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Introduction to the Theory and Application of the Laplace Transformation

Authors: Doetsch, G.

Editors: Nader, W. (Ed.)

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eBook $84.99
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  • ISBN 978-3-642-65690-3
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Softcover $109.99
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  • ISBN 978-3-642-65692-7
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About this book

In anglo-american literature there exist numerous books, devoted to the application of the Laplace transformation in technical domains such as electrotechnics, mechanics etc. Chiefly, they treat problems which, in mathematical language, are governed by ordi­ nary and partial differential equations, in various physically dressed forms. The theoretical foundations of the Laplace transformation are presented usually only in a simplified manner, presuming special properties with respect to the transformed func­ tions, which allow easy proofs. By contrast, the present book intends principally to develop those parts of the theory of the Laplace transformation, which are needed by mathematicians, physicists a,nd engineers in their daily routine work, but in complete generality and with detailed, exact proofs. The applications to other mathematical domains and to technical prob­ lems are inserted, when the theory is adequately· developed to present the tools necessary for their treatment. Since the book proceeds, not in a rigorously systematic manner, but rather from easier to more difficult topics, it is suited to be read from the beginning as a textbook, when one wishes to familiarize oneself for the first time with the Laplace transforma­ tion. For those who are interested only in particular details, all results are specified in "Theorems" with explicitly formulated assumptions and assertions. Chapters 1-14 treat the question of convergence and the mapping properties of the Laplace transformation. The interpretation of the transformation as the mapping of one function space to another (original and image functions) constitutes the dom­ inating idea of all subsequent considerations.

Table of contents (40 chapters)

  • Introduction of the Laplace Integral from Physical and Mathematical Points of View

    Doetsch, Gustav

    Pages 1-6

  • Examples of Laplace Integrals. Precise Definition of Integration

    Doetsch, Gustav

    Pages 7-13

  • The Half-Plane of Convergence

    Doetsch, Gustav

    Pages 13-18

  • The Laplace Integral as a Transformation

    Doetsch, Gustav

    Pages 19-20

  • The Unique Inverse of the Laplace Transformation

    Doetsch, Gustav

    Pages 20-25

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-642-65690-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.99
price for USA in USD
  • ISBN 978-3-642-65692-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to the Theory and Application of the Laplace Transformation
Authors
Editors
  • W. Nader
Translated by
Nader, W.
Copyright
1974
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-65690-3
DOI
10.1007/978-3-642-65690-3
Softcover ISBN
978-3-642-65692-7
Edition Number
1
Number of Pages
VIII, 327
Topics