Gian Carlo Rota on Analysis and Probability

Written By Jean Dhombres
Gian Carlo Rota on Analysis and Probability
  • Publsiher : Springer Science & Business Media
  • Release : 06 December 2002
  • ISBN : 9780817642754
  • Pages : 382 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Gian Carlo Rota on Analysis and Probability written by Jean Dhombres which was release on 06 December 2002, this book published by Springer Science & Business Media. Available in PDF, EPUB and Kindle Format. Book excerpt: Gian-Carlo Rota was born in Vigevano, Italy, in 1932. He died in Cambridge, Mas sachusetts, in 1999. He had several careers, most notably as a mathematician, but also as a philosopher and a consultant to the United States government. His mathe matical career was equally varied. His early mathematical studies were at Princeton (1950 to 1953) and Yale (1953 to 1956). In 1956, he completed his doctoral thesis under the direction of Jacob T. Schwartz. This thesis was published as the pa per "Extension theory of differential operators I", the first paper reprinted in this volume. Rota's early work was in analysis, more specifically, in operator theory, differ ential equations, ergodic theory, and probability theory. In the 1960's, Rota was motivated by problems in fluctuation theory to study some operator identities of Glen Baxter (see [7]). Together with other problems in probability theory, this led Rota to study combinatorics. His series of papers, "On the foundations of combi natorial theory", led to a fundamental re-evaluation of the subject. Later, in the 1990's, Rota returned to some of the problems in analysis and probability theory which motivated his work in combinatorics. This was his intention all along, and his early death robbed mathematics of his unique perspective on linkages between the discrete and the continuous. Glimpses of his new research programs can be found in [2,3,6,9,10].

Gian Carlo Rota on Analysis and Probability

Gian Carlo Rota on Analysis and Probability
  • Author : Jean Dhombres
  • Publisher : Springer Science & Business Media
  • Release Date : 2002-12-06
  • Total pages : 382
  • ISBN : 9780817642754
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Summary : Gian-Carlo Rota was born in Vigevano, Italy, in 1932. He died in Cambridge, Mas sachusetts, in 1999. He had several careers, most notably as a mathematician, but also as a philosopher and a consultant to the United States government. His mathe matical career was equally varied. His early mathematical studies were at ...

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  • Publisher : PHI Learning Pvt. Ltd.
  • Release Date : 2021-06-14
  • Total pages : 592
  • ISBN : 9780817642754
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Summary : Data Analysis Using Statistics and Probability with R Language is a complete introduction to data analysis. It provides a sound understanding of the foundations of the data analysis, in addition to covering many important advanced topics. Moreover, all the techniques have been implemented using R language as well as Excel. ...

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  • Publisher : Cambridge University Press
  • Release Date : 2017-10-31
  • Total pages : 478
  • ISBN : 9780817642754
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Summary : This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students ...

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  • Publisher : Springer
  • Release Date : 1983-07-01
  • Total pages : 180
  • ISBN : 9780817642754
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Summary : Download or read online Banach Spaces Harmonic Analysis and Probability Theory written by R. C. Blei,S. J. Sidney, published by Springer which was released on 1983-07-01. Get Banach Spaces Harmonic Analysis and Probability Theory Books now! Available in PDF, ePub and Kindle....

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  • Publisher : Elsevier
  • Release Date : 2013-01-29
  • Total pages : 460
  • ISBN : 9780817642754
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  • Author : Richard M. Dudley
  • Publisher : Unknown
  • Release Date : 2018
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  • Publisher : Courier Corporation
  • Release Date : 2005-08-27
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  • ISBN : 9780817642754
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Summary : Nineteenth-century studies of harmonic analysis were closely linked with the work of Joseph Fourier on the theory of heat and with that of P. S. Laplace on probability. During the 1920s, the Fourier transform developed into one of the most effective tools of modern probabilistic research; conversely, the demands of ...

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  • Author : Daniel Li,Hervé Queffélec
  • Publisher : Cambridge University Press
  • Release Date : 2017-11-02
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  • ISBN : 9780817642754
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Summary : This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students ...

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  • Publisher : Springer Science & Business Media
  • Release Date : 2007-10-17
  • Total pages : 280
  • ISBN : 9780817642754
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Summary : Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing) Interdisciplinary focus with hands-on approach, generous motivation and new pedagogical techniques Numerous exercises reinforce fundamental concepts and hone computational skills Separate sections explain engineering terms to mathematicians and operator theory to engineers Fills a gap ...

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  • Author : Linda Jensen Sheffield
  • Publisher : National Council of Teachers of English
  • Release Date : 2002
  • Total pages : 100
  • ISBN : 9780817642754
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Summary : Discusses the early development of data and probability concepts and shows teachers how to introduce some foundational ideas to young students....

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  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2005-01
  • Total pages : 212
  • ISBN : 9780817642754
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Summary : Download or read online Data Analysis and Probability written by , published by which was released on 2005-01. Get Data Analysis and Probability Books now! Available in PDF, ePub and Kindle....

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  • Publisher : Carson-Dellosa Publishing
  • Release Date : 2015-02-15
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  • ISBN : 9780817642754
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Summary : With the help of Spectrum Data Analysis and Probability for grades 6 to 8, children develop problem-solving math skills they can build on. This standards-based workbook focuses on middle school concepts like operations, ratios, probability, graph interpretation, and more. Middle school is known for its challenges—let Spectrum ease some stress. Developed ...

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  • Publisher : Springer Verlag
  • Release Date : 1986-10
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  • ISBN : 9780817642754
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Summary : Since 1970 several volumes of the Landolt-Börnstein New Series have appeared which are devoted to, or at least include, the magnetic properties of some special groups of substances. Volume 19 of Group III (Crystal and Solid State Physics) deals with the magnetic properties of metals, alloys and metallic compounds containing at ...

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  • Publisher : Springer Science & Business Media
  • Release Date : 1994-12-16
  • Total pages : 392
  • ISBN : 9780817642754
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Summary : In recent years, there has been an upsurge of interest in using techniques drawn from probability to tackle problems in analysis. These applications arise in subjects such as potential theory, harmonic analysis, singular integrals, and the study of analytic functions. This book presents a modern survey of these methods at ...

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  • Publisher : Springer Science & Business Media
  • Release Date : 1995-06-13
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  • ISBN : 9780817642754
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Summary : An introduction to analysis with the right mix of abstract theories and concrete problems. Starting with general measure theory, the book goes on to treat Borel and Radon measures and introduces the reader to Fourier analysis in Euclidean spaces with a treatment of Sobolev spaces, distributions, and the corresponding Fourier ...