# Math

Pierre de Fermat
Pierre de Fermat (French: [pjɛːʁ dəfɛʁma]; 17[2] August 1601 or 1607[1] – 12 January 1665) was a French lawyer at the Parlement of Toulouse, France, and an amateur mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality. In particular, he is recognized for his discovery of an original method of finding the greatest and the smallest ordinates of curved lines, which is analogous to that of the differential calculus, then unknown, and his research into number theory. He made notable contributions to analytic geometry, probability, and optics. He is best known for Fermat's Last Theorem, which he described in a note at the margin of a copy of Diophantus' Arithmetica. Life and work[edit] Fermat was born in the first decade of the 17th century in Beaumont-de-Lomagne (present-day Tarn-et-Garonne), France; the late 15th-century mansion where Fermat was born is now a museum.

## René Descartes

Descartes frequently sets his views apart from those of his predecessors. In the opening section of the Passions of the Soul, a treatise on the early modern version of what are now commonly called emotions, Descartes goes so far as to assert that he will write on this topic "as if no one had written on these matters before". Many elements of his philosophy have precedents in late Aristotelianism, the revived Stoicism of the 16th century, or in earlier philosophers like Augustine.Applied mathematics is a branch of mathematics that concerns itself with mathematical methods that are typically used in science, engineering, business, and industry. Thus, "applied mathematics" is a mathematical science with specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems; as a profession focused on practical problems, applied mathematics focuses on the formulation and study of mathematical models.
Applied mathematics

Embrace Your Inner Statistician!
You are a probability machine, a statistician, a mathematical wizard. You may not be aware of this simple fact, but its true: Every day, you engage in a series of probabilistic decision-making. You choose based on the probabilities of various outcomes taking place.

Kevin Slavin on Lift 11: Geneva

Regression analysis is widely used for prediction and forecasting, where its use has substantial overlap with the field of machine learning. Regression analysis is also used to understand which among the independent variables are related to the dependent variable, and to explore the forms of these relationships. In restricted circumstances, regression analysis can be used to infer causal relationships between the independent and dependent variables. However this can lead to illusions or false relationships, so caution is advisable;[1] for example, correlation does not imply causation.
Regression analysis

By M. Bourne Jessica Simpson What has mathematics got to do with beauty? Actually, a lot. Physical attraction depends on ratio.
The Math Behind the Beauty

## Free Mathematics Tutorials, Problems and Worksheets (with applets)

The site includes several java applets to investigate Graphs of Functions, Equations, and Algebra as well as HTML5 Applets for iPads. Topics explored are: equations of line, ellipse, circle, parabola, hyperbola, polynomials; graphs of quadratic, rational, hyperbolic, exponential and logarithmic functions; one-to-one and inverse functions and inverse trigonometric functions; systems of linear equations; determinants and Cramer's rule; inverse matrix and matrix multiplication; vectors, complex numbers, polar equations; absolute value function; slope of a line; angle in trigonometry, unit circle, solutions to trigonometric equations; graph shifting, stretching, compression and reflection. Applets used as Online Math Calculators and Solvers and Online Geometry Calculators and Solvers are also included.
Version for printing It is often thought that mathematics can only develop after a civilisation has developed some form of writing. Although not easy for us to understand today, many civilisations reached highly advanced states without ever developing written records. Now of course it is difficult for us to know much about such civilisations since there is no written record to be studied today. This article looks at the mathematical achievements of one such civilisation. The civilisation we discuss, which does not appear to have found a need to develop writing, is that of the Incas.
Inca mathematics

A tiling with squares whose side lengths are successive Fibonacci numbers An approximation of the golden spiral created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; this one uses squares of sizes 1, 1, 2, 3, 5, 8, 13, 21, and 34. In mathematics, the Fibonacci numbers or Fibonacci series or Fibonacci sequence are the numbers in the following integer sequence: or (often, in modern usage):