Laplace Transforms and Their Applications to Differential Equations

This introduction to modern operational calculus offers a classic exposition of Laplace transform theory and its application to the solution of ordinary and partial differential equations. The treatment is addressed to graduate students in engineering, physics, and applied mathematics and may be used as a primary text or supplementary reading.
Chief topics include the theorems or rules of the operational calculus, evaluation of integrals and establishment of mathematical relationships, derivation of Laplace transforms of various functions, the Laplace transform for a finite interval, and other subjects. Many problems and illustrative examples appear throughout the book, which is further augmented by helpful Appendixes.

Reprint of the 1962 (Dover) revised edition of Modern Operational Calculus with Applications in Technical Mathematics, Macmillan, London, 1948 edition. laplace transform;operational calculus;ordinary linear differential equations;partial linear differential equations;mathematical relationships;heavisides unit function;mellin inversion theorem;mathematics;applied math;calculus;differential equations;modern operational calculus;laplace transform theory;graduate students;engineering;physics;theorems;rules;mathematical deviation;finite interval;problem sets;illustrative examples