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9780521056519: Complex Variable Theory and Transform Calculus: With Technical Applications

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Sinossi

This book, first published in 1939, updated in 1953, explores the applications to mathematical problems in various branches of technology.

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Descrizione del libro

This book, first published in 1939, updated in 1953, gives 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.

Contenuti

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 eztø(z)dz/z when ø(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.

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Altre edizioni note dello stesso titolo

9780521154154: Complex Variable Theory and Transform Calculus: With Technical Applications

Edizione in evidenza

ISBN 10:  0521154154 ISBN 13:  9780521154154
Casa editrice: Cambridge University Press, 2012
Brossura