{"product_id":"stochastic-control-and-mathematical-modeling-applications-in-economics-hardback-9780521195034","title":"Stochastic Control and Mathematical Modeling; Applications in Economics (Hardback) 9780521195034","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eStochastic Control and Mathematical Modeling\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eApplications in Economics\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eIntroduces stochastic control and mathematical modelling to researchers and graduate students in applied mathematics, mathematical economics, and non-linear PDE theory.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eHiroaki Morimoto (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521195034, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 29 January 2010\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e340 pages\u003cbr\u003e24.1 x 16.3 x 2.8 cm, 0.61 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"As the title indicates, the author’s presentation is clearly focussed on economics and provides neither exercises nor questions for further investigation. However, the chapters should allow the reader to identify future research areas. As such the text has much to commend it and the time taken to understand the material presented will reap benefits. For those interested in theoretical expositions, this is a text that I can recommend.\"  \u003cbr\u003eCarl M. O’Brien, International Statistical Review\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis is a concise and elementary introduction to stochastic control and mathematical modelling. This book is designed for researchers in stochastic control theory studying its application in mathematical economics and those in economics who are interested in mathematical theory in control. It is also a good guide for graduate students studying applied mathematics, mathematical economics, and non-linear PDE theory. Contents include the basics of analysis and probability, the theory of stochastic differential equations, variational problems, problems in optimal consumption and in optimal stopping, optimal pollution control, and solving the Hamilton-Jacobi-Bellman (HJB) equation with boundary conditions. Major mathematical prerequisites are contained in the preliminary chapters or in the appendix so that readers can proceed without referring to other materials.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Stochastic Calculus and Optimal Control Theory: 1. Foundations of stochastic calculus\u003cbr\u003e 2. Stochastic differential equations: weak formulation\u003cbr\u003e 3. Dynamic programming\u003cbr\u003e 4. Viscosity solutions of Hamilton-Jacobi-Bellman equations\u003cbr\u003e 5. Classical solutions of Hamilton-Jacobi-Bellman equations\u003cbr\u003e Part II. Applications to Mathematical Models in Economics: 6. Production planning and inventory\u003cbr\u003e 7. Optimal consumption\/investment models\u003cbr\u003e 8. Optimal exploitation of renewable resources\u003cbr\u003e 9. Optimal consumption models in economic growth\u003cbr\u003e 10. Optimal pollution control with long-run average criteria\u003cbr\u003e 11. Optimal stopping problems\u003cbr\u003e 12. Investment and exit decisions\u003cbr\u003e Part III. Appendices: A. Dini's theorem\u003cbr\u003e B. The Stone-Weierstrass theorem\u003cbr\u003e C. The Riesz representation theorem\u003cbr\u003e D. Rademacher's theorem\u003cbr\u003e E. Vitali's covering theorem\u003cbr\u003e F. The area formula\u003cbr\u003e G. The Brouwer fixed point theorem\u003cbr\u003e H. The Ascoli-Arzela theorem.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Stochastics [\u003ca title=\"See our other books on Stochastics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Stochastics%20%5BPBWL%5D%22\"\u003ePBWL\u003c\/a\u003e], Mathematical modelling [\u003ca title=\"See our other books on Mathematical modelling\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20modelling%20%5BPBWH%5D%22\"\u003ePBWH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46005568504088,"sku":"9780521195034","price":117.56,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521195034i_b3af84ff-b4bd-40ed-abcc-38c0bf6bb186.jpg?v=1691373760","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/stochastic-control-and-mathematical-modeling-applications-in-economics-hardback-9780521195034","provider":"Freshly Printed Books","version":"1.0","type":"link"}