Nonlinear Mechanics: A Supplement to Theoretical Mechanics of Particles and Continua (Dover Books on Physics) by Alexander L. Fetter (PDF)

Description

In their prior Dover book, Theoretical Mechanics of Particles and Continua, Alexander L. Fetter and John Dirk Walecka provided a lucid and self-contained account of classical mechanics, together with appropriate mathematical methods. This supplement — an update of that volume — offers a bridge to contemporary mechanics.The original book’s focus on continuum mechanics — with chapters on sound waves in fluids, surface waves on fluids, heat conduction, and viscous fluids — forms the basis for this supplement’s discussion of nonlinear continuous systems. Topics include linearized stability analysis; a detailed examination of the Rayleigh-Bénard problem, from its formulation to issues of linearized theory of convective instability and expansion in Fourier modes; and the direct derivation of Lorenz equations for simple physical configuration. The first half of the original text deals with particle mechanics, and this supplement returns to the study of systems with a finite number of degrees of freedom. A concluding section presents a series of problems that reinforce the supplement’s teachings.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Very subtle…

⭐Really a perfect textbook for classical theoretical physics!

⭐A good introduction to nonlinear phenomena. The examples shown in the text present a wide selection from different areas of knowledge. This volume can be accesible to engineering and science students, but also can be a vauable source of information for graduate courses on dynamical systems.

⭐This book analyzes very complicated systems concisely, which I presume is why it is a supplement. Get this book if you’re interested in the various solutions to certain complex systems and are not afraid of advanced mathematics.

⭐It is a very good extension for the classical mechanics books, it covers many examples with all the mathematics required.

⭐thank you.

⭐This is the addendum book to Fetter and Walecka’s “Theoretical Mechanics of Particles and Continua”. And it’s continua-ly annoying! Whoooo! Anyway, I don’t like this book. Very few examples, very few questions for each chapter, and I didn’t think it was presented in decent way.

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