{"product_id":"mathematics-of-probability-9781470409074","title":"Mathematics of Probability","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e... I regard this book highly, and I recommend it for course use as well as for independent study.\" - \u003cem\u003eMAA Reviews\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\"This book is a very thorough advanced undergraduate\/beginning graduate course on probability theory for students who have a good background in modern mathematical ideas. ... [W]hat distinguishes this book from its many competitors is the thoroughness of argument, and the tasteful choice of auxiliary topics that complement the main menu. ... The book is replete with carefully chosen exercise for readers to test their understanding. Another nice touch is that the author always takes care to let the reader know who originally came up with a particularly clever argument or method. In this way, readers get a healthy exposure to ways of thinking originating from Doeblin, Doob, Dynkin, Huygens, Kac, Kolmogorov, Livy, Marcinkiewicz and Wiener, among many others. This is a very good book on which to base a graduate course or to use for self-study.\" - David Applebaum, University of Sheffield, South Yorkshire, UK\u003cbr\u003e\u003cbr\u003e\"\u003cem\u003eMathematics of Probability\u003c\/em\u003e is a very enjoyable book. It is definitely a book for graduate students, but it manages to begin exploring the subject without a lot of prerequisites. ... It manages to discuss rigorously, and in a mostly self-contained manner, advanced topics which are not found in undergraduate books. ... It is a good book for independent study. It does not overwhelm the reader with exercises (each section ends with several problems). The footnotes and the comments at the end of each chapter are to the point and help the reader keep focus. ... All in all, I regard this book highly and I recommend it for course use as well as for independent study.\" - Florin Catrina, \u003cem\u003eMAA Reviews\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003ePreface\u003c\/li\u003e\n\u003cli\u003eSome background and preliminaries\u003c\/li\u003e\n\u003cli\u003eProbability theory on uncountable sample spaces\u003c\/li\u003e\n\u003cli\u003eSome applications to probability theory\u003c\/li\u003e\n\u003cli\u003eThe central limit theorem and Gaussian distributions\u003c\/li\u003e\n\u003cli\u003eDiscrete parameter stochastic processes\u003c\/li\u003e\n\u003cli\u003eSome continuous-time processes\u003c\/li\u003e\n\u003cli\u003eMartingales\u003c\/li\u003e\n\u003cli\u003eNotation\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50041316082007,"sku":"9781470409074","price":108.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470409074.jpg?v=1740182182","url":"https:\/\/bookcurl.com\/products\/mathematics-of-probability-9781470409074","provider":"Book Curl","version":"1.0","type":"link"}