A Modern Approach to Classical Mechanics
Nonfiction, Science & Nature, Science, Physics, Electromagnetism, Mathematical Physics
| Author: | Harald Iro | ISBN: | 9789814696302 |
| Publisher: | World Scientific Publishing Company | Publication: | August 21, 2015 |
| Imprint: | WSPC | Language: | English |
| Author: | Harald Iro |
| ISBN: | 9789814696302 |
| Publisher: | World Scientific Publishing Company |
| Publication: | August 21, 2015 |
| Imprint: | WSPC |
| Language: | English |
In this book we describe the evolution of Classical Mechanics from Newton's laws via Lagrange's and Hamilton's theories with strong emphasis on integrability versus chaotic behavior.
In the second edition of the book we have added historical remarks and references to historical sources important in the evolution of classical mechanics.
Contents:
- Basic Considerations and Concepts
- Fundamentals of Classical Mechanics
- One-Dimensional Motion of a Particle
- Peculiar Motion in Two Dimensions
- Motion in a Central Force
- Gravitational Force Between Two Bodies
- Collisions of Particles. Scattering
- Changing the Frame of Reference
- Lagrangian Mechanics
- Conservation Laws and Symmetries
- The Rigid Body
- Small Oscillations
- Hamiltonian Mechanics
- Hamilton–Jacobi Theory
- Three-body Systems
- Approximating Non-Integrable Systems
Readership: Advanced undergraduates, academics, and lecturers who may have used the first edition and would recommend their teaching assistants and students to use an updated edition in their own graduate study.
Key Features:
- As compared to other books, integrability and chaotic behavior are considered right from the beginning and are thus naturally incorporated in the text. A short historical background is presented throughout the book either in the form of notes or of references
In this book we describe the evolution of Classical Mechanics from Newton's laws via Lagrange's and Hamilton's theories with strong emphasis on integrability versus chaotic behavior.
In the second edition of the book we have added historical remarks and references to historical sources important in the evolution of classical mechanics.
Contents:
- Basic Considerations and Concepts
- Fundamentals of Classical Mechanics
- One-Dimensional Motion of a Particle
- Peculiar Motion in Two Dimensions
- Motion in a Central Force
- Gravitational Force Between Two Bodies
- Collisions of Particles. Scattering
- Changing the Frame of Reference
- Lagrangian Mechanics
- Conservation Laws and Symmetries
- The Rigid Body
- Small Oscillations
- Hamiltonian Mechanics
- Hamilton–Jacobi Theory
- Three-body Systems
- Approximating Non-Integrable Systems
Readership: Advanced undergraduates, academics, and lecturers who may have used the first edition and would recommend their teaching assistants and students to use an updated edition in their own graduate study.
Key Features:
- As compared to other books, integrability and chaotic behavior are considered right from the beginning and are thus naturally incorporated in the text. A short historical background is presented throughout the book either in the form of notes or of references
