{"product_id":"9781493938360","title":"Modeling and Simulation in Science, Engineering and Technology: Theory, Models, and Applications to Finance, Biology, and Medicine","description":"\u003ch1\u003eModeling and Simulation in Science, Engineering and Technology: Theory, Models, and Applications to Finance, Biology, and Medicine\u003c\/h1\u003e \u003ch2\u003eCapasso, Vincenzo; Bakstein, David\u003c\/h2\u003e \u003cp\u003eThis textbook, now in its third edition, offers a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Key topics include: Markov processes Stochastic differential equations Arbitrage-free markets and financial derivatives Insurance risk Population dynamics, and epidemics Agent-based models New to the Third Edition: Infinitely divisible distributions Random measures Levy processes Fractional Brownian motion Ergodic theory Karhunen-Loeve expansion Additional applications Additional  exercises Smoluchowski  approximation of  Langevin systems An Introduction to Continuous-Time Stochastic Processes, Third Edition will be ofinterest to a broad audience of students, pure and applied mathematicians, and researchers and practitioners in mathematical finance, biomathematics, biotechnology, and engineering. Suitable as a textbook for graduate or undergraduate courses, as well as European Masters courses (according to the two-year-long second cycle of the “Bologna Scheme”), the work may also be used for self-study or as a reference. Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided. From reviews of previous editions: \"The book is ... an account of fundamental concepts as they appear in relevant modern applications and literature. ... The book addresses three main groups: first, mathematicians working in a different field; second, other scientists and professionals from a business or academic background; third, graduate or advanced undergraduate students of a quantitative subject related to stochastic theory and\/or applications.\" -Zentralblatt MATH\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2016-10-09\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781493938360\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4939-2757-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 482\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":45382390251660,"sku":"9781493938360","price":62.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781493938360.jpg?v=1772824704","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781493938360","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}