This concise, plain-language guide for senior undergraduates and
graduate students aims to develop intuition, practical skills and
an understanding of the framework of numerical methods for the
physical sciences and engineering. It provides accessible
self-contained explanations of mathematical principles, avoiding
intimidating formal proofs. Worked examples and targeted exercises
enable the student to master the realities of using numerical
techniques for common needs such as solution of ordinary and
partial differential equations, fitting experimental data, and
simulation using particle and Monte Carlo methods. Topics are
carefully selected and structured to build understanding, and
illustrate key principles such as: accuracy, stability, order of
convergence, iterative refinement, and computational effort
estimation. Enrichment sections and in-depth footnotes form a
springboard to more advanced material and provide additional
background. Whether used for self-study, or as the basis of an
accelerated introductory class, this compact textbook provides a
thorough grounding in computational physics and engineering.
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