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eBook A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics) ePub

eBook A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics) ePub

by Arieh Iserles

  • ISBN: 0521553768
  • Category: Mathematics
  • Subcategory: Math Science
  • Author: Arieh Iserles
  • Language: English
  • Publisher: Cambridge University Press (January 26, 1996)
  • Pages: 396
  • ePub book: 1801 kb
  • Fb2 book: 1188 kb
  • Other: lrf mobi doc azw
  • Rating: 4.3
  • Votes: 243

Description

Numerical Methods for Ordinary Differential Equations .

Numerical Methods for Ordinary Differential Equations. As a mathematician who developed an interest in numerical analysis in the middle of his professional career, I thoroughly enjoyed reading this text. The author's style is comfortable. This book would be my choice for a text to 'modernize' such courses and bring them closer to the current practice of applied mathematics. Source: American Journal of Physics.

This book would be my choice for a text to 'modernize' such courses and bring them closer to the current practice of applied mathematics. John Guckenheimer, American Journal of Physics this book succeeds. It provides an excellent introduction to the numerical analysis of differential equations and would serve perfectly as a textbook for a fourth-year undergraduate course in the mathematics curriculum.

Series: Cambridge texts in applied mathematics.

The point of departure is mathematical but the exposition strives to maintain a balance among theoretical, algorithmic and applied aspects of the subject. The book is accompanied by an appendix that presents brief back-up in a number of mathematical topics. Categories: Mathematics. Publisher: Cambridge University Press. Pages: 393. ISBN 10: 0521556554. ISBN 13: 9780521556552. Series: Cambridge texts in applied mathematics.

Start by marking A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics, 44) as Want to Read: Want to Read savin. ant to Read. The exposition maintains a balance between theoretical, algorithmic and applied aspects.

Numerical analysis presents different faces to the world Dr Iserles concentrates on fundamentals: deriving methods from first principles, analysing them with a variety of mathematical techniques an. .

Numerical analysis presents different faces to the world. 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. 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.

Release Date:January 1996. Publisher:Cambridge University Press.

book by Arieh Iserles. Release Date:January 1996.

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

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.

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.

Comments

Usishele Usishele
Engaging and informative textbook for an upper-level undergraduate / graduate level course on numerical ODEs, but not for someone with low motivation or shaky prerequisite knowledge. Make sure to read the introduction and all exposition in the textbook, as these paragraphs are necessary to understand the goals of the author and the direction of the textbook. Excellent exercises which necessitate careful readings of the textbook.
Qutalan Qutalan
Text generally follows the standard definition-theorem-proof format. The writing style is informal and abbreviated, but the presentation is usually rigorous. That said, this is not a learning text: the utter lack of worked examples is frustrating, as are the poorly labeled graphs scattered throughout (in fact, some of the graphs aren't labeled at all). I don't mind working when I read a mathematics text. But I also don't like having to guess what things mean, or how to use results. Too often this text forced me to guess. Inclusion of worked, explanatory examples would have been helpful in this regard. Each chapter comes equipped with a set of exercises. Many of these are quite challenging. Overall, a serious and demanding text.
Geny Geny
Although Applied math book, you will see lots of theorems and you might be bored.
If you are looking out for lots of examples then it will not for that
Do not forget this is a comment not a word from specialist!!
Buge Buge
The ODE section is pretty good (it is five star). However, the PDE section is mediocre at best and boundary value problems for ODE are practically not covered.
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too many typos and mistakes. e.g. the second part of lemma 8.3 on p157 is completely wrong.
Na Na
Good
Walianirv Walianirv
Yes !
A very informal style of writing with lots of explanation. He doesn't skip large steps like in the old-fashioned terse style of math texts, which makes it very readable, though some readers may not like it. Not very rigorous, but he's upfront about it.

The original version from 1996 has quite a few errors, and the author maintains information on errata on his website. The most recent reprinting has corrected most of these errors. So, even though there is only a single edition, some versions have errors and some don't. So, BEWARE BUYING USED EDITIONS because they will most likely be from an earlier printing and thus have more errors. I assume the new version on amazon is the corrected version.