ISBN: 9780387946443

Integration theory holds a prime position, whether in pure mathematics or in various fields of applied mathematics. It plays a central role in analysis; it is the basis of probability the… More...

Integration theory holds a prime position, whether in pure mathematics or in various fields of applied mathematics. It plays a central role in analysis; it is the basis of probability theory and provides an indispensable tool in mathe­ matical physics, in particular in quantum mechanics and statistical mechanics. Therefore, many textbooks devoted to integration theory are already avail­ able. The present book by Michel Simonnet differs from the previous texts in many respects, and, for that reason, it is to be particularly recommended. When dealing with integration theory, some authors choose, as a starting point, the notion of a measure on a family of subsets of a set; this approach is especially well suited to applications in probability theory. Other authors prefer to start with the notion of Radon measure (a continuous linear func­ tional on the space of continuous functions with compact support on a locally compact space) because it plays an important role in analysis and prepares for the study of distribution theory. Starting off with the notion of Daniell measure, Mr. Simonnet provides a unified treatment of these two approaches. | Measures and Probabilities by Michel Simonnet Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics > Probability & Statistics P10117, Michel Simonnet<

ISBN: 9780387946443

Integration theory holds a prime position, whether in pure mathematics or in various fields of applied mathematics. It plays a central role in analysis; it is the basis of probability the… More...

Integration theory holds a prime position, whether in pure mathematics or in various fields of applied mathematics. It plays a central role in analysis; it is the basis of probability theory and provides an indispensable tool in mathe­ matical physics, in particular in quantum mechanics and statistical mechanics. Therefore, many textbooks devoted to integration theory are already avail­ able. The present book by Michel Simonnet differs from the previous texts in many respects, and, for that reason, it is to be particularly recommended. When dealing with integration theory, some authors choose, as a starting point, the notion of a measure on a family of subsets of a set; this approach is especially well suited to applications in probability theory. Other authors prefer to start with the notion of Radon measure (a continuous linear func­ tional on the space of continuous functions with compact support on a locally compact space) because it plays an important role in analysis and prepares for the study of distribution theory. Starting off with the notion of Daniell measure, Mr. Simonnet provides a unified treatment of these two approaches. Books > Science & Nature > Math & Physics > Mathematics > Probability & Statistics List_Books, [PU: Springer]<

1996, ISBN: 0387946446

[EAN: 9780387946443], Neubuch, [PU: Springer New York Jun 1996], MASSTHEORIE; WAHRSCHEINLICHKEIT - WAHRSCHEINLICHKEITSTHEORIE; CONDITIONALPROBABILITY; COVARIANCEMATRIX; ERGODICTHEORY; LAW… More...

[EAN: 9780387946443], Neubuch, [PU: Springer New York Jun 1996], MASSTHEORIE; WAHRSCHEINLICHKEIT - WAHRSCHEINLICHKEITSTHEORIE; CONDITIONALPROBABILITY; COVARIANCEMATRIX; ERGODICTHEORY; LAWOFLARGENUMBERS; RANDOMVARIABLE; CONVERGENCEOFRANDOMVARIABLES; MEASURETHEORY; STATISTICS; VARIANCE; MEDIAN, This item is printed on demand - it takes 3-4 days longer - Neuware -This book is intended to be an introductory, yet sophisticated, treatment of measure theory. It should provide an in-depth reference for the practicing mathematician. It is hoped that advanced students as well as instructors will find it useful. The first part of the book should prove useful to both analysts and probabilists. One may treat the second and third parts as an introduction to the theory of probability, or use the fourth part as an introduction to analysis.The treatment is for the most part self-contained. Other than familiarity with general topology, some functional analysis and a certain degree of mathematical sophistication, little is required for profitable reading of this text. At the end of each chapter, exercises are provided which are designed to present some additional material and examples. 528 pp. Englisch, Books<

1996, ISBN: 0387946446

Softcover reprint of the original 1st ed. 1996 Kartoniert / Broschiert Maßtheorie, Wahrscheinlichkeit - Wahrscheinlichkeitstheorie, Wahrscheinlichkeitsrechnung und Statistik, Conditiona… More...

Softcover reprint of the original 1st ed. 1996 Kartoniert / Broschiert Maßtheorie, Wahrscheinlichkeit - Wahrscheinlichkeitstheorie, Wahrscheinlichkeitsrechnung und Statistik, Conditionalprobability; Covariancematrix; ergodictheory; Lawoflargenumbers; Median; Randomvariable; Variance; convergenceofrandomvariables; measuretheory; Statistics, mit Schutzumschlag 11, [PU:Springer New York; Springer US, New York, N.Y.]<

1996, ISBN: 9780387946443

Buch, Softcover, Softcover reprint of the original 1st ed. 1996, [PU: Springer-Verlag New York Inc.], Springer-Verlag New York Inc., 1996