Angel "Java" Lopez en Blog

Publicado el 22 de Junio, 2012, 14:28

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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