Material de lectura

Lecturas Recomendadas

[Al-Ta] F. Almgren, J.E. Taylor. The Geometry of Soap Bubbles and Soap Films. Scientific American 235 (1976), no. 1, 82-93.

[Ch] F. Chamizo. Cálculo III (El cálculo de segundo es muy fácil). UAM 2001. Disponible en versión electrónica en http://www.uam.es/fernando.chamizo.

[Ch-Ma] A.J. Chorin, J.E. Marsden. A Mathematical Introduction to Fluid Mechanics. Springer-Verlag, 1979.

[Co] A. Córdoba. El método de Fourier y la difracción de la luz: un ensayo. Incluido en La Luz: el Ayer, el Hoy y el Mañana. F. Jaque Rechea y J. García Solé (Editores). Alianza Universidad 842. Alianza Editorial, 1996.

[Du-Fo-No] B.A. Dubrovin, A.T. Fomenko, S.P. Novikov. Modern Geometry - Methods and Applications (Part I). Graduate Texts in Mathematics 93. Springer-Verlag, 1984.

[Dy-Mc] H. Dym, H.P. McKean. Fourier Series and Integrals. Academic Press, 1972.

[Fe] W. Feller. An Introduction to Probability Theory and its Applications. Wiley Series in Probability and Mathematical Statistics. Wiley, 1971.

[Ga] G. Galilei. Diálogo sobre los dos máximos sistemas del mundo ptolemaico y copernicano. Alianza Editorial, 1994.

[Gr-Ry] I.S. Gradshteyn, I.M. Ryzhik. Table of Integrals, Series and Products. Academic Press, 1994.

[He-Jo-Bu] M.T. Heideman, D.H. Johnson, C.S. Burrus. Gauss and the history of the fast Fourier transform. Arch. Hist. Exact Sci. 34 (1985), no. 3, 265-277.

[Hi-Tr] S. Hildebrandt, A. Tromba. Mathematics and Optimal Form. Scientific American Library, 1985.

[Hu-Ma] T.J.R. Hughes, J.E. Marsden. A Short Course in Fluid Mechanics. Mathematics Lecture Series 6. Publish or Perish, 1976.

[Is] C. Isenberg. The Science of Soap Films and Soap Bubbles. Dover Books Explaining Science. Dover, 1992.

[Ko] V.S. Koroliuk. Manual de la Teoría de Probabilidades y Estadística Matemática. Mir, 1981.

[La] C. Lanczos. The Variational Principles of Mechanics. Mathematical Expositions 4. University of Toronto Press, 1970.

[Ma-Pu] C. Marchioro, M. Pulvirenti. Mathematical Theory of Incompressible Nonviscous Fluids. Springer-Verlag, 1994.

[Mx] J.C. Maxwell. A Trataise on Electricity and Magnetism. Vol. I, II. Oxford Classic Series. Clarendon Press, 1998.

[Mz] J. Mazumdar. An Introduction to Mathematical Physiology and Biology. Cambridge Studies in Mathematical Biology 15. Cambridge University Press 1999.

[Mo] F. Morgan. Geometric Measure Theory: a beginner's guide. Academic Press, 1988.

[Mu] J. Muñoz Santonja. Newton: el umbral de la ciencia moderna. La Matemática en sus personajes 3. Nivola libros, 1999.

[Na] F. Natterer. Mathematical models for medical imaging. Computational radiology and imaging (Minneapolis, MN, 1997), 17-32, IMA Vol. Math. Appl. 110. Springer, 1999.

[Ra-Ka] A.G. Ramm, A.I. Katsevich. The Radon Transform and Local Tomography. CRC Press, 1996.

[Ru] J. Ruiz Vázquez. Física. Selecciones Científicas, 1978.

[St-Bu] J. Stoer, R. Bulirsch. Introduction to Numerical Analysis. (2nd edition). Texts in Applied Mathematics 12. Springer 1993.

[Ta] M.E. Taylor. Partial Differential Equations. Texts in Applied Mathematics 23. Springer 1996.

[Va 2] J.L. Vázquez. Matemáticas, Ciencia y Tecnología: una relación profunda y duradera. UAM 2002. (Disponible en: http://www.uam.es/juanluis.vazquez). Es versión actualizada en español de The importance of Mathematics in the development of Science and Technology. Boletín Soc. Esp. Mat. Aplicada 19, (2001), 69-112.

[Yn] F.J. Ynduráin. Mecánica Cuántica. Alianza Universidad Textos. Alianza, 1988.

[Ze-Ru-So] Ya.B. Zeldovich, A.A. Ruzmaikin, D.D. Sokoloff. The Almighty Chance. World Scientific Lecture Notes in Physics 20. World Scientific, 1990.