Introduction to Modern Dynamics From Classical Mechanics to Complex Systems

by Nolte, David D.

• ISBN13: 9780198966395
• ISBN10: 0198966393
• Edition: 3rd
• Format: Paperback
• Copyright: 2026-09-30
• Publisher: Oxford University Press
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Summary

Introduction to Modern Dynamics: From Classical Mechanics to Complex Systems offers a comprehensive and unified perspective on dynamics for the 21st century. Now in its third edition, the text provides a rigorous yet accessible foundation in Lagrangian and Hamiltonian mechanics, modernized with a geometric viewpoint that enhances intuitive understanding. The book's four-part structure provides a seamless transition from foundational principles to cutting-edge topics, beginning with the foundations of classical and complex mechanics and moving on to cover applications of those concepts to complex systems, as well as relativity and spacetime.

To facilitate student learning and prepare them for careers in research and technology, this edition has a renewed focus on practical application. Each chapter includes numerous worked problems, and online access to computational code allows students to explore a wealth of nonlinear phenomena. These resources are designed to equip students with the analytical and computational skills necessary to tackle the complex dynamical systems that are increasingly central to science and technology, while continuing the tradition of classical mechanics as the common language for practicing physicists.

Author Biography

David D. Nolte, Edward M. Purcell Distinguished Professor of Physics and Astronomy, Department of Physics, Purdue University

David D. Nolte is the Edward M. Purcell Distinguished Professor of Physics and Astronomy at Purdue University. He received his Baccalaureate from Cornell University, his PhD from the University of California at Berkeley, and he held a post-doc position at AT&T Bell Labs before joining Purdue. He is the author of three trade nonfiction books and actively blogs on issues of science at https://galileo-unbound.blog. He has published over 200 journal papers and is the technical founder of a start-up company that commercialized the BioCD laser diagnostic platform.

Table of Contents

Part I. Modern Foundations of Classical Mechanics1. Physics and Geometry2. Lagrangian Mechanics3. Hamiltonian Dynamics and Phase SpacePart II. Complex Dynamics4. Nonlinear Dynamics and Chaos5. Hamiltonian Chaos6. Stochastic DynamicsPart III. Applications to Complex Systems7. Synchronization of Coupled Oscillators8. Dynamics on Networks9. Evolutionary Dynamics10. Neurodynamics and Artificial Neural NetworksPart IV. Relativity and Spacetime11. Metric Spaces and Geodesic Motion12. Relativistic Dynamics13. The General Theory of Relativity and Gravitation