{"product_id":"complex-variable-theory-and-transform-calculus-with-technical-applications-paperback-9780521154154","title":"Complex Variable Theory and Transform Calculus; With Technical Applications (Paperback) 9780521154154","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eComplex Variable Theory and Transform Calculus\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eWith Technical Applications\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis book, first published in 1939, updated in 1953, explores the applications to mathematical problems in various branches of technology.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eM. W. McLachlan (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521154154, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 26 January 2012\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e402 pages\u003cbr\u003e21.7 x 14 x 2.4 cm, 0.7 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface to the second edition\u003cbr\u003e Preface to the first edition\u003cbr\u003e Part I. Theory of Complex Variable: 1. Functions of a complex variable\u003cbr\u003e 2. Integration: Cauchy's theorem: Taylor's and Laurent's theorems\u003cbr\u003e 3. Calculus of residues\u003cbr\u003e 4. The Bromwich contour: equivalent contours: evaluation of integrals\u003cbr\u003e 5. Gamma, error and Bessel functions\u003cbr\u003e 6. Evaluation of 1\/2?i?Br1 eztø(z)dz\/z when ø(z) has branch points\u003cbr\u003e 7. Differentiation and integration under the integral sign\u003cbr\u003e Part II. Theory of Transform Calculus: 8. Mellin inversion theorem: transform theory\u003cbr\u003e 9. Solution of ordinary linear differential equations\u003cbr\u003e 10. Discontinuous functions: impulses: frequency spectra\u003cbr\u003e Part III. Technical Applications of Parts I and II: 11. Electrical circuits: vibrational systems: aeroplane dynamics: deflexion of beams\u003cbr\u003e 12. Radio and television receivers\u003cbr\u003e 13. Partial linear differential equations: electrical transmission lines: electrical wave filters\u003cbr\u003e 14. Solenoid with metal core: condenser microphone: loud speaker horn\u003cbr\u003e 15. Diffusion of heat: absorption of moisture problems to be worked out by the reader\u003cbr\u003e Part IV. Appendices and List of References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical modelling [\u003ca title=\"See our other books on Mathematical modelling\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20modelling%20%5BPBWH%5D%22\"\u003ePBWH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46006720921880,"sku":"9780521154154","price":47.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521154154i_ace92a7d-61db-4293-8924-8e18d0bf0c9f.jpg?v=1691372705","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/complex-variable-theory-and-transform-calculus-with-technical-applications-paperback-9780521154154","provider":"Freshly Printed Books","version":"1.0","type":"link"}