An introductory textbook exploring the subject of Lagrangian and Hamiltonian dynamics, with a relaxed and self-contained setting. Lagrangian and Hamiltonian dynamics is the continuation of Newton's classical physics into new formalisms, each highlighting novel aspects of mechanics that gradually build in complexity to form the basis for almost all of theoretical physics. Lagrangian and Hamiltonian dynamics also acts as a gateway to more abstract concepts routed in differential geometry and field theories and can be used to introduce these subject areas to newcomers.Journeying in a self-contained manner from the very basics, through the fundamentals and onwards to the cutting edge of the subject, along the way the reader is supported by all the necessary background mathematics, fully worked examples, thoughtful and vibrant illustrations as well as an informal narrative and numerous fresh, modern and inter-disciplinary applications.The book contains some unusual topics for a classical mechanics textbook. Most 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.
✔ Author(s): Peter Mann
✔ Title: Lagrangian and Hamiltonian Dynamics
✔ Rating : 4.6 out of 5 base on (62 reviews)
✔ ISBN-10: 0198822383
✔ ISBN-13: 9780198822387
✔ Language: English
✔ Format ebook: PDF, EPUB, Kindle, Audio, HTML and MOBI
✔ Device compatibles: Android, iOS, PC and Amazon Kindle
Readers' opinions about Lagrangian and Hamiltonian Dynamics by Peter Mann
Katherine Stevenson
What an intellectual journey! The themes explored in this book challenged my perceptions and sparked introspection. It's refreshing to read a book that provokes such thought.
Daphne Garner
The plot was incredibly well-crafted, with twists and turns that kept me hooked until the very last page. It was impossible to predict what would happen next.
Rosa Bax
The author's ability to evoke a wide range of emotions through their words is truly remarkable. I felt like I was on an emotional rollercoaster throughout the entire book.
