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Mathematics for the Physical Sciences

The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity...

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Autor principal: Leslie Copley
Formato: Libro
Publicado: De Gruyter Open Poland 2014
Acceso en línea:Ver este registro en EBSCOhost
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        atl: Mathematics for the Physical Sciences
        ptl: Mathematics for the Physical Sciences
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        au: Leslie Copley
      su: Mathematical physics
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          MATHEMATICS / General
          MATHEMATICS / Differential Equations / General
          MATHEMATICS / Geometry / General
          MATHEMATICS / Mathematical Analysis
          SCIENCE / Physics / Mathematical & Computational
          Mathematical physics
      ab: The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and “special functions” of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green's functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations.
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    language: English
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