Numerical Methods

This volume addresses undergraduate students in mathematics, computing science, and all other fields of science and engineering. The student who studied advanced calculus and has a basic knowledge of linear algebra should be well equipped for the material. This book provides an introduction to methods of numerical analysis. Of principal concern in writing this book was to expose fundamental ideas of algorithms for the solution of widely varied mathematical problems. The student should be enabled to deal with related questions, and to apply principles introduced here to new problems. Difficulties arising just from the notation or the rigour of proofs should not be obstacles covering the principal ideas of a method. To encourage the programming of the methods explicit algorithms are given throughout. For better understanding, the algorithms are always presented in a pseudo code. Simple examples further illustrate the methods. This book has grown out of a one-semester upper-level undergraduate course repeatedly held by Professor Boehm at the Technical University of Braunschweig.
 
This volume addresses undergraduate students in mathematics, computing science, and all other fields of science and engineering. The student who studied advanced calculus and has a basic knowledge of linear algebra should be well equipped for the material. This book provides an introduction to methods of numerical analysis. Of principal concern in writing this book was to expose fundamental ideas of algorithms for the solution of widely varied mathematical problems. The student should be enabled to deal with related questions, and to apply principles introduced here to new problems. Difficulties arising just from the notation or the rigour of proofs should not be obstacles covering the principal ideas of a method. To encourage the programming of the methods explicit algorithms are given throughout. For better understanding, the algorithms are always presented in a pseudo code. Simple examples further illustrate the methods. This book has grown out of a one-semester upper-level undergraduate course repeatedly held by Professor Boehm at the Technical University of Braunschweig.