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This is the fifth edition of a well-established textbook. It is
intended to provide a thorough coverage of the fundamental
principles and techniques of classical mechanics, an old subject
that is at the base of all of physics, but in which there has also
in recent years been rapid development. The book is aimed at
undergraduate students of physics and applied mathematics. It
emphasizes the basic principles, and aims to progress rapidly to
the point of being able to handle physically and mathematically
interesting problems, without getting bogged down in excessive
formalism. Lagrangian methods are introduced at a relatively early
stage, to get students to appreciate their use in simple contexts.
Later chapters use Lagrangian and Hamiltonian methods extensively,
but in a way that aims to be accessible to undergraduates, while
including modern developments at the appropriate level of detail.
The subject has been developed considerably recently while
retaining a truly central role for all students of physics and
applied mathematics.This edition retains all the main features of
the fourth edition, including the two chapters on geometry of
dynamical systems and on order and chaos, and the new appendices on
conics and on dynamical systems near a critical point. The material
has been somewhat expanded, in particular to contrast continuous
and discrete behaviours. A further appendix has been added on
routes to chaos (period-doubling) and related discrete maps. The
new edition has also been revised to give more emphasis to specific
examples worked out in detail.Classical Mechanics is written for
undergraduate students of physics or applied mathematics. It
assumes some basic prior knowledge of the fundamental concepts and
reasonable familiarity with elementary differential and integral
calculus.
This is the fifth edition of a well-established textbook. It is
intended to provide a thorough coverage of the fundamental
principles and techniques of classical mechanics, an old subject
that is at the base of all of physics, but in which there has also
in recent years been rapid development. The book is aimed at
undergraduate students of physics and applied mathematics. It
emphasizes the basic principles, and aims to progress rapidly to
the point of being able to handle physically and mathematically
interesting problems, without getting bogged down in excessive
formalism. Lagrangian methods are introduced at a relatively early
stage, to get students to appreciate their use in simple contexts.
Later chapters use Lagrangian and Hamiltonian methods extensively,
but in a way that aims to be accessible to undergraduates, while
including modern developments at the appropriate level of detail.
The subject has been developed considerably recently while
retaining a truly central role for all students of physics and
applied mathematics.This edition retains all the main features of
the fourth edition, including the two chapters on geometry of
dynamical systems and on order and chaos, and the new appendices on
conics and on dynamical systems near a critical point. The material
has been somewhat expanded, in particular to contrast continuous
and discrete behaviours. A further appendix has been added on
routes to chaos (period-doubling) and related discrete maps. The
new edition has also been revised to give more emphasis to specific
examples worked out in detail.Classical Mechanics is written for
undergraduate students of physics or applied mathematics. It
assumes some basic prior knowledge of the fundamental concepts and
reasonable familiarity with elementary differential and integral
calculus.
This introduction to the mathematics of incompressible fluid
mechanics and its applications keeps prerequisites to a minimum -
only a background knowledge in multivariable calculus and
differential equations is required. Part One covers inviscid fluid
mechanics, guiding readers from the very basics of how to represent
fluid flows through to the incompressible Euler equations and many
real-world applications. Part Two covers viscous fluid mechanics,
from the stress/rate of strain relation to deriving the
incompressible Navier-Stokes equations, through to Beltrami flows,
the Reynolds number, Stokes flows, lubrication theory and boundary
layers. Also included is a self-contained guide on the global
existence of solutions to the incompressible Navier-Stokes
equations. Students can test their understanding on 100
progressively structured exercises and look beyond the scope of the
text with carefully selected mini-projects. Based on the authors'
extensive teaching experience, this is a valuable resource for
undergraduate and graduate students across mathematics, science,
and engineering.
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