Lagrangian and Hamiltonian Dynamics

The book introduces classical mechanics. It does so in an informal style with numerous fresh, modern and inter-disciplinary applications assuming no prior knowledge of the necessary mathematics. The book provides a comprehensive and self-contained treatment of the subject matter up to the forefront of research in multiple areas.

Format: Paperback / softback
Length: 560 pages
Publication date: 05 June 2018
Publisher: Oxford University Press

Lagrangian and Hamiltonian dynamics is a comprehensive introductory textbook that delves into the realm of Lagrangian and Hamiltonian mechanics, offering a relaxed and self-contained approach. This field of study extends Newton's classical physics into new formalisms, each highlighting unique aspects of mechanics that gradually evolve in complexity to form the foundation of nearly all theoretical physics. Lagrangian and Hamiltonian dynamics also serves as a gateway to more abstract concepts rooted in differential geometry and field theories, making it an invaluable tool for introducing these subjects to newcomers.

The book takes a step-by-step approach, beginning with the very basics and gradually progressing to more advanced topics. Along the way, the reader is provided with all the necessary background mathematics, fully worked examples, thought-provoking illustrations, and an informal narrative. Additionally, numerous fresh, modern, and interdisciplinary applications are introduced to enhance the understanding and relevance of the subject matter.

One of the distinguishing features of this textbook is its inclusion of unusual topics typically found in classical mechanics textbooks. Notable examples include the classical wavefunction, Koopman-von Neumann theory, classical density functional theories, the vakonomic variational principle for non-holonomic constraints, the Gibbs-Appell equations, classical path integrals, Nambu brackets, and the full framing of mechanics in the language of differential geometry.

By exploring these diverse topics, the book provides a comprehensive and interdisciplinary understanding of Lagrangian and Hamiltonian dynamics, making it an essential resource for students, researchers, and enthusiasts alike. Whether you are a beginner seeking to grasp the fundamentals or an advanced student looking to deepen your knowledge, this textbook offers a wealth of information and insights that will enhance your understanding of this fascinating field.

Weight: 1158g
Dimension: 245 x 189 x 33 (mm)
ISBN-13: 9780198822387