Textbook in PDF format

Computational science is an emerging area (or discipline) that includes concepts, principles, and methods from applied mathematics and algorithmic de- sign and computer programming; these are applied in various areas of sci- ence and engineering to solve large-scale scientific problems. A computational model is a computer implementation of the solution to a (scientific) problem for which a mathematical representation has been formulated. Developing a computational model includes formulating the mathematical representation and im- plementing it by applying computer science concepts, principles and methods. Computational modeling is the foundational component of computational science and focuses on reasoning about problems using computational thinking and developing models for problem solving. The primary goal of this book is to introduce readers to the basic principles of computational modeling at the level of fundamental concepts. Emphasis is on reasoning about problems, conceptualizing the problem, elementary math- ematical modeling, and their computational solution that involves computing results and visualization. The book emphasizes analytical skill development and problem solving rather than programming language syntax and explains simple pseudo-code, QR simple algorithm design, and MATLAB, Octave, and FreeMat programming. MATLAB is a widely used scientific software tool; Octave and FreeMat are freely available software tools compatible with MATLAB