The golden age of Mathematical Engineering is upon us. The Norbert Wiener Center, in the Department of Mathematics at the University of Maryland, College Park, reflects the importance of integrating new mathematical technology and algorithms in the context of current industrial and academic needs and problems.
He attained international renown by formulating some of the most important contributions to mathematics in the 20th century.
Wiener, a child prodigy whose education was controlled by his father, a professor of Slavonic languages and literature at Harvard Universitygraduated in mathematics from Tufts College now Tufts UniversityMedford, Massachusetts in at the age of He spent a year at Harvard as a graduate student in zoology but left after he found that he was inept at laboratory work.
On the advice of Russell, he also began a serious study of general mathematics, in which he was strongly influenced by Russell, by the English pure mathematician Godfrey Hardyand to a lesser extent by Hilbert.
He published his first paper in the mathematical journal Messenger of Mathematics in at Cambridge. When World War I broke out, he tried to enlist but was rejected because of poor eyesight.
For five years he tried a variety of occupations. He was a teacher at the University of Mainea writer for an encyclopaedia, an apprentice engineer, a journalist of sorts, and a mathematician at the Aberdeen Maryland Proving Grounds. Finally, inhe was hired as an instructor by the mathematics department at the Massachusetts Institute of Technology MITa department with no real tradition of scholarship or research at that time.
It turned out, however, to have been the right move for Wiener, for he had entered upon an extremely productive period, just as MIT itself was beginning to develop into a great centre of learning in science and technology.
Wiener remained on the MIT faculty until his retirement. During the s Wiener did highly innovative and fundamental work on what are now called stochastic processes and, in particular, on the theory of Brownian motion and on generalized harmonic analysisas well as significant work on other problems of mathematical analysis.
In Wiener was elected to the National Academy of Sciences but soon resigned, repelled by some of the aspects of institutionalized science that he encountered there. The ideas that evolved led to Extrapolation, Interpolation, and Smoothing of Stationary Time Serieswhich first appeared as a classified report and established Wiener as a codiscoverer, with the Russian mathematician Andrey Kolmogorovof the theory on the prediction of stationary time series.
It introduced certain statistical methods into control and communications engineering and exerted great influence in these areas. This work also led him to formulate the concept of cybernetics. In his book Cybernetics; or, Control and Communication in the Animal and the Machine was published.
For a scientific book it was extremely popular, and Wiener became known in a much broader scientific community.
Cybernetics is interdisciplinary in nature; based on common relationships between humans and machines, it is used today in control theoryautomation theoryand computer programs to reduce many time-consuming computations and decision-making processes formerly done by human beings.
Wiener worked at cybernetics, philosophized about it, and propagandized for it the rest of his life, all the while keeping up his research in other areas of mathematics. After the war Wiener continued to contribute new ideas to widely divergent subjects, including mathematical prediction theory and quantum theoryproviding the latter a possible solution to a difficulty that had been debated by the physicists Niels Bohr and Albert Einstein.
Applying his theoretical description of Brownian motion to quantum phenomena, he showed how quantum theory, to the extent that it is based on probability, is consistent with other branches of science. In Wiener was awarded the National Medal of Science; he was presented with the medal a few weeks before his death the following year.Wiener has a decent Google pagerank and bad results in terms of Yandex topical citation index.
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Jun 16, · Norbert Wiener () was an American-Jewish mathematician who became famous for being the founding father of management cybernetics.
Norbert Wiener was also an expert in Stochastic processes (probability calculus models) and he made important scientific contributions in the field of electronic engineering, telecommunications and Ratings: 2.
2 Introduction The aim of this book is to give a rigorous introduction for the graduate students to Analysis on Wiener space, a subject which has grown up very. The Norbert Wiener Center for Harmonic Analysis and Applications (NWC) in the Department of Mathematics at the University of Maryland, College Park is devoted to the scientific and mathematical legacy of Norbert Wiener.
Wiener entropy is a measure of the width and uniformity of the power spectrum. Noise is typically broadband with sound energy smeared rather smoothly within the noise range, whereas animal sounds, even when multi-harmonic, are less uniform in their frequency structure.
As the Wiener filter is a function of the analysis bank filters and the desired signal filter G(z), its ROC is constrained by the ROCs of these filters apart from its own poles location. Thus the ROC of .