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Hasse-Schmidt Derivations on Grassmann Algebras
Gatto, Letterio; Salehyan, Parham
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Description for Hasse-Schmidt Derivations on Grassmann Algebras
Hardback. Series: IMPA Monographs. Num Pages: 195 pages, 16 black & white illustrations, biography. BIC Classification: PBKF; PBKJ. Category: (G) General (US: Trade). Dimension: 235 x 155 x 14. Weight in Grams: 497.
This book provides a comprehensive advanced multi-linear algebra course based on the concept of Hasse-Schmidt derivations on a Grassmann algebra (an analogue of the Taylor expansion for real-valued functions), and shows how this notion provides a natural framework for many ostensibly unrelated subjects: traces of an endomorphism and the Cayley-Hamilton theorem, generic linear ODEs and their Wronskians, the exponential of a matrix with indeterminate entries (Putzer's method revisited), universal decomposition of a polynomial in the product of two monic polynomials of fixed smaller degree, Schubert calculus for Grassmannian varieties, and vertex operators obtained with the help of Schubert calculus tools ... Read more
This book provides a comprehensive advanced multi-linear algebra course based on the concept of Hasse-Schmidt derivations on a Grassmann algebra (an analogue of the Taylor expansion for real-valued functions), and shows how this notion provides a natural framework for many ostensibly unrelated subjects: traces of an endomorphism and the Cayley-Hamilton theorem, generic linear ODEs and their Wronskians, the exponential of a matrix with indeterminate entries (Putzer's method revisited), universal decomposition of a polynomial in the product of two monic polynomials of fixed smaller degree, Schubert calculus for Grassmannian varieties, and vertex operators obtained with the help of Schubert calculus tools ... Read more
Product Details
Format
Hardback
Publication date
2016
Publisher
Springer International Publishing AG Switzerland
Number of pages
195
Condition
New
Series
IMPA Monographs
Number of Pages
195
Place of Publication
Cham, Switzerland
ISBN
9783319318417
SKU
V9783319318417
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Gatto, Letterio; Salehyan, Parham
Letterio Gatto received his PhD in mathematics from the University of Torino in 1993, and since then has held permanent positions at the Department of Mathematical Sciences of the Politecnico di Torino. He is currently associate professor at the Politecnico, where he offers courses on linear algebra and geometry for students in Engineering. His research interests range from Schubert calculus ... Read more
Reviews for Hasse-Schmidt Derivations on Grassmann Algebras
“It provides a comprehensive advanced multi-linear algebra course based on the concept of Hasse-Schmidt derivations on a Grassmann algebra … . It covers a wealth of important material in a concise, nevertheless instructive manner, and as such it may serve as an excellent guide to further, more advanced and detailed reading in this fundamental area of contemporary mathematics.” (Ahmed Lesfari, ... Read more