member libraries worldwide
This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics. A central feature is the systematic utilization of Lagrangian submanifolds and their Maslov-Hörmander generating functions. Following this line of thought, first introduced by Wlodemierz Tulczyjew, geometric solutions of Hamilton-Jacobi equations, Hamiltonian vector fields and canonical transformations are described by suitable Lagrangian submanifolds belonging to distinct well-defined symplectic structures. This unified point of view has been particularly fruitful in symplectic topology, which is the modern Hamiltonian environment for the calculus of variations, yielding sharp sufficient existence conditions. This line of investigation was initiated by Claude Viterbo in 1992; here, some primary consequences of this theory are exposed in Chapter 8: aspects of Poincaré's last geometric theorem and the Arnol'd conjecture are introduced. In Chapter 7 elements of the global asymptotic treatment of the highly oscillating integrals for the Schrödinger equation are discussed: as is well known, this eventually leads to the theory of Fourier Integral Operators. This short handbook is directed toward graduate students in Mathematics and Physics and to all those who desire a quick introduction to these beautiful subjects
Mathematical theory of elastic equilibrium (recent results) by
G Grioli(
Book
)
2 editions published in 2013 in English and held by 11 WorldCat member libraries worldwide
It is not my intention to present a treatise of elasticity in the follow ing pages. The size of the volume would not permit it, and, on the other hand, there are already excellent treatises. Instead, my aim is to develop some subjects not considered in the best known treatises of elasticity but nevertheless basic, either from the physical or the analytical point of view, if one is to establish a complete theory of elasticity. The material presented here is taken from original papers, generally very recent, and concerning, often, open questions still being studied by mathematicians. Most of the problems are from the theory of finite deformations [non-linear theory], but a part of this book concerns the theory of small deformations [linear theory], partly for its interest in many practical questions and partly because the analytical study of the theory of finite strain may be based on the infinitesimal one
2 editions published in 2013 in English and held by 11 WorldCat member libraries worldwide
It is not my intention to present a treatise of elasticity in the follow ing pages. The size of the volume would not permit it, and, on the other hand, there are already excellent treatises. Instead, my aim is to develop some subjects not considered in the best known treatises of elasticity but nevertheless basic, either from the physical or the analytical point of view, if one is to establish a complete theory of elasticity. The material presented here is taken from original papers, generally very recent, and concerning, often, open questions still being studied by mathematicians. Most of the problems are from the theory of finite deformations [non-linear theory], but a part of this book concerns the theory of small deformations [linear theory], partly for its interest in many practical questions and partly because the analytical study of the theory of finite strain may be based on the infinitesimal one
Le opere e il contesto storico by
Tullio Levi-Civita(
Book
)
1 edition published in 2018 in Italian and held by 2 WorldCat member libraries worldwide
1 edition published in 2018 in Italian and held by 2 WorldCat member libraries worldwide
Modelli fisico matematici by
Franco Cardin(
Book
)
1 edition published in 2013 in Italian and held by 2 WorldCat member libraries worldwide
1 edition published in 2013 in Italian and held by 2 WorldCat member libraries worldwide
Inertial Manifold and Large Deviations Approach to Reduced PDE Dynamics by
Franco Cardin(
)
1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide
The Geometry of the Semiclassical Wave Front Set for Schrödinger Eigenfunctions on the Torus by
Franco Cardin(
)
1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide
Optimal transport from a point-like source by
Franco Cardin(
)
1 edition published in 2019 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2019 in English and held by 2 WorldCat member libraries worldwide
Stochastic and geometric aspects of reduced reaction-diffusion dynamics by
Franco Cardin(
)
1 edition published in 2018 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2018 in English and held by 2 WorldCat member libraries worldwide
Selezione di testi by
Tullio Levi-Civita(
Book
)
1 edition published in 2018 in Italian and held by 2 WorldCat member libraries worldwide
1 edition published in 2018 in Italian and held by 2 WorldCat member libraries worldwide
Discrete structures equivalent to nonlinear Dirichlet and wave equations by
Alberto Lovison(
)
1 edition published in 2009 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 2 WorldCat member libraries worldwide
Erratum to: Discrete structures equivalent to nonlinear Dirichlet and wave equations by
Alberto Lovison(
)
1 edition published in 2016 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2016 in English and held by 2 WorldCat member libraries worldwide
Chain Recurrence, Chain Transitivity, Lyapunov Functions and Rigidity of Lagrangian Submanifolds of Optical Hypersurfaces by
Alberto Abbondandolo(
)
1 edition published in 2016 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2016 in English and held by 2 WorldCat member libraries worldwide
Elementary Symplectic Topology and Mechanics [recurso electrónico] $c by
Franco Cardin(
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics. A central feature is the systematic utilization of Lagrangian submanifolds and their Maslov-Hörmander generating functions. Following this line of thought, first introduced by Wlodemierz Tulczyjew, geometric solutions of Hamilton-Jacobi equations, Hamiltonian vector fields and canonical transformations are described by suitable Lagrangian submanifolds belonging to distinct well-defined symplectic structures. This unified point of view has been particularly fruitful in symplectic topology, which is the modern Hamiltonian environment for the calculus of variations, yielding sharp sufficient existence conditions. This line of investigation was initiated by Claude Viterbo in 1992; here, some primary consequences of this th
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics. A central feature is the systematic utilization of Lagrangian submanifolds and their Maslov-Hörmander generating functions. Following this line of thought, first introduced by Wlodemierz Tulczyjew, geometric solutions of Hamilton-Jacobi equations, Hamiltonian vector fields and canonical transformations are described by suitable Lagrangian submanifolds belonging to distinct well-defined symplectic structures. This unified point of view has been particularly fruitful in symplectic topology, which is the modern Hamiltonian environment for the calculus of variations, yielding sharp sufficient existence conditions. This line of investigation was initiated by Claude Viterbo in 1992; here, some primary consequences of this th
Sugli invarianti assoluti by
Tullio Levi-Civita(
Book
)
2 editions published in 2018 in Italian and held by 1 WorldCat member library worldwide
2 editions published in 2018 in Italian and held by 1 WorldCat member library worldwide
Il problema degli n-corpi in relatività generale : introduzione, traduzione e note a cura di Franco Cardin, Sara Di Ruzza
e Leonardo Donà by
Tullio Levi-Civita(
Book
)
2 editions published in 2019 in Italian and held by 1 WorldCat member library worldwide
2 editions published in 2019 in Italian and held by 1 WorldCat member library worldwide
Sistemi dinamici meccanici : introduzione alla meccanica relazionale by
Franco Cardin(
Book
)
1 edition published in 2018 in Italian and held by 1 WorldCat member library worldwide
1 edition published in 2018 in Italian and held by 1 WorldCat member library worldwide
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Related Identities
- SpringerLink (Online service) Other
- Valent, Tullio Editor
- Grioli, Giuseppe Author
- Lovison, Alberto Other Author
- Levi-Civita, Tullio Author
- Favretti, Marco Other
- Rampazzo, Franco
- Salce, Luigi
- Bobbo, Alessia Contributor
- Abbondandolo, Alberto Author
