This book introduces the computational approach to scientific understanding, which has become a crucial third pillar alongside experiments and theory. Authored by Aslak Tveito, Bjørn Frederik Nielsen, Hans Petter Langtangen, and Xing Cai, this text aims to provide a gentle introduction to computational methods, emphasizing principles and ideas that are transferable across various scientific and engineering disciplines. It focuses on teaching fundamental techniques through practical examples, assuming the reader has a background in calculus, basic linear algebra, and elementary programming.

This text is positioned as an accessible introduction to scientific computing, designed for individuals with a foundational understanding of calculus, linear algebra, and programming. Its emphasis on practical examples and transferable principles suggests it aims to equip readers with the core skills needed to engage with modern computational approaches in a wide array of scientific and engineering fields. The book's structure, focusing on implementation and core ideas, indicates a pedagogical approach geared towards building practical competency in scientific computation.