{"product_id":"9780857291479","title":"Springer Undergraduate Mathematics Series: Initial Value Problems","description":"\u003ch1\u003eSpringer Undergraduate Mathematics Series: Initial Value Problems\u003c\/h1\u003e \u003ch2\u003eGriffiths, David F.; Higham, Desmond J.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eNumerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject.\u003c\/p\u003e\n\n\u003cp\u003eIt covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples.\u003c\/p\u003e\n\n\u003cp\u003eOver 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors.\u003c\/p\u003e\n\n\u003cp\u003eThe book covers key foundation topics:\u003c\/p\u003e\n\n  \u003cp\u003eo Taylor series methods\u003c\/p\u003e\n  \u003cp\u003eo Runge--Kutta methods\u003c\/p\u003e\n  \u003cp\u003eo Linear multistep methods\u003c\/p\u003e\n  \u003cp\u003eo Convergence\u003c\/p\u003e\n  \u003cp\u003eo Stability\u003c\/p\u003e\n\n\u003cp\u003eand a range of modern themes:\u003c\/p\u003e\n\n\u003cp\u003eo Adaptive stepsize selection\u003c\/p\u003e\n  \u003cp\u003eo Long term dynamics\u003c\/p\u003e\n  \u003cp\u003eo Modified equations\u003c\/p\u003e\n  \u003cp\u003eo Geometric integration\u003c\/p\u003e\n  \u003cp\u003eo Stochastic differential equations\u003c\/p\u003e\n\n\u003cp\u003eThe prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2010-11-25\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9780857291479\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-0-85729-148-6\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 271\u003c\/p\u003e ","brand":"Springer London","offers":[{"title":"Default Title","offer_id":46540988481676,"sku":"9780857291479","price":34.19,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780857291479.jpg?v=1775730870","url":"https:\/\/lateknightbooks.com\/products\/9780857291479","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}