{"title":"J L Doob","description":null,"products":[{"product_id":"measure-theory-book-jl-doob-9780387940557","title":"Measure Theory","description":"This book was planned originally not as a work to be published, but as an excuse to buy a computer, incidentally to give me a chance to organize my own ideas ~n what measure theory every would-be analyst should learn, and to detail my approach to the subject. When it turned out that Springer-Verlag thought that the point of view in the book had general interest and offered to publish it, I was forced to try to write more clearly and search for errors. The search was productive. Readers will observe the stress on the following points. The application of pseudometric spaces. Pseudo metric, rather than metric spaces, are applied to obviate the artificial replacement of functions by equivalence classes, a replacement that makes the use of \"almost everywhere\" either improper or artificial. The words \"function\" and \"the set on which a function has values at least E\" can be taken literally in this book. Pseudometric space properties are applied in many contexts. For example, outer measures are used to pseudometrize classes of sets and the extension of a finite measure from an algebra to a 0\" algebra is thereby reduced to finding the closure of a subset of a pseudo metric space.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":49905849172241,"sku":"CIN0387940553G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51001984057617,"sku":"NIN9780387940557","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51341920108817,"sku":"CIN0387940553VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52123781529873,"sku":"NLS9780387940557","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0387940553_725d28cb-0117-4b68-bf2a-3f136342034f.jpg?v=1751229007"},{"product_id":"stochastic-processes-book-j-l-doob-9780471523697","title":"Stochastic Processes","description":"The theory of stochastic processes has developed so much in the last twenty years that the need for a systematic account of the subject has been felt, particularly by students and instructors of probability. This book fills that need. While even elementary definitions and theorems are stated in detail, this is not recommended as a first text in probability and there has been no compromise with the mathematics of probability. Since readers complained that omission of certain mathematical detail increased the obscurity of the subject, the text contains various mathematical points that might otherwise seem extraneous. A supplement includes a treatment of the various aspects of measure theory. A chapter on the specialized problem of prediction theory has also been included and references to the literature and historical remarks have been collected in the Appendix.","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51002737590545,"sku":"NIN9780471523697","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":51399814054161,"sku":"GOR011844547","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52130922594577,"sku":"NLS9780471523697","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":52852703920401,"sku":"CIN0471523690G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0471523690.jpg?v=1751229481"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-j-l-doob.oembed","provider":"World of Books ","version":"1.0","type":"link"}