Discussione:
geometric algebra / geometric calculus
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ngs
2018-11-02 11:23:56 UTC
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Conoscete la (sotto)branca delle matematica chiamata geometric algebra e
la sua estensione geometric calculus?
https://en.wikipedia.org/wiki/Geometric_algebra
https://en.wikipedia.org/wiki/Geometric_calculus

Dal secondo link:
"In mathematics, geometric calculus extends the geometric algebra to
include differentiation and integration. The formalism is powerful and
can be shown to encompass other mathematical theories including
differential geometry and differential forms."

Esistono due libri introduttivi a livello undergraduate per chi fosse
interessato:
1.
https://www.amazon.com/Linear-Geometric-Algebra-Alan-Macdonald/dp/1453854932/
2.
https://www.amazon.com/Vector-Geometric-Calculus-Alan-Macdonald/dp/1480132454/

Per avere un'idea potete vedere i video (molto brevi) dello stesso
autore dei due libri sopra:
https://www.youtube.com/channel/UCymE67THrWoeTABxzJm1wdg/playlists

Libri più avanzati:
1.
https://www.amazon.com/Clifford-Algebra-Geometric-Calculus-Mathematics/dp/9027725616/
2.
https://www.amazon.com/Foundations-Classical-Mechanics-Fundamental-Theories/dp/0792355148/
3. https://www.amazon.com/Space-Time-Algebra-David-Hestenes/dp/3319184121/

Kiuhnm
ngs
2018-11-06 13:48:02 UTC
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1. https://www.amazon.com/Clifford-Algebra-Geometric-Calculus-Mathematics/dp/9027725616/
2. https://www.amazon.com/Foundations-Classical-Mechanics-Fundamental-Theories/dp/0792355148/
3. https://www.amazon.com/Space-Time-Algebra-David-Hestenes/dp/3319184121/
Aggiungo questo:
4.
https://www.amazon.com/Geometric-Algebra-Physicists-Chris-Doran/dp/0521715954/

Kiuhnm

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