Hamiltonian and Lagrangian Dynamics (HLD) are two interrelated regimes and sets of techniques that can be used to solve Classical Mechanics problems, like Newtonian Physics does, but HLD is much more powerful and flexible, making manageable the otherwise intractable.
Engineers will also find succor herein for solving difficult problems..
Mathematics students will find here simple treatments of advanced mathematical topics, and see their practical application.
The book is intended to be useful for physics undergraduates in a first course in Analytical Mechanics, and for Graduate students in physics.
Volume 1 contains unusually concise, yet deep, treatments of Linear Algebra, Lie Groups and of Conic Sections, so that some may wish to use the book to pursue those goals alone.
Volume 2 is devoted to physics: Dynamical Systems, Newtonian Physics, Hamiltonian and Lagrangian Dynamics, and many applications.
Volume 1 is devoted to the necessary mathematics: Linear Algebra, Functional Analysis, Manifolds, and Lie Groups.
This book emphasizes geometric reasoning in both the text and exercises.
Most importantly, HLD is a foundation for Quantum Mechanics, Quantum Field Theory, Elementary Particle Physics, and Solid State Physics.
In addition, HLD provides intuitive insight and guides approximation techniques.
Hamiltonian and Lagrangian Dynamics (HLD) are two interrelated regimes and sets of techniques that can be used to solve Classical Mechanics problems, like Newtonian Physics does, but HLD is much more powerful and flexible, making manageable the otherwise intractable
