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This work 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.

Lagrangian functions. --- Hamiltonian systems.

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Constrained optimization --- Mathematical optimization --- Lagrangian functions

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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. The book begins by applying Lagrange's equations to a number of mechanical systems. It introduces the concepts of generalized coordinates and generalized momentum. Following this the book turns to the calculus of variations to derive the Euler-Lagrange equations. It introduces Hamilton's principle and uses this throughout the book to derive further results. 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 master the material, this book is a valuable supplement to courses in mechanics.

Mechanics, Analytic --- Lagrangian functions --- Hamiltonian systems

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Hydrodynamics --- Lagrangian functions --- Numerical analysis --- Congresses. --- Congresses. --- Congresses.

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Heat --- Lagrangian functions --- Variational principles --- Chaleur --- Lagrange, Fonctions de --- Principes variationnels --- Transmission --- Transmission