Mathematical methods of classical physics. (2017)

• Record Type: Book
• Further Information: Note: Vicente Cortés, Alexander S. Haupt.
• Authors: Cortés, Vicente, 1965-; Haupt, Alexander S
• Contents: Acknowledgements; Contents; Symbols; 1 Introduction; 2 Lagrangian Mechanics; 2.1 Lagrangian Mechanical Systems and their Equations of Motion; 2.2 Integrals of Motion; 2.3 Motion in a Radial Potential; 2.3.1 Motion in Newton's Gravitational Potential; 3 Hamiltonian Mechanics; 3.1 Symplectic Geometry and Hamiltonian Systems; 3.2 Relation between Lagrangian and Hamiltonian Systems; 3.2.1 Hamiltonian Formulation for the Lagrangian Systems of Example 2.32.3; 3.2.2 The Legendre Transform; 3.3 Linearization and Stability; 4 Hamilton -- Jacobi Theory; 5 Classical Field Theory. 5.1 The Lagrangian, the Action and the Euler -- Lagrange Equations5.2 Automorphisms and Conservation Laws; 5.3 Why are Conservation Laws called Conservation Laws?; 5.4 Examples of Field Theories; 5.4.1 Sigma Models; 5.4.2 Pure Yang -- Mills Theory; 5.4.3 The Einstein -- Hilbert Lagrangian; 5.5 The Energy-Momentum Tensor; Appendix A Exercises; A.1 Exercises for Chap. 2; A.2 Exercises for Chap. 3; A.3 Exercises for Chap. 4; A.4 Exercises for Chap. 5; Appendix References; ; Index.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 530.15; Physics; Mathematical physics; SCIENCE -- Energy; SCIENCE -- Mechanics -- General; SCIENCE -- Physics -- General; Mathematical physics; Science -- Mathematical Physics; Mathematical physics; Mechanics; Classical mechanics; Electronic books
• Languages: English
• ISBNs: 9783319564630; 3319564633
• Related ISBNs: 9783319564623; 3319564625
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed May 4, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.