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Complex Variable Theory and Transform Calculus
With Technical Applications
Taschenbuch von M. W. McLachlan
Sprache: Englisch

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Beschreibung
This book, first published in 1939, updated in 1953, explores the applications to mathematical problems in various branches of technology.
This book, first published in 1939, updated in 1953, explores the applications to mathematical problems in various branches of technology.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2011
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521154154
ISBN-10: 0521154154
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: McLachlan, M. W.
Auflage: Revised
Hersteller: Cambridge University Press
Maße: 216 x 140 x 24 mm
Von/Mit: M. W. McLachlan
Erscheinungsdatum: 10.08.2011
Gewicht: 0,565 kg
Artikel-ID: 107450915
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2011
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521154154
ISBN-10: 0521154154
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: McLachlan, M. W.
Auflage: Revised
Hersteller: Cambridge University Press
Maße: 216 x 140 x 24 mm
Von/Mit: M. W. McLachlan
Erscheinungsdatum: 10.08.2011
Gewicht: 0,565 kg
Artikel-ID: 107450915
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