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The Physics of Oscillations and Waves : With Applications in Electricity and Mechanics - Ingram Bloch

The Physics of Oscillations and Waves

With Applications in Electricity and Mechanics

Hardcover

Published: 30th June 1997
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Except for digressions in Chapters 8 and 17, this book is a highly unified treatment of simple oscillations and waves. The phenomena treated are "simple" in that they are de­ scribable by linear equations, almost all occur in one dimension, and the dependent variables are scalars instead of vectors or something else (such as electromagnetic waves) with geometric complications. The book omits such complicated cases in order to deal thoroughly with properties shared by all linear os­ cillations and waves. The first seven chapters are a sequential treatment of electrical and mechanical oscillating systems, starting with the simplest and proceeding to systems of coupled oscillators subjected to ar­ bitrary driving forces. Then, after a brief discussion of nonlinear oscillations in Chapter 8, the concept of normal modes of motion is introduced and used to show the relationship between os­ cillations and waves. After Chapter 12, properties of waves are explored by whatever mathematical techniques are applicable. The book ends with a short discussion of three-dimensional vii viii Preface problems (in Chapter 16), and a study of a few aspects of non­ linear waves (in Chapter 17).

Undamped and Undriven Oscillators and LC Circuits
The Effect of Damping
Sinusoidally Driven Oscillators and Circuit Loops
Sums of Sinusoidal Forces or EMF's - Fourier Analysis
Integration in the Complex Plane
Evaluation of Certain Fourier Integrals - Causality, Green's Functions
Electrical Networks
Nonlinear Oscillations
Coupled Oscillators without Damping - Lagrange's Equations
Matrices - Rotations - Eigenvalues and Eigenvectors - Normal Coordinates
Some Examples of Normal Coordinates
Finite One-Dimensional Periodic Systems
Difference Equations
Infinite One-Dimensional Periodic Systems - Characteristic Impedance
Continuous Systems
Wave Equation
Lagrangian Density
Hamilton's Principle
Continuous Systems
Applied Forces
Interacting Systems
Other Linear Problems
Nonlinear Waves
Answers to Selected Problems
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780306457210
ISBN-10: 0306457210
Series: Technology
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 318
Published: 30th June 1997
Publisher: Springer Science+Business Media
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 1.91
Weight (kg): 1.45