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Measure, integral and probability /

Measure, Integral and Probability is a gentle introduction that makes measure and integration theory accessible to the average third-year undergraduate student. The ideas are developed at an easy pace in a form that is suitable for self-study, with an emphasis on clear explanations and concrete exam...

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Detalles Bibliográficos
Clasificación:QA312 C3.67 2004
Autor principal: Capiânski, Marek, 1951- (autor)
Otros Autores: Kopp, P. E., 1944- (autor)
Formato: Libro
Idioma:Inglés
Publicado: London ; New York : Springer, [2004].
Edición:Second edition.
Colección:Springer undergraduate mathematics series ;
Temas:

MARC

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245 1 0 |a Measure, integral and probability /  |c Marek Capiânski and Ekkehard Kopp. 
250 |a Second edition. 
264 1 |a London ;  |a New York :  |b Springer,  |c [2004]. 
264 4 |a ©2004. 
300 |a xv, 311 páginas ;  |c 23 cm. 
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490 1 |a Springer undergraduate mathematics series  |x 1615-2085 
504 |a Referencias bibliográficas: (página 305) e índice. 
505 0 0 |g 1.  |t Motivation and preliminaries. --  |g 2.  |t Measure. --  |g 3.  |t Measurable functions. --  |g 4.  |t Integral. --  |g 5.  |t Spaces of integrable functions. --  |g 6.  |t Product measures. --  |g 7.  |t Radon-Nikodym theorem. --  |g 8.  |t Limit theorems. 
520 1 |a Measure, Integral and Probability is a gentle introduction that makes measure and integration theory accessible to the average third-year undergraduate student. The ideas are developed at an easy pace in a form that is suitable for self-study, with an emphasis on clear explanations and concrete examples rather than abstract theory. For this second edition, the text has been thoroughly revised and expanded. New features include: - a substantial new chapter, featuring a constructive proof of the Radon-Nikodym theorem, an analysis of the structure of Lebesgue-Stieltjes measures, the Hahn-Jordan decomposition, and a brief introduction to martingales - key aspects of financial modeling, discussed briefly from a measure-theoretical perspective to help the reader understand the underlying mathematical framework. 
538 |a Comunidad/CBI/Presupuesto Biblioteca 156.01.01.92/ICL20070100/IBI20070122/COBI. Fac-15042/[w249019/$666.31/w249020/$666.31] 
650 0 |a Measure theory 
650 4 |a Teoría de la medida 
650 0 |a Integrals, Generalized 
650 4 |a Integrales generalizadas 
650 0 |a Probabilities 
650 4 |a Probabilidades 
700 1 |a Kopp, P. E.,  |d 1944-,  |e autor 
830 0 |a Springer undergraduate mathematics series ;  |x 1615-2085 
905 |a LIBROS 
938 |a Comunidad  |c CBI  |d Presupuesto Biblioteca 156.01.01.92  |e ICL20070100  |f IBI20070122 
949 |a Biblioteca UAM Iztapalapa  |b Colección General  |c QA312 C3.67 2004