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Estoy pensando empezar una serie sobre la historia del cálculo infinitesimal. Mientras tanto, más enlaces del tema general, algunas biografías, resultados conocidos, otros resultados menos conocidos.
Johann Peter Gustav Lejeune Dirichlet http://www-history.mcs.st-and.ac.uk/Biographies/Dirichlet.html
Isaac Barrow http://www-history.mcs.st-and.ac.uk/Biographies/Barrow.html
An interesting multivariable calculus example http://divisbyzero.com/2012/04/18/an-interesting-multivariable-calculus-example/
Esfera, cilindro y una constante inesperada http://gaussianos.com/esfera-cilindro-y-una-constante-inesperada/
Si te digo veintiún mililitros, son 21 mililitros http://pequenoldn.librodenotas.com/matiaventuras/1409/si-te-digo-veintiun-mililitros-son-21-mililitros
Harold Calvin Marston Morse http://www-history.mcs.st-and.ac.uk/Biographies/Morse.html
Reader Survey: log|x| + C http://golem.ph.utexas.edu/category/2012/03/reader_survey_logx_c.html
General Antiderivatives http://www.xamuel.com/general-antiderivatives/
Functional analysis http://en.wikipedia.org/wiki/Functional_analysis Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear operators acting upon these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential and integral equations.
Luis Caffarelli y Michael Aschbacher, Premio Wolf de Matemáticas 2012 http://gaussianos.com/luis-caffarelli-y-michael-aschbacher-premio-wolf-de-matematicas-2012/ Los matemáticos Luis Caffarelli (argentino) y Michael Aschbacher (estadounidense) han sido galardonados con el Premio Wolf de Matemáticas en su edición de 2012. Caffarelli lo gana por su trabajo sobre ecuaciones en derivadas parciales y Aschbacher por sus importantes aportaciones a la demostración del teorema de clasificación de grupos finitos simples.
A Family of Nontrivial Homology Classes (part 3) http://unapologetic.wordpress.com/2011/12/27/a-family-of-nontrivial-homology-classes-part-3/
Hyperreals and Non-Standard Analysis http://isaacsolomonmath.files.wordpress.com/2012/01/hyperreals-and-nonstandard-analysis1.pdf
Green's function http://en.wikipedia.org/wiki/Green%27s_function
The Classical Stokes Theorem http://unapologetic.wordpress.com/2011/11/23/the-classical-stokes-theorem/
Cédric Villani http://en.wikipedia.org/wiki/C%C3%A9dric_Villani Cédric Villani (born 5 October 1973) is a French mathematician working primarily on partial differential equations and mathematical physics. He was awarded the Fields Medal in 2010.
Cedric Villani http://www.youtube.com/watch?v=kKcZTSoBbe8&feature=youtu.be
Laurent Schwartz http://en.wikipedia.org/wiki/Laurent_Schwartz
The Cotlar-Stein lemma http://terrytao.wordpress.com/2011/05/25/the-cotlar-stein-lemma/
The Picard Iteration Converges http://unapologetic.wordpress.com/2011/05/06/the-picard-iteration-converges/
Stein’s spherical maximal theorem http://terrytao.wordpress.com/2011/05/21/steins-spherical-maximal-theorem/
Improving Freshman Math: The Integral Test http://www.xamuel.com/improving-freshman-math-the-integral-test/
Gronwall’s Inequality http://unapologetic.wordpress.com/2011/05/11/gronwalls-inequality/
Sobolev spaces on manifolds http://sbseminar.wordpress.com/2011/02/22/sobolev-spaces-on-manifolds/
The Bourgain-Guth argument for proving restriction theorems http://terrytao.wordpress.com/2010/12/28/the-bourgain-guth-argument-for-proving-restriction-theorems/
Los radares de Lagrange http://gaussianos.com/los-radares-de-lagrange/
Conformal Mapping on Riemann Surfaces (Dover Books on Mathematics) http://www.amazon.com/Conformal-Mapping-Riemann-Surfaces-Harvey/dp/0486640256
An Introduction to the Calculus of Variations (Dover Books on Mathematics) http://www.amazon.com/Introduction-Calculus-Variations-Charles-Fox/dp/0486654990
Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems (Dover Books on Mathematics) http://www.amazon.com/Introduction-Partial-Differential-Equations-Boundary-Value/dp/048666158X
General Theory of Functions and Integration (Dover Books on Mathematics) http://www.amazon.com/General-Theory-Functions-Integration-Taylor/dp/0486649881
Complex Analysis with Applications (Dover Books on Mathematics) http://www.amazon.com/Complex-Analysis-Applications-Richard-Silverman/dp/0486647625
Mis Enlaces http://delicious.com/ajlopez/calculus
Nos leemos!
Angel "Java" Lopez http://www.ajlopez.com http://twitter.com/ajlopez
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