Author(s): H. S. Carslaw, J. C. Jaeger
Publisher: Dover
Year: 1963
Title page
HISTORICAL INTRODUCTION
CHAPTER I. ORDINARY LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
EXAMPLES ON CHAPTER 1
CHAPTER II. ELECTRIC CIRCUIT THEORY
EXAMPLES ON CHAPTER II
CHAPTER III. DYNAMICAL APPLICATIONS
EXAMPLES ON CHAPTER III
CHAPTER IV. THE INVERSION THEOREM FOR THE LaPLACE TRANSFORMATION AND ITS APPLICATION TO ORDINARY LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
EXAMPLES ON CHAPTER IV
CHAPTER V. LAPLACE TRANSFORM METHOD lN THE SOLUTION OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS
CHAPTER VI. CONDUCTION OF HEAT
CHAPTER VII. VIBRATIONS OF CONTIN1JOUS MECHANICAL SYSTEMS
CHAPTER VIII. HYDRODYNAMICS
CHAPTER IX. ELECTRIC TRANSMISSION LINES
CHAPTER X. ELECTRIC WAVE AND DIFFUSION PROBLEMS
CHAPTER XI. IMPULSIVE FUNCTIONS
CHAPTER XII. GENERAL THEOREMS ON THE LAPLACE TRANSFORMATION
CHAPTER. XIII. SOLUTIONS SUITABLE FOR LARGE OR SMALL VALUES OF THE TIME
CHAPTER XIV. CHAINS OF DIFFERENTIAL EQUATIONS
CHAPTER XV. BOUNDARY VALUE PROBLEMS FOR ORDINARY LINEAR DIFFERENTIAL EQUATIONS
MISCELLANEOUS EXAMPLES INVOLVING PARTIAL DIFFERENTIAL EQUATIONS
APPENDIX 1. LERCH'S THEOREM
APPENDIX II. NOTE ON BESSEL FUNCTIONS
APPENDIX III. TABLE OF LAPLACE TRANSFORMS
INDEX
