Física (plan 2002) 2023-1

Sexto Semestre, Matemáticas Avanzadas de la Física

Temario

1 Repaso

1.1 Solución Ecuaciones Diferenciales Método de Series

1.2 Ecuaciones Diferenciales Parciales: separación de Variables

2. Operador de Sturm Liouville y funciones especiales (2 evaluaciones, 50%)

2.1 Fourier

2.2 Bessel

2.3 Legendre y otras funciones

3. Transformaciones Integrales (1 evaluación, 25%)

3.1 Fourier

3.2 Laplace

4. Funciones de Green (1 evaluacion, 25%)

Bibliografía

Appel W. Mathematics for physicists. USA: Princeton University Press; 2007.

Marsden J. E., Hoffman M. I., Basic complex analysis, 3rd Ed., W. H. Freeman and Company, 1998.

Asmar N. H., Applied Complex Analysis with Partial Differential Equations, Prentice-Hall, Inc., 2002.

Brown J. W., Churchill R. V., Complex variables and applications, 8th Ed., McGraw-Hill Higher Education, 2009.

Arfken BA, Weber HJ, Harris FE. Mathematical methods for physicists, a comprehensive guide. 6th ed. USA: Academic Press; 2012.

Asmar NH. Partial differential equations with Fourier series and boundary value problems. USA: Pearson Education; 2005.

Haberman R. Applied partial differential equations with Fourier series and boundary value problems. USA: Pearson Education; 2012.

McQuarrie DA. Mathematical methods for scientists and engineers. USA: University Science Books; 2003.

Weinberger HF. A first course in partial differential equations, with complex variables and transform methods. USA: Dover; 1995.