Final+paper


 * Mathematics and Psychology**

1. Introduction 1.1 Application of math in different aspects of life. Mathematics was made to understand the world. Math is applicable to all aspects of live. 1.1.1 Examples. For example math are in arts like music, plastic; in specific and experimental sciences, physics, chemistry; urban maters as architecture, urbanism; metric, etc. 1.1.2 Exposition of the theme that I chose. Searching between the social sciences, we could ask if Psychology can involve Mathematics. 2. Development. 2.1 Explication of my theme. 2.1.1 Definition. Psychology is the science that studies the behavior of the human mind, brain. 2.2 Application of math in this theme. 2.2.1 Why we can apply math in this theme. We can apply math to psychology using statistic, algebra, calculus (differential equations) how the following texts explain. 2.2.2 How math can be applied to this theme. In 1840, the American psychologist, Gustav Fechner was the first person that thought that specific sciences could be applicable to psychology. He made a logarithmical rule that relates the intensity of the stimulation and the sensorial answers called //Law of Fechner-Weber// which was proposed by Ernst Weber, a German doctor. Gustav Theodor Fechner, image taken from []

the law is:

“Where dp is the differential change in perception, dS is the differential increase in the stimulus and S is the stimulus at the instant. A constant factor k is to be determined experimentally.” This has been taken from Wikipedia[1].

graphic taken from []

In1880´s, the British anthropologist, Sir Francis Galton, father of the eugenics (“**Eugenics** is the study and practice of [|selective breeding] applied to humans” [2]) and cousin of Darwin, worked with: · The American psychologist, James Mc Keen a form to evaluate the generation of the human features. · With the mathematic, Karl Pearson in statistical analysis to measure the correlation coefficient which is about congenital qualities. He also create a metric form to measure the intelligence, based on the strong of the hand, the form of the heat, and the reflex action, called //Biometrical Method//.

Sir Francis Galton, image taken from []

In the twentieth century, the British psychologist, Charles Spearman used factorial analysis to create mathematical models of social psychology and the Bi-factorial Theory which is about two factors of personality: genetic factor (inherited, innate) and specific factor (empirical, by environment).

Charles Spearman, image taken from [] At present statistic is used to study the: · Performance · Opinion · Intelligence · Psychometric

An article published in February in the magazine “Muy Interesante” say [5] that Piers Steel, a psychologist of the Calgary University of Canada, develop an algebraic equation that relate the factors which inside in the procrastination (procrastinate is to postpone something to do other funnier than the last one) : These factors are: X: some action. E: success that we obtain when we do X. V: value (profitability and how funny X is) I: tendency to postpone X. R: delay in time to do X. U: How much we want does it. Which are related by: U= (E*V)/ (I+R) Them the desire to do something increase if we are successful doing it and it is very funny or profitable, and decrease if we postpone it very much and we are delayed in the time to do it. Piers Steel image taken from [|http][|://][|haskayne.ucalgary.ca/profiles/piers-steel]
 * For example:**

An article published in the page[3] of ‘University of California in Los Angeles’ UCLA says that Jeffrey Brantingham, an associate professor of anthropology at UCLA; Andrea Bertozzi, a professor of mathematics and director of applied mathematics at UCLA; Martin Short, a UCLA assistant adjunct professor of mathematics; and George Tita, an associate professor of criminology, law and society at UC Irvine; has created a model which predict the hotspots of crime and say whether these can be suffocated by the increasing of police. The investigation was realized using ten years of criminal data from Los Angeles and Tibet, and bifurcation theory, the mathematical study of the changes in the qualitative structures of a family (differential equations in this case) which happen with a little change in the parameter values. It is possible if we express the regularities of the human behavior or criminal behavior in a mathematical language.

Andrea Bertozzi, Martin Short, Jeffrey Brantingham, image taken from []

Others as: · A mathematical model analyzes patterns of human behavior in the mail. Article from [] · A mathematical model called 2th law of thermodynamics and the sentimental relations by the psychologists. Article from [] You can hear an interview in the web page [] 1.1.1 Which are befits that we get of applying of math in this theme. When we apply math to psychology, we can obtain more exact results in the psychological study and researches. It make possible to understand the nervous system, the psychological heredity, the factors that influence our performance, opinions and intelligence how say in 2.2.2. The new studies of behavior also could become possible to foresee and avoid the criminal acts. Now, we can consciously influence the flow of communication, use it in the publicity, for example. 2. Conclusion. Since remote times Mathematics is applicable to different ambits of psychology, not only psychometric. We obtain very much big benefices from application of mathematic to psychology. Mathematic is more than paper in offices and schools. Mathematics is present in the least thought things, and helps us more that the people imagines. “I am going to become sentimental”. Bibliography:
 * []
 * **Franquet i Bernis, J.M.:** (2008) //El estudio operativo de la psicología//, Edición electrónica gratuita. Texto completo en [|www.eumed.net/libros/2008b/405/]
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