matematicas visuales visual math


In MatematicasVisuales you will find visual expositions of mathematical concepts.

MatematicasVisuales intends to complement the work initiated by artiludios, a site with games, puzzles and mathematical curiosities.

Reading Miguel de Guzmán I found a demonstration of the line of Simpson and the Steiner Deltoid. It serves as an introduction to the geometry section.

The concept of function and its graphical representation are a key concept and we dedicate special attention to it in the analysis section.

Geometric representation of the complex numbers facilitates its visualization. The representation of complex functions usually needs dimension fourth. Sometimes, this difficulty is avoided using colors with which useful and attractive representations are obtained.

Thinking in who have to start learning probability we have this section about this subject.

In the history section we approach mathematics through its history. I try to present the origin and growth of some mathematical concepts.

Miguel Cardil made the design of You can see more of his works in Do not miss his Stick Figure Museum.

The contents of MatematicasVisuales has been developed by Roberto Cardil.

matematicasVisuales has a page in Facebook. If you likes this site, go into and share matematicasVisuales.

Loci has published my article Kepler:The volume of a wine barrel. Loci is a publication of the Mathematical Asociation of America (MAA). It is the journal of the Matematical Science Digital Library (MathDL). Thanks to Janet Beery, editor of Loci, for her help and encouragement. They has also choosen Taylor Polynomials - Exponential Functions as a resource in his Course Communities in Undergraduate Mathematics.
The Math Forum @ Drexel maintains an Internet Mathematics Library and they have chosen MatematicasVisuales as Hot Spot for the month of August, 2010.
This site MatematicasVisuales has been selected in 2009/11/16 as a "Cool Math Site of the Week" in the project "Knot a Braid of Links" of the Canadian Mathematical Society. It is Knot 374.
This site matematicasVisuales has been linked as an online resource in The Electronic Journal of Mathematics and Technology. (September, 2012)

7th April 2014

History: Leonardo da Vinci
Leonardo da Vinci: Drawing of a truncated tetrahedron made to Luca Pacioli's De divina proportione. | matematicas visuales
Leonardo da Vinci made several drawings of polyhedra for Luca Pacioli's book 'De divina proportione'. Here we can see an adaptation of the truncated tetrahedron.

3rd March 2014

Analysis: Rational Functions
Rational Functions (4): Asymptotic behavior | matematicas visuales
You can add a polynomial to a proper rational function. The end behavior of this rational function is very similar to the polynomial.

3rd February 2014

Analysis: Rational Functions
Rational Functions (3): Oblique Asymptote | matematicas visuales
For large absolute values of x, some rational functions behave like an oblique straight line, we call this line an oblique or slant asymptote.

7th January 2014

Analysis: Rational Functions
Rational Functions (2): degree 2 denominator | matematicas visuales
When the denominator of a rational function has degree 2 the function can have two, one or none real singularities.

2nd December 2013

Analysis: Rational Functions
Rational Functions (1): Linear rational functions | matematicas visuales
Rational functions can be writen as the quotient of two polynomials. Linear rational functions are the simplest of this kind of functions.

20th October 2013

Analysis: Convergence of Series, the Integral Test
Convergence of Series: Integral test | matematicas visuales
Using a decreasing positive function you can define series. The integral test is a tool to decide if a series converges o diverges. If a series converges, the integral test provide us lower and upper bounds.

7th October 2013

History: Durer's construction of a non regular pentagon
Durer's approximation of a Regular Pentagon | matematicas visuales
In his book 'Underweysung der Messung' Durer draw a non-regular pentagon with ruler and a fixed compass. It is a simple construction and a very good approximation of a regular pentagon.

16th September 2013

Geometry: Plane net of a dodecahedron
Plane developments of geometric bodies: Dodecahedron | matematicas visuales
The first drawing of a plane net of a regular dodecahedron was published by Dürer in his book 'Underweysung der Messung' ('Four Books of Measurement'), published in 1525 .

2nd September 2013

Geometry: Volume of a regular dodecahedron
Volume of a regular dodecahedron | matematicas visuales
One eighth of a regular dodecahedon of edge 2 has the same volume as a dodecahedron of edge 1.

1st July 2013

Geometry: Drawing a regular pentagon
Drawing a regular pentagon with ruler and compass | matematicas visuales
You can draw a regular pentagon given one of its sides constructing the golden ratio with ruler and compass.

3rd June 2013

Geometry: Fifteen degrees angle
Drawing fifteen degrees angles | matematicas visuales
Using a ruler and a compass we can draw fifteen degrees angles. These are basic examples of the central and inscribed in a circle angles property.

6th May 2013

Geometry: The Golden Ratio
The Diagonal of a Regular Pentagon and the Golden Ratio | matematicas visuales
The diagonal of a regular pentagon are in golden ratio to its sides and the point of intersection of two diagonals of a regular pentagon are said to divide each other in the golden ratio or 'in extreme and mean ratio'.

1st April 2013

Analysis: The Fundamental Theorem of Calculus
The Fundamental Theorem of Calculus (2) | matematicas visuales
The Second Fundamental Theorem of Calculus is a powerful tool for evaluating definite integral (if we know an antiderivative of the function).

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