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Viser: Introduction to Modern Dynamics - Chaos, Networks, Space, and Time
Introduction to Modern Dynamics
Chaos, Networks, Space, and Time
David D. Nolte
(2019)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- 2. Udgave
- Undefined: 512 sider
- Udgiver: Oxford University Press, Incorporated (November 2019)
- ISBN: 9780198844631
The structure of this book combines the three main topics of modern dynamics - chaos theory, dynamics on complex networks, and general relativity - into a coherent framework. By taking a geometric view of physics, concentrating on the time evolution of physical systems as trajectories through abstract spaces, these topics share a common and simple mathematical language through which any student can gain a unified physical intuition. Given the growing importance of complex dynamical systems in many areas of science and technology, this text provides students with an up-to-date foundation for their future careers.
This second edition has an updated introductory chapter and has added key topics to help students prepare for their GRE physics subject exam. It also has expanded chapters on Hamiltonian dynamics, Hamiltonian chaos, and Econophysics, while increasing the number of homework problems at the end of each chapter. The second edition is designed to fulfill the textbook needs of any advanced undergraduate course in mechanics.
Part 1: Geometric Mechanics1. Physics and Geometry2. Lagrangian Mechanics3. Hamiltonian Dynamics and Phase SpacePart 2: Nonlinear Dynamis4. Nonlinear Dynamics and Chaos5. Hamiltonian Chaos6. Coupled Oscillatros and SynchronizationPart 3: Complex Systems7. Network Dynamics8. Evolutionary Dynamics9. Neurodynamics and Neural Networks10. Economic DynamicsPart 4: Relativity and Space-Time11. Metric Spaces and Geodesic Motion12. Relativistic Dynamics13. The General Theory of Relativity and Gravitation