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Classical vector analysis deals with vector fields; the gradient, divergence, and curl operators; line, surface, and volume integrals; and the integral theorems of Gauss, Stokes, and Green. Modern vector analysis distills these into the Cartan calculus and a general form of Stokes' theorem. This essentially modern text carefully develops vector analysis on manifolds and reinterprets it from the classical viewpoint (and with the classical notation) for three-dimensional Euclidean space, then goes on to introduce de Rham cohomology and Hodge theory. The material is accessible to an undergraduate student with calculus, linear algebra, and some topology as prerequisites. The many figures, exercises with detailed hints, and tests with answers make this book particularly suitable for anyone studying the subject independently.

Mathematical physics --- Vector analysis --- 512.6 --- oefeningen --- vectoren --- Algebra, Universal --- Mathematics --- Numbers, Complex --- Quaternions --- Spinor analysis --- Vector algebra --- Vector analysis. --- Analyse vectorielle --- Manifolds (Mathematics). --- Complex manifolds. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Analytic spaces --- Manifolds (Mathematics) --- Geometry, Differential --- Topology

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In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The initial chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This book also gives the first comprehensive survey of recent research on Clifford algebras. A new classification of spinors is introduced, based on bilinear covariants of physical observables. This reveals a new class of spinors, residing between the Weyl, Majorana and Dirac spinors. Scalar products of spinors are classified by involutory anti-automorphisms of Clifford algebras. This leads to the chessboard of automorphism groups of scalar products of spinors. On the analytic side, Brauer-Wall groups and Witt rings are discussed, and Caucy's integral formula is generalized to higher dimensions.

Clifford algebras. --- Spinor analysis. --- Calculus of spinors --- Spinor calculus --- Spinors, Theory of --- Algebra --- Wave mechanics --- Calculus of tensors --- Vector analysis --- Geometric algebras --- Algebras, Linear

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Wessel, Caspar --- Congresses --- Numbers [Complex ] --- History --- Vector analysis --- Geometry --- Cartography --- Numbers, Complex --- Nombres complexes --- Nombres complexes. --- Nombres hypercomplexes. --- Numbers, Complex. --- Nombres hypercomplexes --- Histoire des mathematiques --- Geometrie --- Cartographie --- 19e siecle --- 18e siecle --- Histoire

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658.7 --- 658.513 --- Material requirements planning --- -Materials management --- -Business logistics --- -Industrial procurement --- -Marketing channels --- -Linear programming --- 658.5 --- 658.012 --- Matrices --- Production scheduling --- Programming (Mathematics) --- Substitutions, Linear --- Transformations (Mathematics) --- Vector analysis --- Channels, Marketing --- Channels of distribution --- Distribution channels --- Gray market --- Physical distribution of goods --- Buyer-supplier relations --- Buying, Industrial --- Industrial buying --- Industrial equipment --- Industrial purchasing --- Procurement, Industrial --- Purchasing, Industrial --- Supplier-buyer relations --- Industrial management --- Purchasing --- Supply chain management --- Logistics --- Materiel management --- Business logistics --- Inventory control --- Material accountability --- Materials requirements planning --- MRP (Manufacturing) --- Materials management --- Flexible manufacturing systems --- Buying. Purchasing. Procurement. Management of stock --- Supervision of production work. Follow-up, progressing, expediting. Scheduling --- Mathematical models --- Productiebeleid --- Planning in het bedrijf --- Voorraadbeleid. Inkoopbeleid --- Industrial procurement --- Linear programming. --- Marketing channels --- Mathematical models. --- 658.7 Buying. Purchasing. Procurement. Management of stock --- 658.513 Supervision of production work. Follow-up, progressing, expediting. Scheduling --- Linear programming