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A Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals /

One of the difficulties with integration theory is that there are so many different detailed definitions that the non-expert is confused about their relative strengths and usefulness. A surprising recent development in the theory of integration has been the discovery that suitable modifications to t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: McShane, E. J. (Edward James), 1904-1989
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 1969.
Colección:Memoirs of the American Mathematical Society ; no. 88.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a McShane, E. J.  |q (Edward James),  |d 1904-1989. 
245 1 2 |a A Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals /  |c by E.J. McShane. 
260 |a Providence, R.I. :  |b American Mathematical Society,  |c 1969. 
300 |a 1 online resource (54 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Memoirs of the American Mathematical Society ;  |v no. 88 
504 |a Includes bibliographical references (pages 53-54). 
505 0 |a Introduction -- Preliminaries concerning semi-groups and limits -- Notation and definitions -- Elementary properties -- Henstock's lemma -- Absolute integrability -- The monotone convergence theorem -- The dominated convergence theorem -- A more traditional type of integral -- Convergence theorems -- Measure -- Examples : integrals of Stieltjes type -- Examples -- The Bochner, Pettis and Bogdanowicz integrals -- Stochastic integrals. 
520 |a One of the difficulties with integration theory is that there are so many different detailed definitions that the non-expert is confused about their relative strengths and usefulness. A surprising recent development in the theory of integration has been the discovery that suitable modifications to the Riemann definition using approximating sums can produce a wide variety of different integrals including integrals of great power. 
588 0 |a Print version record. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Integrals. 
650 0 |a Lebesgue integral. 
650 0 |a Integrals, Bochner. 
650 0 |a Integrals, Generalized. 
650 0 |a Pettis integral. 
650 0 |a Stochastic integrals. 
650 6 |a Intégrales. 
650 6 |a Intégrale de Lebesgue. 
650 6 |a Intégrales de Bochner. 
650 6 |a Intégrales généralisées. 
650 6 |a Intégrale de Pettis. 
650 6 |a Intégrales stochastiques. 
650 7 |a Stochastic integrals  |2 fast 
650 7 |a Pettis integral  |2 fast 
650 7 |a Lebesgue integral  |2 fast 
650 7 |a Integrals, Generalized  |2 fast 
650 7 |a Integrals, Bochner  |2 fast 
650 7 |a Integrals  |2 fast 
650 7 |a Bochner-Integral  |2 gnd 
650 7 |a Lebesgue-Stieltjes-Integral  |2 gnd 
650 7 |a Riemannsches Integral  |2 gnd 
650 7 |a Stochastisches Integral  |2 gnd 
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776 0 8 |i Print version:  |a McShane, E.J. (Edward James), 1904-  |t Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals.  |d Providence, R.I. : American Mathematical Society, 1969  |w (OCoLC)1318885 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 88. 
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