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" Exterior algebras : "
Vincent Pavan.
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BL
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| Record Number
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856031
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| Main Entry
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Pavan, Vincent
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| Title & Author
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Exterior algebras : : elementary tribute to Grassmann's ideas /\ Vincent Pavan.
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| Publication Statement
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London :: ISTE Press,, 2017.
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1 online resource
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| ISBN
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0081023480
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: 9780081023488
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1785482378
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9781785482373
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Includes bibliographical references and index.
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| Contents
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<P>1. Reminders on Linear Algebra. 2. Construction of Exterior Algebras. 3. Exterior Product Symbol. 4. Bases of Exterior Algebras. 5. Determinants. 6. Pseudo-dot Products. 7. Pseudo-Euclidean Algebras. 8. Divisibility and Decomposability. 9. H-conjugation and Regressive Product. 10. Endomorphisms of Exterior Algebras. 11. Î#x9B;2E Algebra. </p>
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| Abstract
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Exterior Algebras: Elementary Tribute to Grassmann's Ideas provides the theoretical basis for exterior computations. It first addresses the important question of constructing (pseudo)-Euclidian Grassmmann's algebras. Then, it shows how the latter can be used to treat a few basic, though significant, questions of linear algebra, such as co-linearity, determinant calculus, linear systems analyzing, volumes computations, invariant endomorphism considerations, skew-symmetric operator studies and decompositions, and Hodge conjugation, amongst others.
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Grassmann, Hermann,1809-1877.
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Grassmann, Hermann,1809-1877.
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Algebra.
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Ausdehnungslehre.
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Algebra.
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Ausdehnungslehre.
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MATHEMATICS-- Algebra-- Intermediate.
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| Dewey Classification
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512.5
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| LC Classification
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QA205
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