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Elementary Symplectic Topology and Mechanics
Franco Cardin
€ 77.27
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Description for Elementary Symplectic Topology and Mechanics
Paperback. Series: Lecture Notes of the Unione Matematica Italiana. Num Pages: 239 pages, 33 black & white illustrations, 11 colour illustrations, biography. BIC Classification: PBKQ; PBMP; PHU. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 13. Weight in Grams: 379.
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, ... Read more
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, ... Read more
Product Details
Format
Paperback
Publication date
2014
Publisher
Springer International Publishing AG Switzerland
Number of pages
239
Condition
New
Series
Lecture Notes of the Unione Matematica Italiana
Number of Pages
222
Place of Publication
Cham, Switzerland
ISBN
9783319110257
SKU
V9783319110257
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Elementary Symplectic Topology and Mechanics
“This book brings the reader from the basics of symplectic topology through several concepts and issues relative to Hamiltonian and Lagrangian systems, Hamilton-Jacobi equations, the calculus of variations, and Morse and Lusternik-Schnirelman theories. … The book seems best suited to researchers and students from graduate level onwards.” (Maria Letizia Bertotti, Mathematical Reviews, August, 2015)