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Exterior algebraselementary tribute ...
~
Grassmann, Hermann, (1809-1877.)
Exterior algebraselementary tribute to Grassmann's ideas /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Exterior algebrasVincent Pavan.
其他題名:
elementary tribute to Grassmann's ideas /
作者:
Pavan, Vincent,
出版者:
London :ISTE Press,2017.
面頁冊數:
1 online resource.
標題:
Ausdehnungslehre.
電子資源:
https://www.sciencedirect.com/science/book/9781785482373
ISBN:
9780081023488 (electronic bk.)
Exterior algebraselementary tribute to Grassmann's ideas /
Pavan, Vincent,
Exterior algebras
elementary tribute to Grassmann's ideas /[electronic resource] :Vincent Pavan. - London :ISTE Press,2017. - 1 online resource.
Includes bibliographical references and index.
<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. Λ2E Algebra. </p>
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.
ISBN: 9780081023488 (electronic bk.)Subjects--Personal Names:
895966
Grassmann, Hermann,
1809-1877.Subjects--Topical Terms:
895967
Ausdehnungslehre.
Index Terms--Genre/Form:
214472
Electronic books.
LC Class. No.: QA205
Dewey Class. No.: 512.5
Exterior algebraselementary tribute to Grassmann's ideas /
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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. Λ2E Algebra. </p>
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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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https://www.sciencedirect.com/science/book/9781785482373
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