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  • © 2010

Classical Mechanics

Systems of Particles and Hamiltonian Dynamics

Authors:

  • Numerous problems with worked out solutions
  • Covers advanced topic nonlinear dynamics
  • Lagrange and hamilton theory included
  • New chapter on generalized theory of canonical transformation
  • Includes supplementary material: sn.pub/extras

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Table of contents (28 chapters)

  1. Front Matter

    Pages I-XVIII
  2. Newtonian Mechanics in Moving Coordinate Systems

    1. Front Matter

      Pages 1-1
    2. Free Fall on the Rotating Earth

      • Walter Greiner
      Pages 9-21
    3. Foucault’s Pendulum

      • Walter Greiner
      Pages 23-38
  3. Mechanics of Particle Systems

    1. Front Matter

      Pages 39-39
    2. Degrees of Freedom

      • Walter Greiner
      Pages 41-42
    3. Center of Gravity

      • Walter Greiner
      Pages 43-64
  4. Vibrating Systems

    1. Front Matter

      Pages 79-79
    2. Vibrations of Coupled Mass Points

      • Walter Greiner
      Pages 81-100
    3. The Vibrating String

      • Walter Greiner
      Pages 101-120
    4. Fourier Series

      • Walter Greiner
      Pages 121-131
    5. The Vibrating Membrane

      • Walter Greiner
      Pages 133-157
  5. Mechanics of Rigid Bodies

    1. Front Matter

      Pages 159-159
    2. Rotation About a Fixed Axis

      • Walter Greiner
      Pages 161-183
    3. Rotation About a Point

      • Walter Greiner
      Pages 185-207
    4. Theory of the Top

      • Walter Greiner
      Pages 209-256
  6. Lagrange Equations

    1. Front Matter

      Pages 257-257
    2. Generalized Coordinates

      • Walter Greiner
      Pages 259-265

About this book

This textbook Classical Mechanics provides a complete survey on all aspects of classical mechanics in theoretical physics. An enormous number of worked examples and problems show students how to apply the abstract principles to realistic problems.

The textbook covers Newtonian mechanics in rotating coordinate systems, mechanics of systems of point particles, vibrating systems and mechanics of rigid bodies. It thoroughly introduces and explains the Lagrange and Hamilton equations and the Hamilton-Jacobi theory. A large section on nonlinear dynamics and chaotic behavior of systems takes Classical Mechanics to newest development in physics.

The new edition is completely revised and updated. New exercises and new sections in canonical transformation and Hamiltonian theory have been added.

Reviews

From the reviews:

"A sequel to Greiner’s (TM)s Classical Mechanics: Point Particles and Relativity, this book forms part of a series of 13 textbooks on theoretical physics a ] . A major attraction is the wealth of worked examples, which renders the book very suitable as a self-contained source for learning on onea (TM)s own a ] . In conclusion, this is a worthy competitor in the market of undergraduate texts on classical mechanics a ] ." (Professor R. S. MacKay, Contemporary Physics, Vol. 45 (2), 2004)

"The book is one of the series of texts on classical theoretical physics which is based on the highly successful series of courses given by Walter Grainer a ] . It should be noted that for advanced undergraduate and beginning graduate students, the volumes in the series provide not only a complete survey of classical theoretical physics, mechanics and other parts of science but also an enormous number of worked examples and problems to show students clearly how to applythe abstract principles to realistic problems." (Sergei Georgievich Zhuravlev, Zentralblatt MATH, Vol. 1016, 2003)

"This book is the last one of the series published by the author on Theoretical Physics. a ] The spirit of this series of books is to offer, in a very clear and practical way, the most important theories with many applications (under the form of examples) of present time physics. a ] An index, a table of examples and a short bibliography complete this monograph. In conclusion, this book proposes a complete clear and modern view of classical mechanics with a numerous worked and interesting examples." (StA(c)phane MA(c)tens, Physicalia, Vol. 25 (2), 2003)

From the reviews of the second edition:

“The second edition of this textbook is based on the fifth German edition of the textbook of W. Greiner and H. Diehl … . this book can be very useful to students (and researchers) wishing to study the subject on their own. Many explicitly worked out examples and exercises will be of considerable help in deepening the understanding of new concepts and methods. … Greiner’s physics textbooks are internationally noted for their clarity and completeness. This English textbook will not be any exception.” (Franz Selig, Zentralblatt MATH, Vol. 1195, 2010)

Authors and Affiliations

  • Frankfurt Inst. Advanced Studies (FIAS), Universität Frankfurt, Frankfurt, Germany

    Walter Greiner

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access