From the reviews:

?This book by Griffiths (Univ. of Dundee, UK) and Higham (Univ. of Strathclyde, UK) introduces the fields of numerical analysis and scientific computation. ? Overall, there are many examples and exercises for students to read and try. ? The work is very readable for an introductory course. An undergraduate who has completed at least the full calculus sequence should find the material interesting and accessible. Summing Up: Recommended. Lower-division undergraduates.? (S. L. Sullivan, Choice, Vol. 48 (10), June, 2011)

?There is a place for an elementary text that concentrates on the mathematical aspects while still referring to the applications of initial-value ODEs, and have set out to produce such a book. ? Each chapter ends with a set of graded exercises ? . In addition, there are worked examples throughout the book that illustrate the important ideas being covered. ? a preparatory text for students taking a graduate course in numerical analysis. ? this book is very well suited to its intended purpose.? (Philip W. Sharp, Mathematical Reviews, Issue 2012 g)

?This book provides material for a first typical course introducing numerical methods for initial-value ordinary differential equations but also highlights some new and emerging themes. ? The authors include a wealth of theoretical and numerical examples that motivate and illustrate the fundamental ideas ? . Although the book is aimed to be used by undergraduate students I felt that it might well be of interest to academic teachers in the field. ? I highly recommend the book ? .? (Rolf Dieter Grigorieff, Zentralblatt MATH, Vol. 1209, 2011)

?This textbook introduces undergraduates in mathematics, engineering and the physical sciences to the use of numerical methods for solving ordinary differential equations. ? The primary practical goal of the book is to show students what?s going on inside scientific computing software, and to give them a sense of the strengths and limitations of numerical methods. ? This is an attractive, very readable introduction to the subject for students ? .? (William J. Satzer, The Mathematical Association of America, May, 2011)

Written for undergraduate students with a mathematical background, this book is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. It features numerous theoretical and computational examples.