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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.

Pierre de Fermat

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 laid the foundation for 17th-century continental rationalism, later advocated by Baruch Spinoza and Gottfried Leibniz, and opposed by the empiricist school of thought consisting of Hobbes, Locke, Berkeley, and Hume.

René Descartes

Leibniz, Spinoza and Descartes were all well versed in mathematics as well as philosophy, and Descartes and Leibniz contributed greatly to science as well. Applied mathematics. Applied mathematics is a branch of mathematics that deals with mathematical methods that find use in science, engineering, business, computer science, and industry.

Applied mathematics

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 by formulating and studying mathematical models. Embrace Your Inner Statistician! You are a probability machine, a statistician, a mathematical wizard.

Embrace Your Inner Statistician!

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. This occurs whether you are changing lanes on the highway or deciding what food to eat. Consider some decisions many of you are likely to make over the next 24 hours: Kevin Slavin on Lift 11: Geneva. Regression analysis. Regression analysis is widely used for prediction and forecasting, where its use has substantial overlap with the field of machine learning.

Regression analysis

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. The performance of regression analysis methods in practice depends on the form of the data generating process, and how it relates to the regression approach being used.

Since the true form of the data-generating process is generally not known, regression analysis often depends to some extent on making assumptions about this process. History[edit] Regression models[edit] The Math Behind the Beauty. By M. Bourne Jessica Simpson What has mathematics got to do with beauty? Actually, a lot. Physical attraction depends on ratio. Our attraction to another person's body increases if that body is symmetrical and in proportion. Scientists believe that we perceive proportional bodies to be more healthy. Leonardo da Vinci's "Vitruvian Man", showing the golden ratio in body dimensions Leonardo da Vinci's drawings of the human body emphasised its proportion.

(foot to navel) : (navel to head) Similarly, buildings are more attractive if the proportions used follow the Golden Ratio. Golden Ratio The Golden Ratio (or "Golden Section") is based on Fibonacci Numbers, where every number in the sequence (after the second) is the sum of the previous 2 numbers: We will see (below) how the Fibonnaci Numbers lead to the Golden Ratio: Physical Beauty Why do many people feel that Jessica Simpson is beautiful? - World of Math Online. Free Math Help - Lessons, tutoring, message board and more. Algebra, Geometry, Trig, Calculus... whatever level you're studying!

Free Mathematics Tutorials, Problems and Worksheets (with applets) Visual Math Learning: A Free Online Tutorial for Teaching Math. Math is not linear by Alison Blank on Prezi. Inca mathematics. Version for printing It is often thought that mathematics can only develop after a civilisation has developed some form of writing.

Inca mathematics

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. The quipu was not a calculator, rather it was a storage device. The quipu consists of strings which were knotted to represent numbers. 586 on a quipu. Fibonacci number. A tiling with squares whose side lengths are successive Fibonacci numbers.

Fibonacci number