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Numerical Methods by Germund Dahlquist (Paperback, 2003)

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By Germund Dahlquist. Author Germund Dahlquist. Approximation of Functions. Nonlinear Equations. Differential Equations. Solutions to Problems. Bibliography and Published Algorithms. Appendix Tables.

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Substantial, detailed and rigorous . . . readers for whom the book is intended are admirably served. - MathSciNet (Mathematical Reviews on the Web), American Mathematical Society. Practical text strikes fine balance between students' requirements for theoretical treatment and needs of practitioners, with best methods for large- and small-scale computing. Prerequisites are minimal (calculus, linear algebra, and preferably some acquaintance with computer programming). Text includes many worked examples, problems, and an extensive bibliography.