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## Nonlinear Mechanics: A Supplement to Theoretical Mechanics of Particles and Continua (Softcover)"This supplement focuses on various aspects of nonlinear phenomena in both fluids and discrete systems of particles. ... A set of problems has been included, some for each section." — From the Authors in the Preface (page iii) ## $5.69 |

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Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** This book is very good condition, showing only slight signs of use and wear.

## Description

From the back cover: “In their prior Dover book, *Theoretical Mechanics of Particles and Continua*, Alexander L. Fetter and John Dirk Welecka 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.”

**BRIEF CONTENTS**

**Part I: Introduction**

- Motivation

**Part II: Nonlinear Continuous Systems**

- Linearized stability analysis
- Rayleigh-Bénard problem: basic formulation
- Rayleigh-Bénard problem: linearized theory of convective instability
- Rayleigh-B´nard problem: expansion sketch of exact solution
- Lorenz equations: direct derivation for simple physical configuration

**Part III: Discrete Dynamical Systems**

- Example of nonlinear oscillator
- Phase-space dynamics and fixed points
- Lorenz model
- Model finite-difference equation: logistic map
- Liouville’s theorem revisited
- Action-angle variables revisited
- Perturbation of periodic Hamiltonian systems
- Coupled separable periodic Hamiltonian systems

**Part IV: Problems**

- Problems

The book ends with References and Index.

## Details

- SKU:
- 1970
- Subject:
- Physics
- Author:
- Fetter, Alexander L. and John Dirk Walecka
- Publisher:
- Dover Publications
- Publish Date:
- 2006
- Format:
- Softcover
- Weight (pounds):
- 0.47
- Dimensions (W”xL”xH”):
- 6.1″x9.3″x0.4″
- ISBN-13:
- 9780486450315
- ISBN-10:
- 0486450317
- Grade Level:
- College

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