{"product_id":"computational-mathematical-modeling-an-integrated-approach-across-scales-paperback-softback-9781611972474","title":"Computational Mathematical Modeling – An Integrated Approach Across Scales (Paperback \/ softback) 9781611972474","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eComputational Mathematical Modeling – An Integrated Approach Across Scales\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA textbook that covers mathematical modeling at a range of scales from a computational viewpoint, suitable for advanced undergraduates.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eDaniela Calvetti (Author), Erkki Somersalo (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781611972474\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 30 December 2012\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e234 pages\u003cbr\u003e22.9 x 15.2 x 2 cm, 0.447 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eInteresting real-world mathematical modeling problems are complex and can usually be studied at different scales. The scale at which the investigation is carried out is one of the factors that determines the type of mathematics most appropriate to describe the problem. The book concentrates on two modeling paradigms: the macroscopic, in which phenomena are described in terms of time evolution via ordinary differential equations; and the microscopic, which requires knowledge of random events and probability. The exposition is based on this unorthodox combination of deterministic and probabilistic methodologies, and emphasizes the development of computational skills to construct predictive models. To elucidate the concepts, a wealth of examples, self-study problems, and portions of MATLAB code used by the authors are included. This book, which has been extensively tested by the authors for classroom use, is intended for students in mathematics and the physical sciences at the advanced undergraduate level and above.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Review of multivariate calculus and differential equations\u003cbr\u003e 2. Compartment models\u003cbr\u003e 3. From compartment models to continuous models\u003cbr\u003e 4. Dimensional analysis and scaling\u003cbr\u003e 5. Introduction to stochastic modeling\u003cbr\u003e 6. Modeling of noise\u003cbr\u003e 7. Modeling with waiting processes\u003cbr\u003e 8. Markov processes\u003cbr\u003e 9. Cellular automata, agent-based modeling\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Miscellaneous items [\u003ca title=\"See our other books on Miscellaneous items\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Miscellaneous%20items%20%5BWZ%5D%22\"\u003eWZ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"MP–SIA SIAM – Society for Industrial and Applied M","offers":[{"title":"Brand New","offer_id":52446331076888,"sku":"9781611972474","price":59.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781611972474i.jpg?v=1785111088","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/computational-mathematical-modeling-an-integrated-approach-across-scales-paperback-softback-9781611972474","provider":"Freshly Printed Books","version":"1.0","type":"link"}