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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.

Numerical analysis. --- Measurement. --- Number concept. --- Matrices. --- Mathematics --- Analyse numérique. --- Nombre, Idée de. --- Matrices. --- Mesure. --- Mathématiques --- Study and teaching (Higher) --- Étude et enseignement (supérieur)

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Fractions --- Rapport et proportion --- Nombre, Idée de --- Ratio and proportion --- Fractions --- Number concept in children. --- Étude et enseignement. --- Étude et enseignement. --- Chez l'enfant. --- Study and teaching. --- Study and teaching.

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Mathematics --- Husserl, Edmund --- Philosophy, German --- Number theory --- Arithmetic --- Phenomenology --- Philosophie allemande --- Mathématiques --- Théorie des nombres --- Arithmétique --- Phénoménologie --- Philosophy --- Foundations --- Philosophie --- Fondements --- Husserl, Edmund, --- -Academic collection --- Math --- Science --- Philosophy. --- Mathématiques --- Théorie des nombres --- Arithmétique --- Phénoménologie --- Husserl, Edmond --- Academic collection --- Logic of mathematics --- Mathematics, Logic of --- Number concept. --- Nombre, Idée de. --- Mathematics - Philosophy --- Husserl, Edmund, - 1859-1938 --- Phenomenology. --- Foundations. --- Nombre, Idée de.