Numerical Analysis and Scientific Computation

This is an introductory single-term numerical analysis text with a modern scientific computing flavor. It offers an immediate immersion in numerical methods featuring an up-to-date approach to computational matrix algebra and methods used in actual software packages, highlighting how hardware concerns can impact the choice of algorithm.

Autorentext
Jeffery J. Leader earned the Sc.M. and Ph.D. in Applied Mathematics from Brown University, where his advisor was Philip J. Davis. He specializes in numerical analysis and computational science. He has taught at Harvey Mudd College, the Naval Postgraduate School, the U.S. Military Academy, Santa Clara University (in the School of Engineering), and the U.S. Air Force Academy (as a Distinguished Visiting Professor). He has spent summers consulting at the Army and Air Force Research Labs. and the Naval Surface Warfare Center, as well as a sabbatical at Sandia National Labs. For the past 22 years he has been at Rose-Hulman Institute of Technology where he is Professor of Mathematics and founded and directs the major in Computational Science.

Inhalt

1. Nonlinear Equations 2. Linear Systems 4. Polynomial Interpolation 5. Numerical Integration 6. Differential Equations 7. Nonlinear Optimization