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A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 15) - Softcover
Book 25 of 44: Cambridge Texts in Applied Mathematics
Synopsis
This book presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The point of departure is mathematical but the exposition strives to maintain a balance among theoretical, algorithmic and applied aspects of the subject. In detail, topics covered include numerical solution of ordinary differential equations by multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; a variety of algorithms to solve large, sparse algebraic systems; and methods for parabolic and hyperbolic differential equations and techniques of their analysis. The book is accompanied by an appendix that presents brief back-up in a number of mathematical topics.
"synopsis" may belong to another edition of this title.
Book Description
This text presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The point of departure is mathematical but the exposition strives to maintain a balance among theoretical, algorithmic and applied aspects of the subject.
About the Author
Arieh Iserles is a Professor in Numerical Analysis of Differential Equations in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. He has been awarded the Onsager medal and served as a chair of the Society for Foundations of Computational Mathematics. He is also Managing Editor of Acta Numerica, Editor in Chief of Foundations of Computational Mathematics, and an editor of numerous other publications.
"About this title" may belong to another edition of this title.
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A First Course in the Numerical Analysis of Differential Equations
Published by
Cambridge University Press, 1996
ISBN 10: 0521556554
ISBN 13: 9780521556552
Used
Softcover
Seller: Better World Books, Mishawaka, IN, U.S.A.
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A First Course in the Numerical Analysis of Differential Equations
Published by
Cambridge University Press, 1996
ISBN 10: 0521556554
ISBN 13: 9780521556552
Used
Paperback
Seller: World of Books (was SecondSale), Montgomery, IL, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Good. Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The point of departure is mathematical but the exposition strives to maintain a balance between theoretical, algorithmic and applied aspects of the subject. In detail, topics covered include numerical solution of ordinary differential equations by multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; a variety of algorithms to solve large, sparse algebraic systems; methods for parabolic and hyperbolic differential equations and techniques of their analysis. The book is accompanied by an appendix that presents brief back-up in a number of mathematical topics. Dr Iserles concentrates on fundamentals: deriving methods from first principles, analysing them with a variety of mathematical techniques and occasionally discussing questions of implementation and applications. By doing so, he is able to lead the reader to theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations. Seller Inventory # CIN0521556554G
Stock Image
A First Course in the Numerical Analysis of Differential Equations
Published by
Cambridge University Press, 1996
ISBN 10: 0521556554
ISBN 13: 9780521556552
Used
Paperback
Seller: World of Books Inc, Montgomery, IL, U.S.A.
Seller rating 4 out of 5 stars
Paperback. Condition: Good. Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The point of departure is mathematical but the exposition strives to maintain a balance between theoretical, algorithmic and applied aspects of the subject. In detail, topics covered include numerical solution of ordinary differential equations by multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; a variety of algorithms to solve large, sparse algebraic systems; methods for parabolic and hyperbolic differential equations and techniques of their analysis. The book is accompanied by an appendix that presents brief back-up in a number of mathematical topics. Dr Iserles concentrates on fundamentals: deriving methods from first principles, analysing them with a variety of mathematical techniques and occasionally discussing questions of implementation and applications. By doing so, he is able to lead the reader to theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations. Seller Inventory # CIN0521556554G
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A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 15)
Published by
Cambridge University Press, 1996
ISBN 10: 0521556554
ISBN 13: 9780521556552
Used
Softcover
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A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 15)
Published by
Cambridge University Press, 1996
ISBN 10: 0521556554
ISBN 13: 9780521556552
Used
Softcover
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A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 15)
Published by
Cambridge University Press, 1996
ISBN 10: 0521556554
ISBN 13: 9780521556552
Used
Paperback
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A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 15)
Published by
Cambridge University Press, 1996
ISBN 10: 0521556554
ISBN 13: 9780521556552
Used
Paperback
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A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 15)
Published by
Cambridge University Press, 1996
ISBN 10: 0521556554
ISBN 13: 9780521556552
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First Course in Numerical Analysis (Cambridge Texts in Applied Mathematics, Series Number 15)
Published by
Cambridge University Press, 1997
ISBN 10: 0521556554
ISBN 13: 9780521556552
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A First Course in the Numerical Analysis of Differential Equations
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ISBN 10: 0521556554
ISBN 13: 9780521556552
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Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,750grams, ISBN:9780521556552. Seller Inventory # 9973661
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