Introduction to Modern Dynamics: Chaos, Networks, Space and Time

Paperback | November 14, 2014

byDavid D. Nolte

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The best parts of physics are the last topics that our students ever see. These are the exciting new frontiers of nonlinear and complex systems that are at the forefront of university research and are the basis of many high-tech businesses. Topics such as traffic on the World Wide Web, thespread of epidemics through globally-mobile populations, or the synchronization of global economies are governed by universal principles just as profound as Newton's laws. Nonetheless, the conventional university physics curriculum reserves most of these topics for advanced graduate study. Twojustifications are given for this situation: first, that the mathematical tools needed to understand these topics are beyond the skill set of undergraduate students, and second, that these are speciality topics with no common theme and little overlap.Introduction to Modern Dynamics dispels these myths. 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 timeevolution 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, thistext provides students with an up-to-date foundation for their future careers.

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The best parts of physics are the last topics that our students ever see. These are the exciting new frontiers of nonlinear and complex systems that are at the forefront of university research and are the basis of many high-tech businesses. Topics such as traffic on the World Wide Web, thespread of epidemics through globally-mobile pop...

David D. Nolte is a Professor of Physics at Purdue University and is an internationally recognized researcher in laser photonics. He received his baccalaureate from Cornell University and his PhD from the University of California at Berkeley. He is the author of over 160 journal papers, has secured 14 US patents in applied optics and ...

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Format:PaperbackDimensions:432 pages, 9.69 × 7.44 × 0.07 inPublished:November 14, 2014Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199657041

ISBN - 13:9780199657049

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Table of Contents

Part I: Geometric Mechanics1. Physics and Geometry2. Hamiltonian Dynamics and Phase SpacePart II: Nonlinear Dynamics3. Nonlinear Dynamics and Chaos4. Coupled Oscillators and Synchronization5. Network DynamicsPart III: Complex Systems6. Neurodynamics and Neural Networks7. Evolutionary Dynamics8. Economic DynamicsPart IV: Relativity and Space-Time9. Metric Spaces and Geodesic Motion10. Relativistic Dynamics11. The General Theory of Relativity and Gravitation