A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics)
"As a mathematician who developed an interest in numerical analysis in the middle of his professional career, I thoroughly enjoyed reading this text.  I wish this book had been available when I first began to take a serious interest in computation.  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."   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."   J. Varah, Computing Reviews"The overall structure and the clarity of the exposition make this book an excellent introductory textbook for mathematics students.  It seems also useful for engineers and scientists who have a practical knowledge of numerical methods and wish to acquire a better understanding of the subject."     Mathematical Reviews"I bel;ieve this book succeeds.  It provides an excellent introduction to the numerical analysis of differential equations..."    J. Varah, Computing Reviews