Operational Calculus - based on the two-sided Laplace integral

I. General introduction
II. The Fourier integral as basis of the operational calculus
III. Elementary operational images
IV. Elementary rules
V. The delta or impulse function
VI. Questions concerning the convergence of the definition integral
VII. Asymptotic relations and operational transposition of series
VIII. Linear differential equations with constant coefficients
IX. Simultaneous linear differential equations with constant coefficients; electric-circuit theory
X. Linear differential equations with variable coefficients
XI. Operational rules of more complicated character
XII. Step functions and other discontinuous functions
XIII. Difference equations
XIV. Integral equations
XV. Partial differential equations in the operational calculus of one variable
XVI. Simultaneous operational calculus
XVII. 'Grammar'
XVIII. 'Dictionary'