Cardin, Franco
Works:  16 works in 33 publications in 2 languages and 361 library holdings 

Roles:  Author, Contributor, Editor 
Classifications:  QA935, 620.1123 
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 MaslovHörmander generating functions. Following this line of thought, first introduced by Wlodemierz Tulczyjew, geometric solutions of HamiltonJacobi equations, Hamiltonian vector fields and canonical transformations are described by suitable Lagrangian submanifolds belonging to distinct welldefined 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
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 [nonlinear 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
1 edition published in 2018 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
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
1 edition published in 2019 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
1 edition published in 2018 in Italian and held by 2 WorldCat member libraries worldwide
1 edition published in 2009 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
1 edition published in 2016 in English and held by 2 WorldCat member libraries worldwide
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 MaslovHörmander generating functions. Following this line of thought, first introduced by Wlodemierz Tulczyjew, geometric solutions of HamiltonJacobi equations, Hamiltonian vector fields and canonical transformations are described by suitable Lagrangian submanifolds belonging to distinct welldefined 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
2 editions published in 2018 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
1 edition published in 2018 in Italian and held by 1 WorldCat member library worldwide
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General  Special 
 SpringerLink (Online service) Other
 Valent, Tullio Editor
 Grioli, Giuseppe Author
 Lovison, Alberto Other Author
 LeviCivita, Tullio Author
 Favretti, Marco Other
 Rampazzo, Franco
 Salce, Luigi
 Bobbo, Alessia Contributor
 Abbondandolo, Alberto Author