Students Guide to Lagrangians and Hamiltonians Hamill Patrick San Jose State University California
Students Guide to Lagrangians and Hamiltonians Hamill Patrick San Jose State University California A concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and…
Specifikacia Students Guide to Lagrangians and Hamiltonians Hamill Patrick San Jose State University California
Students Guide to Lagrangians and Hamiltonians Hamill Patrick San Jose State University California
A concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. It introduces the concepts of generalized coordinates and generalized momentum. The book begins by applying Lagrange's equations to a number of mechanical systems.
It introduces Hamilton's principle and uses this throughout the book to derive further results. Following this the book turns to the calculus of variations to derive the Euler-Lagrange equations. The Hamiltonian, Hamilton's equations, canonical transformations, Poisson brackets and Hamilton-Jacobi theory are considered next.
The book concludes by discussing continuous Lagrangians and Hamiltonians and how they are related to field theory. Written in clear, simple language and featuring numerous worked examples and exercises to help students