Elementary Matrices

Frazer

doi:10.1017/CBO9780511629211

Elementary Matrices

This book develops the subject of matrices with special reference to differential equations and classical mechanics. It is intended to bring to the student of applied mathematics, with no previous knowledge of matrices, an appreciation of their conciseness, power and convenience in computation. Worked numerical examples, many of which are taken from aerodynamics, are included.

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Elementary Matrices

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Contents

Frontmatter
pp i-iv

Contents
pp v-xvi

Preface
pp xvii-xviii

CHAPTER I - FUNDAMENTAL DEFINITIONS AND ELEMENTARY PROPERTIES
pp 1-36

CHAPTER II - POWERS OF MATRICES, SERIES, AND INFINITESIMAL CALCULUS
pp 37-56

CHAPTER III - LAMBDA-MATRICES AND CANONICAL FORMS
pp 57-95

CHAPTER IV - MISCELLANEOUS NUMERICAL METHODS
pp 96-155

CHAPTER V - LINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
pp 156-185

CHAPTER VI - LINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS (continued)
pp 186-211

CHAPTER VII - NUMERICAL SOLUTIONS OF LINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS
pp 212-245

CHAPTER VIII - KINEMATICS AND DYNAMICS OF SYSTEMS
pp 246-279

CHAPTER IX - SYSTEMS WITH LINEAR DYNAMICAL EQUATIONS
pp 280-307

CHAPTER X - ITERATIVE NUMERICAL SOLUTIONS OF LINEAR DYNAMICAL PROBLEMS
pp 308-331

CHAPTER XI - DYNAMICAL SYSTEMS WITH SOLID FRICTION
pp 332-357

CHAPTER XII - ILLUSTRATIVE APPLICATIONS OF FRICTION THEORY TO FLUTTER PROBLEM
pp 358-381

CHAPTER XIII - PITCHING OSCILLATIONS OF A FRICTIONALLY CONSTRAINED AEROFOIL
pp 382-398

List of References
pp 399-402

List of Authors Cited
pp 403-403

Index
pp 404-416

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Elementary Matrices

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