Preface to the Second Edition.- Preface.- Prologue.- Chapter 1. Machine Arithmetic and Related Matters.- Chapter 2. Approximation and Interpolation.- Chapter 3. Numerical Differentiation and Integration.- Chapter 4. Nonlinear Equations.- Chapter 5. Initial Value Problems for ODEs --- One-Step Methods.- Chapter 6. Initial Value Problems for ODEs --- Multi-Step Methods.- Chapter 7. Two-Point Boundary Value Problems for ODEs.- References.- Subject Index.
Walter Gautschi holds a Ph.D. in mathematics from the University of Basel, and completed postdoctoral work as a Janggen-Poehn Research Fellow at the Istituto Nazionale per le Applicazioni del Calcolo in Rome and at the Harvard Computation Laboratory. His professional experience included positions at the National Bureau of Standards, the American University in Washington D.C., and the Oak Ridge National Laboratory, after which he spent his entire career at Purdue University. In addition to his previous edition of this title, Dr. Gautschi has authored a book on orthogonal polynomials and over 150 papers, many on the subject of numerical analysis.
The book reads like an unfolding story... Topics are motivated with
great care and ingenuity that might be given to establishing the
drive behind characters in a good novel... Clarity is never
sacrificed for elegance. Above all, the pace is always lively and
brisk, the writing concise, and the author never lets the
exposition bog down... [The book] successfully conveys the author's
interest and experience in the subject to the reader. -SIAM,
review of the First EditionFrom the reviews of the second
edition:"This is the second updated edition of the 1997 version.
It's a classical book on numerical analysis that can be used as
course notes. ... The second edition has updated references and
notes ... . The major change is however that now solutions to all
exercises and computer assignments are available. ... Conclusion:
one of the better handbooks on the market today, based on several
decades of teaching experience of the author. It is an excellent
tool for teaching a classical numerical analysis course." (A.
Bultheel, The European Mathematical Society, February, 2012)