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Advanced mathematics for applications /

"The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Prosperetti, Andrea (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2011.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • The classical field equations
  • Some simple preliminaries
  • Fourier series: applications
  • Fourier transform: applications
  • Laplace transform: applications
  • Cylindrical systems
  • Spherical systems
  • Sequences and series
  • Fourier series: theory
  • The Fourier and Hankel transforms
  • The Laplace transform
  • The Bessel equation
  • The Legendre equation
  • Spherical harmonics
  • Green's functions: ordinary differential equations
  • Green's functions: partial differential equations
  • Analytic functions
  • Matrices and finite-dimensional linear spaces
  • Infinite-dimensional spaces
  • Theory of distributions
  • Linear operators in infinite-dimensional spaces.