Mohlo by sa vám tiež páčiť

Viac informácií o knihe Hasse-Schmidt Derivations on Grassmann Algebras

• Parametre knihy
• Anotácia kniha
• Obľúbené z iného súdka

Nákupom získate 358 bodov

Anotácia knihy

This book provides a comprehensive advanced 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 (Giambelli's formula). Significant emphasis is placed on the characterization of decomposable tensors of an exterior power of a free abelian group of possibly infinite rank, which then leads to the celebrated Hirota bilinear form of the Kadomtsev-Petviashvili (KP) hierarchy describing the Plücker embedding of an infinite-dimensional Grassmannian. By gathering ostensibly disparate issues together under a unified perspective, the book reveals how even the most advanced topics can be discovered at the elementary level.§

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Calculus & mathematical analysis

• Celý názov: Hasse-Schmidt Derivations on Grassmann Algebras
• Podnázov: With Applications to Vertex Operators
• Autor: Letterio Gatto, Parham Salehyan
• Jazyk: Angličtina
• Väzba: Pevná
• Počet strán: 195
• EAN: 9783319318417
• ISBN: 3319318411
• ID: 02950036
• Nakladateľ: Springer International Publishing AG
• Hmotnosť: 4557 g
• Rozmery: 235 × 155 × 19 mm
• Dátum vydania: 09. July 2016

Obľúbené z iného súdka

---

---

---