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This advanced undergraduate physics textbook presents an accessible
treatment of classical mechanics using plain language and clear
examples. While comprehensive, the book can be tailored to a
one-semester course. An early introduction of the Lagrangian and
Hamiltonian formalisms gives students an opportunity to utilize
these important techniques in the easily visualized context of
classical mechanics. The inclusion of 321 simple in-chapter
exercises, 82 worked examples, 550 more challenging end-of-chapter
problems, and 65 computational projects reinforce students'
understanding of key physical concepts and give instructors freedom
to choose from a wide variety of assessment and support materials.
This new edition has been reorganized. Numerous sections were
rewritten. New problems, a chapter on fluid dynamics, and brief
optional studies of advanced topics such as general relativity and
orbital mechanics have been incorporated. Online resources include
a solutions manual for instructors, lecture slides, and a set of
student-oriented video lectures.
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.
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.
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