Operational Mathematics – Ruel V. Churchill – 3rd Edition


This third revised and expanded edition is a textbook and a reference on the theory and applications of integral transformations that are most useful for solving problems in linear differential equations. It presents a careful review of the theory and applications of Laplace transforms; chapters on finite and exponential Fourier transforms; Fourier transforms in the midline; Hankel; Legendre and other integral transformations; and previously unpublished material on general integral transformations .

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  • 1. The Laplace transformation
    2. Further properties of the transformation
    3. Elementary applications
    4. Problems in partial differential equations
    5. Functions of a complex variable
    6. The inversion integral
    7. Problems in heat conduction
    8. Problems in mechanical vibrations
    9. Generalized Fourier series
    10. General integral transforms
    11. Finite Fourier transforms
    12. Exponential Fourier transforms
    13. Fourier transforms on the half line
    14. Hankel transforms
    15. Legendre and other integral transforms.
  • Citation
    • Full Title: Operational Mathematics
    • Author/s:
    • ISBN-10: 0070108706
    • ISBN-13: 9780070108707
    • Edition: 3rd Edition
    • Topic: Math
    • Subtopic: Mathematics
    • File Type: eBook
    • Idioma: English

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