Dahlquist, Germund Numerical Methods (0486428079)
'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. 1974 ed.