{"product_id":"random-walk-and-the-heat-equation-9780821848296","title":"Random Walk and the Heat Equation","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIntroducing the heat equation and the closely related notion of harmonic functions from a probabilistic perspective, this book includes chapters on: the discrete case, random walk and the heat equation on the integer lattice; the continuous case, Brownian motion and the usual heat equation; and martingales and fractal dimension.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eThis beautiful little book is an introduction to some of the key ideas of probability written at an advanced undergraduate level. ... This book is very well-written, self-contained up to material from elementary calculus and basic linear algebra, and has plenty of interesting exercises. It is well suited for an advanced undergraduate course, a student seminar or as material for an undergraduate project.\" - \u003cem\u003eMathematical Reviews\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\"This is a very readable introductory course resource on topics...that have more than their fair share of unreadable textbooks...Its reader-friendly style makes it an ideal choice for a reading course or self-study. ...Given the paucity of quality books in this area, the work will be a critical resource for mathematics collections... Essential.\" - M. Bona, \u003cem\u003eChoice\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\u003eRandom walk and discrete heat equation\u003c\/li\u003e\n\u003cli\u003eBrownian motion and the heat equation\u003c\/li\u003e\n\u003cli\u003eMartingales\u003c\/li\u003e\n\u003cli\u003eFractal dimension\u003c\/li\u003e\n\u003cli\u003eSuggestions for further reading\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50577674535255,"sku":"9780821848296","price":47.7,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780821848296.jpg?v=1746096122","url":"https:\/\/bookcurl.com\/products\/random-walk-and-the-heat-equation-9780821848296","provider":"Book Curl","version":"1.0","type":"link"}