Complex Variable Theory and Transform Calculus

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  • Format: Hardcover
  • Copyright: 1953-01-02
  • Publisher: Cambridge Univ Pr
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The purpose of this book, first published in 1939, updated in 1953, is to give a treatment of the so-called operational method and to illustrate its application to problems in various branches of technology. It is written primarily for technologists who use mathematics in solving technical problems in industrial and applied research work, and the treatment is sufficiently rigorous for their needs. The theory of the complex variable and of transform calculus occupy the first half of the book. A further third of the book describes the application of this theory to problems arising in electrical circuits; vibrational systems; aeroplane dynamics; the deflexion of beams; radio and television receivers; the solution of partial differential equations; electrical transmission limes; electrical wave filters; solenoids with metal cores; condenser microphones; loud speaker horns and the absorption of moisture. The final part contains over 100 problems - many with hints for their solution - appendices and references.

Table of Contents

Preface to the second edition
Preface to the first edition
Theory of Complex Variable
Functions of a complex variable
Integration: Cauchy's theorem: Taylor's and Laurent's theorems
Calculus of residues
The Bromwich contour: equivalent contours: evaluation of integrals
Gamma, error and Bessel functions
Evaluation of 1/2iBr1 eztø(z)dz/z when ø(z) has branch points
Differentiation and integration under the integral sign
Theory of Transform Calculus
Mellin inversion theorem: transform theory
Solution of ordinary linear differential equations
Discontinuous functions: impulses: frequency spectra
Technical Applications of Parts I and II
Electrical circuits: vibrational systems: aeroplane dynamics: deflexion of beams
Radio and television receivers
Partial linear differential equations: electrical transmission lines: electrical wave filters
Solenoid with metal core: condenser microphone: loud speaker horn
Diffusion of heat: absorption of moisture problems to be worked out by the reader
Appendices and List of References
Table of Contents provided by Publisher. All Rights Reserved.

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