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Look Inside The Wave Equation on a Curved Space-Time

The Wave Equation on a Curved Space-Time

£37.99

Part of Cambridge Monographs on Mathematical Physics

  • Date Published: March 2010
  • availability: Available
  • format: Paperback
  • isbn: 9780521136365

£ 37.99
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  • This book was originally published in 1975. In Einstein's General Theory of Relativity the effects of gravitation are represented by the curvature of space-time. Physical processes occurring in the presence of gravitation must then be treated mathematically in terms of their behaviour in a curved space-time. One of the most basic of these processes is wave propagation, and this book gives a rigourous discussion of the local effects of curvature on the behaviour of waves. In the course of this discussion many techniques are developed which are also needed for a study of more general problems, in which the gravitational field itself plays a dynamical role. Although much of the book deals with four-dimensional space-time, the n-dimensional case is also treated, more briefly. The subject-matter is also of interest in other branches of mathematical physics and, as a fresh account of the classical work of Hadamard and M. Riesz, in the theory of partial differential equations.

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    Product details

    • Date Published: March 2010
    • format: Paperback
    • isbn: 9780521136365
    • length: 296 pages
    • dimensions: 229 x 152 x 17 mm
    • weight: 0.44kg
    • availability: Available
  • Table of Contents

    Preface
    1. Differential geometry
    2. Distribution theory
    3. Characteristics and the propagation of discontinuities
    4. Fundamental solutions
    5. Representation theorems
    6. Wave equations on n-dimensional space-times
    Appendix
    Bibliography
    Notation
    Index.

  • Author

    F. G. Friedlander

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