Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Methods: 26 (Progress in Mathematical Physics, 26) - Tapa dura

Libro 3 de 37: Progress in Mathematical Physics

Bruening, Erwin; Blanchard, Philippe

 
9780817642280: Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Methods: 26 (Progress in Mathematical Physics, 26)
Tapa dura
ISBN 10: 0817642285 ISBN 13: 9780817642280
Editorial: Birkhäuser, 2002

Sinopsis

Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.

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Acerca del autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

De la contraportada

Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. A comprehensive bibliography and index round out the work.
Key Topics: Part I: A brief introduction to (Schwartz) distribution theory; Elements from the theories of ultra distributions and hyperfunctions are given in addition to some deeper results for Schwartz distributions, thus providing a rather comprehensive introduction to the theory of generalized functions. Basic properties of and basic properties for distributions are developed with applications to constant coefficient ODEs and PDEs; the relation between distributions and holomorphic functions is developed as well. * Part II: Fundamental facts about Hilbert spaces and their geometry. The theory of linear (bounded and unbounded) operators is developed, focusing on results needed for the theory of Schr"dinger operators. The spectral theory for self-adjoint operators is given in some detail. * Part III: Treats the direct methods of the calculus of variations and their applications to boundary- and eigenvalue-problems for linear and nonlinear partial differential operators, concludes with a discussion of the Hohenberg--Kohn variational principle. * Appendices: Proofs of more general and deeper results, including completions, metrizable Hausdorff locally convex topological vector spaces, Baire's theorem and its main consequences, bilinear functionals.
Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.

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Editorial
Birkhäuser
Año de publicación
2002
Idioma
Inglés
ISBN 10 
0817642285
ISBN 13 
9780817642280
Encuadernación
Tapa dura
Número de páginas
496
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Otras ediciones populares con el mismo título

9781461265894: Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Methods: 26 (Progress in Mathematical Physics)

Edición Destacada

ISBN 10:  1461265894 ISBN 13:  9781461265894
Editorial: Birkhäuser, 2012
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