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A journey into partial differential equations / William O. Bray.

Por: Tipo de material: TextoTextoSeries Editor: Sudbury, MA : Jones & Bartlett Learning, c2012Descripción: xvi, 316 páginas : ilustraciones ; 24 cmTipo de contenido:
  • texto
Tipo de medio:
  • no mediado
Tipo de portador:
  • volumen
ISBN:
  • 9780763772567
  • 0763772569
Tema(s): Clasificación LoC:
  • QA377 .B73 2012
Contenidos:
Unfolding ideas via examples -- First order linear partial differential equations -- The classical trinity revisited -- An introduction to distributions -- Fourier expansions -- Diffusion and waves with boundaries -- Laplace's equation -- Fourier expansions on a sphere.
Revisión: Ideal for the 1-term course, A Journey into Partial Differential Equations provides a solid introduction to PDEs for the undergraduate math, engineering, or physics student. Discussing underlying physics, concepts and methodologies, the text focuses on the classical trinity of equations: the wave equation, heat/diffusion equation, and Laplace's equation. Bray provides careful treatment of the separation of variables and the Fourier method, motivated by the geometrical notion of symmetries and places emphasis on both the qualitative and quantitative methods, as well as geometrical perspectives. With hundred of exercises and a wealth of figures, A Journey into Partial Differential Equations proves to be the model book for the PDE course.
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Libro Libro BURRF: FG (PP) QA377 .B73 2012 1 1080227103

Incluye bibliografía (páginas 309-311) e índice.

Unfolding ideas via examples -- First order linear partial differential equations -- The classical trinity revisited -- An introduction to distributions -- Fourier expansions -- Diffusion and waves with boundaries -- Laplace's equation -- Fourier expansions on a sphere.

Ideal for the 1-term course, A Journey into Partial Differential Equations provides a solid introduction to PDEs for the undergraduate math, engineering, or physics student. Discussing underlying physics, concepts and methodologies, the text focuses on the classical trinity of equations: the wave equation, heat/diffusion equation, and Laplace's equation. Bray provides careful treatment of the separation of variables and the Fourier method, motivated by the geometrical notion of symmetries and places emphasis on both the qualitative and quantitative methods, as well as geometrical perspectives. With hundred of exercises and a wealth of figures, A Journey into Partial Differential Equations proves to be the model book for the PDE course.

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