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This book deals with vector algebra and analysis and with their application to three-dimensional geometry and the analysis of fields in three dimensions. While many treatments of the application of vectors have approached the fundamentals of the subject intuitively, assuming some prior knowledge of Euclidean and Cartesian geometry, Professor Chrisholm here bases the subject on the axioms of linear space algebra, which are fundamental to many branches of mathematics. While developing the properties of vectors from axioms, however, he continually emphasizes the geometrical interpretation of vector algebra in order to build up intuitive relations between the algebraic equations and geometrical concepts. Throughout, examples are used to illustrate the theory being developed; several sets of problems are incorporate in each chapter, and outline answers to many of these are given. Written primarily for undergraduate mathematicians in the early part of their courses, this lucidly written book will also appeal to mathematical physicists and to mathematically inclined engineers.

Vector algebra. --- Vector analysis.

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Algebra --- Vector algebra --- Vector analysis --- 514.7 --- Algebra, Universal --- Mathematics --- Numbers, Complex --- Quaternions --- Spinor analysis --- Algebra, Vector --- Algebras, Linear --- Differential geometry. Algebraic and analytic methods in geometry --- Vector algebra. --- Vector analysis. --- 514.7 Differential geometry. Algebraic and analytic methods in geometry

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Labour market --- Quantitative methods (economics) --- Manpower planning --- Linear programming. --- Main-d'oeuvre --- Programmation linéaire --- Mathematical models. --- Planification --- Méthodes statistiques --- 519.85 --- Linear programming --- -Manpower utilization planning --- Personnel management --- Organizational change --- Matrices --- Production scheduling --- Programming (Mathematics) --- Substitutions, Linear --- Transformations (Mathematics) --- Vector analysis --- Mathematical programming --- Mathematical models --- -Mathematical programming --- 519.85 Mathematical programming --- -519.85 Mathematical programming --- Manpower utilization planning --- Programmation linéaire --- Méthodes statistiques

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Calculus of tensors --- #dd Sabbe Camiel cfx --- 514.743.4 --- Absolute differential calculus --- Analysis, Tensor --- Calculus, Absolute differential --- Calculus, Tensor --- Tensor analysis --- Tensor calculus --- Geometry, Differential --- Geometry, Infinitesimal --- Vector analysis --- Spinor analysis --- 514.743.4 Tensor analysis --- Mathematical physics --- wiskunde --- fysica