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The Laplace transform : the...
The Laplace transform is an extremely versatile technique for solving differential equations, both ordinary and partial. It can also be used to solve difference equations. The present text, while mathematically rigorous, is readily accessible to students of either mathematics or engineering. Even the Dirac delta function, which is normally covered in a heuristic fashion, is given a completely justifiable treatment in the context of the Riemann-Stieltjes integral, yet at a level an undergraduate student can appreciate. When it comes to the deepest part of the theory, the Complex Inversion Formula, a knowledge of poles, residues, and contour integration of meromorphic functions is required. To this end, an entire chapter is devoted to the fundamentals of complex analysis. In addition to all the theoretical considerations, there are numerous worked examples drawn from engineering and physics. When applying the Laplace transform, it is important to have a good understanding of the theory underlying it, rather than just a cursory knowledge of its application. This text provides that understanding
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monografia Rebiun25865470 https://catalogo.rebiun.org/rebiun/record/Rebiun25865470 m o d cr cnu|||unuuu 040401s1999 nyua ob 001 0 eng d 55050685 70749340 228373891 488713153 559474341 646705906 814259083 880329697 888594952 923695422 988448952 992053612 1035684621 1044207284 1045450328 1056327431 1060769635 1075071290 1078832418 1097351167 1113071388 9780387227573 electronic bk.) 0387227571 electronic bk.) 9781475772623 print) 1475772629 print) 0585499306 9780585499307 661014575X 9786610145751 0387986987 9780387986982 10.1007/978-0-387-22757-3 doi AU@ 000053237675 AU@ 000056655192 NZ1 15181172 N$T eng rda pn N$T OCLCQ OCL YDXCP OCLCQ TNF OCLCQ REDDC BAKER CO3 EBLCP UAB MERUC CCO E7B IDEBK OCLCO OCLCQ NUI GW5XE OCLCF OCLCQ DKDLA OCLCQ COO SLY OCLCQ MEU OCLCQ MOR PIFBR OCLCQ WY@ LUE STF OCLCQ CEF NRAMU TOF U3W OCLCQ CANPU TKN LEAUB CNTRU OCLCQ UKBTH OCLCQ MAT 037000 bisacsh PBK. bicssc 515/.723 22 O177. 6 clc Schiff, Joel L. author The Laplace transform theory and applications Joel L. Schiff New York, NY Springer-Verlag New York, Inc. [1999] New York, NY New York, NY Springer-Verlag New York, Inc. 1999 1 online resource (xiv, 235 pages) illustrations 1 online resource (xiv, 235 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Undergraduate texts in mathematics Includes bibliographical references (pages 207-208) and index Basic Principles -- Applications and Properties -- Complex Variable Theory -- Complex Inversion Formula -- Partial Differential Equations -- Appendix -- References The Laplace transform is an extremely versatile technique for solving differential equations, both ordinary and partial. It can also be used to solve difference equations. The present text, while mathematically rigorous, is readily accessible to students of either mathematics or engineering. Even the Dirac delta function, which is normally covered in a heuristic fashion, is given a completely justifiable treatment in the context of the Riemann-Stieltjes integral, yet at a level an undergraduate student can appreciate. When it comes to the deepest part of the theory, the Complex Inversion Formula, a knowledge of poles, residues, and contour integration of meromorphic functions is required. To this end, an entire chapter is devoted to the fundamentals of complex analysis. In addition to all the theoretical considerations, there are numerous worked examples drawn from engineering and physics. When applying the Laplace transform, it is important to have a good understanding of the theory underlying it, rather than just a cursory knowledge of its application. This text provides that understanding English Laplace transformation Laplace, Transformation de MATHEMATICS- Functional Analysis Laplace transformation Laplace, Transformation de Laplace transformation Electronic books Print version Schiff, Joel L. Laplace transform. New York : Springer, 1999 0387986987 (DLC) 99014037 (OCoLC)40776787 Undergraduate texts in mathematics