Angel "Java" Lopez en Blog

Publicado el 23 de Mayo, 2012, 7:21

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Acá en Argentina se lo conoce más por Análisis Matemático, pero he dejado Cálculo (Infinitesimal) por ser el término más usado (incluso en inglés como Calculus). El tema tiene una interesantíma y larga historia que parte desde Arquímedes, pasando por Cavalieri, Oresme, Nicolás de Cusa, Pascal, Fermat, Barrow (... varios más.... ) llegando a Newton, Leibnitz, y siguiendo con Euler, Laplace, Lagrange, Fourier, (y varias decenas más). Está relacionado con la física, la topología, el análisis funcional, etc. Es un tema al que le debo un estudio más detenido. Por ahora, esta primera serie de enlaces que me resultaron interesantes.

http://en.wikipedia.org/wiki/Calculus
http://es.wikipedia.org/wiki/C%C3%A1lculo_infinitesimal

Calculus (Latin, calculus, a small stone used for counting) is a branch of mathematicsfocused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of modern mathematics education. It has two major branches,differential calculus and integral calculus, which are related by the fundamental theorem of calculus. Calculus is the study of change,[1] in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis. Calculus has widespread applications in science, economics, and engineeringand can solve many problems for which algebra alone is insufficient.

The transcendence of e
http://divisbyzero.com/2010/09/28/the-transcendence-of-e/

Special Functions: A Graduate Text
http://www.amazon.com/Special-Functions-Graduate-Cambridge-Mathematics/dp/052119797X

¿Cuánto vale cero elevado a cero? ¿Y cero factorial?
http://gaussianos.com/%C2%BFcuanto-vale-cero-elevado-a-cero-%C2%BFy-cero-factorial/

Integral con condiciones
http://gaussianos.com/integral-con-condiciones/

Calculus Doesn"t Suck!
http://blogs.discovermagazine.com/intersection/2010/09/27/calculus-doesnt-suck/

How to differentiate a non-differentiable function
http://www.johndcook.com/blog/2009/10/25/how-to-differentiate-a-non-differentiable-function/

Infinite Products, Part 1
http://unapologetic.wordpress.com/2010/07/29/infinite-products-part-1/

Measurable Graphs
http://unapologetic.wordpress.com/2010/07/21/measurable-graphs/

Límite homenaje a Vladimir Arnold
http://gaussianos.com/limite-homenaje-a-vladimir-arnold/

When is an Integral Zero?
http://unapologetic.wordpress.com/2010/06/07/when-is-an-integral-zero/

Indefinite Integrals
http://unapologetic.wordpress.com/2010/05/27/indefinite-integrals/

Constructing Intermediate Values
http://blog.sigfpe.com/2010/05/constructing-intermediate-values.html

Indefinite Integrals and Convergence I
http://unapologetic.wordpress.com/2010/05/31/indefinite-integrals-and-convergence-i/

Convergence in Measure and Algebra
http://unapologetic.wordpress.com/2010/05/21/convergence-in-measure-and-algebra/

Integrable Functions
http://unapologetic.wordpress.com/2010/06/02/integrable-functions/

Semiclosed Intervals
http://unapologetic.wordpress.com/2010/04/14/semiclosed-intervals/

Measure as Metric
http://unapologetic.wordpress.com/2010/03/24/measure-as-metric/

A beautiful proof without words
http://wildaboutmath.com/2010/03/24/a-beautiful-proof-without-words/

Exhaustion of nested squares and Wallis product
http://commonsensequantum.blogspot.com.ar/2010/03/exhaustion-of-nested-squares-and-wallis.html

Measures
http://unapologetic.wordpress.com/2010/03/19/measures/

The Geometric Interpretation of the Jacobian Determinant
http://unapologetic.wordpress.com/2010/01/08/the-geometric-interpretation-of-the-jacobian-determinant/

Residues and Integrals
http://sbseminar.wordpress.com/2010/01/12/residues-and-integrals/

Cramer"s Rule
http://unapologetic.wordpress.com/2009/11/17/cramers-rule/

Classifying Critical Points
http://unapologetic.wordpress.com/2009/11/24/classifying-critical-points/

Local Extrema in Multiple Variables
http://unapologetic.wordpress.com/2009/11/23/local-extrema-in-multiple-variables/

The Inverse Function Theorem
http://unapologetic.wordpress.com/2009/11/18/the-inverse-function-theorem/

The Jacobian
http://unapologetic.wordpress.com/2009/11/11/the-jacobian/

sympy
http://code.google.com/p/sympy/
Python library for symbolic mathematics

Mis enlaces
http://delicious.com/ajlopez/mathematics+calculus

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
http://twitter.com/ajlopez