Computational Science and Engineering
Encompasses the full range of computational science and engineering from modelling to solution, both analytical and numerical. It develops a framework for the equations and numerical methods of applied mathematics. Gilbert Strang has taught this material to thousands of engineers and scientists (and many more on MIT's OpenCourseWare 18.085-6). His experience is seen in his clear explanations, wide range of examples, and teaching method. The book is solution-based and not formula-based: it integrates analysis and algorithms and MATLAB codes to explain each topic as effectively as possible. The topics include applied linear algebra and fast solvers, differential equations with finite differences and finite elements, Fourier analysis and optimization. This book also serves as a reference for the whole community of computational scientists and engineers. Supporting resources, including MATLAB codes, problem solutions and video lectures from Gilbert Strang's 18.085 courses at MIT, are provided at math.mit.edu/cse.
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The practicality of this book is terrific. Rather than being laden with proofs that make some concepts opaque like several other numerical analysis books, this one uses theory to foster understanding rather than using theory to construct a dry proof-driven narrative ending in a square on the last line. When reading this book, the reader can feel the enthusiasm in Strang's tone, which comes across like sweet poetry. 10/10
Gilbert Strang is a fabulous teacher and communicator -- this book is highly recommended together with the MIT Open Course Ware that accompanies it.