Differential equations, mechanics, and computation
Material type:
TextLanguage: English Series: Student mathematical library, IAS/Park City mathematical subseries ; volume 51.Publication details: Rhode Island : American Mathematical Society, 2009 Description: xiii, 313 p. : ill. ; 22 cmISBN: 9780821887356Subject(s): Evolution equations | Differential equations, Linear -- Numerical solutions | Differential equations -- Numerical solutions | MechanicsDDC classification: 517.9:531 Online resources: Table of Contents | Reviews Summary: This book provides a conceptual introduction to the theory of ordinary differential equations, concentrating on the initial value problem for equations of evolution and with applications to the calculus of variations and classical mechanics, along with a discussion of chaos theory and ecological models. It has a unified and visual introduction to the theory of numerical methods and a novel approach to the analysis of errors and stability of various numerical solution algorithms based on carefully chosen model problems. While the book would be suitable as a textbook for an undergraduate or elementary graduate course in ordinary differential equations, the authors have designed the text also to be useful for motivated students wishing to learn the material on their own or desiring to supplement an ODE textbook being used in a course they are taking with a text offering a more conceptual approach to the subject.
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NBHM Books
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NBHM Books
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Includes bibliographical references and index.
This book provides a conceptual introduction to the theory of ordinary differential equations, concentrating on the initial value problem for equations of evolution and with applications to the calculus of variations and classical mechanics, along with a discussion of chaos theory and ecological models. It has a unified and visual introduction to the theory of numerical methods and a novel approach to the analysis of errors and stability of various numerical solution algorithms based on carefully chosen model problems. While the book would be suitable as a textbook for an undergraduate or elementary graduate course in ordinary differential equations, the authors have designed the text also to be useful for motivated students wishing to learn the material on their own or desiring to supplement an ODE textbook being used in a course they are taking with a text offering a more conceptual approach to the subject.
Undergraduate and graduate students interested in ordinary differential equations and numerical methods.
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