“If mathematical modeling is the process of turning real phenomena into mathematical abstractions, then numerical computation is largely about the transformation from abstract mathematics to concrete reality. Many science and engineering disciplines have long benefited from the tremendous value of the correspondence between quantitative information and mathematical manipulation.” -from the Preface

Fundamentals of Numerical Computation is an advanced undergraduate-level introduction to the mathematics and use of algorithms for the fundamental problems of numerical computation: linear algebra, finding roots, approximating data and functions, and solving differential equations. The book is organized with simpler methods in the first half and more advanced methods in the second half, allowing use for either a single course or a sequence of two courses. The authors take readers from basic to advanced methods, illustrating them with over 200 self-contained MATLAB functions and examples designed for those with no prior MATLAB experience. Although the text provides many examples, exercises, and illustrations, the aim of the authors is not to provide a cookbook per se, but rather an exploration of the principles of cooking.

Professors Driscoll and Braun have developed an online resource that includes well-tested materials related to every chapter. Among these materials are lecture-related slides and videos, ideas for student projects, laboratory exercises, computational examples and scripts, and all the functions presented in the book.

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Tobin A. Driscoll is a Professor of mathematics in the Department of Mathematical Sciences at the University of Delaware. His research is in numerical methods for and applications of scientific computing, and he has contributed to open-source MATLAB software, including the Chebfun project. He is the author of over 50 refereed articles and three other books, including Learning MATLAB.

Richard J. Braun is a Professor of mathematics in the Department of Mathematical Sciences at the University of Delaware. His research interests include mathematical modeling to create models to subsequently solve numerically. The problems most often include free boundaries, partial differential equations, and mathematical models for the tear film and ocular surface. He is the author of over 70 scientific articles in a wide range of journals in mathematics and applications and is on editorial boards of five scientific journals.

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