The Laplace transform :theory and applications

  • 作者: Schiff, Joel L.,
  • 出版:
  • 稽核項: 1 online resource (xiv, 235 pages) :illustrations.
  • 叢書名: Undergraduate texts in mathematics
  • 標題: MATHEMATICS Functional Analysis. , Laplace, Transformation de. , Transformation de Laplace. , Electronic books. , MATHEMATICS , Laplace transformation. , Functional Analysis.
  • ISBN: 661014575X , 9786610145751
  • ISBN: 0387986987 , 9780387986982
  • 試查全文@TNUA:
  • 附註: Includes bibliographical references (pages 207-208) and index. Basic Principles -- Applications and Properties -- Complex Variable Theory -- Complex Inversion Formula -- Partial Differential Equations -- Appendix -- References.
  • 摘要: 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.
  • 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=104558
  • 系統號: 005307187
  • 資料類型: 電子書
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