Operational methods in applied mathematics

Description

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