Complex Variable Theory and Transform Calculus: With Technical Applications
Preface to the second edition Preface to the first edition Part I. Theory of Complex Variable: 1. Functions of a complex variable 2. Integration: Cauchy's theorem: Taylor's and Laurent's theorems 3. Calculus of residues 4. The Bromwich contour: equivalent contours: evaluation of integrals 5. Gamma, error and Bessel functions 6. Evaluation of 1/2 i Br1 ezto(z)dz/z when o(z) has branch points 7. Differentiation and integration under the integral sign Part II. Theory of Transform Calculus: 8. Mellin inversion theorem: transform theory 9. Solution of ordinary linear differential equations 10. Discontinuous functions: impulses: frequency spectra Part III. Technical Applications of Parts I and II: 11. Electrical circuits: vibrational systems: aeroplane dynamics: deflexion of beams 12. Radio and television receivers 13. Partial linear differential equations: electrical transmission lines: electrical wave filters 14. Solenoid with metal core: condenser microphone: loud speaker horn 15. Diffusion of heat: absorption of moisture problems to be worked out by the reader Part IV. Appendices and List of References Index.