Physical description 
1 online resource. 
Series 
SpringerBriefs in physics 

SpringerBriefs in physics.


Springer Physics and Astronomy eBooks 2017 English+International

Bibliography 
Includes bibliographical references and index. 
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 EnergyMomentum 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. 
Summary 
This short primer, geared towards students with a strong interest in mathematically rigorous approaches, introduces the essentials of classical physics, briefly points out its place in the history of physics and its relation to modern physics, and explains what benefits can be gained from a mathematical perspective. As a starting point, Newtonian mechanics is introduced and its limitations are discussed. This leads to and motivates the study of different formulations of classical mechanics, such as Lagrangian and Hamiltonian mechanics, which are the subjects of later chapters. In the second part, a chapter on classical field theories introduces more advanced material. Numerous exercises are collected in the appendix. 
Other author 
Haupt, Alexander S., author.


SpringerLink issuing body.

Subject 
Mathematical physics.


Electronic books. 
ISBN 
9783319564630 (electronic bk.) 

3319564633 (electronic bk.) 

9783319564623 (print) 

3319564625 
Standard Number 
10.1007/9783319564630 
