Exterior Algebras
Elementary Tribute to Grassmann's Ideas
by Vincent Pavan
1st Edition
Publisher: ISTE Press - Elsevier
Book Details
| Print ISBN | 9781785482373 |
| eText ISBN | 9780081023488 |
| Publisher | ISTE Press - Elsevier |
| Publishing Year | 2017 |
| Edition | 1st Edition |
| Language | English |
| Pages | 208 |
Exterior Algebras: Elementary Tribute to Grassmann's Ideas, 1st Edition, presents an accessible treatment of exterior algebras and their direct utility in linear algebra.
The volume introduces fundamental algebraic frameworks, moving from foundational linear concepts to determinant calculus and volume computations. It demonstrates how exterior structures resolve core mathematical challenges, such as linear system analysis and the study of skew-symmetric operators.
Designed as a self-contained guide, the text requires no specialized algebraic background. It supports mathematical study with numerous examples and direct applications suited for beginners alongside complete proofs.
Table of Contents
Chapter 1: Reminders on Linear Algebra
Chapter 2: Construction of Exterior Algebras
Chapter 3: Exterior Product Symbol
Chapter 4: Bases of Exterior Algebras
Chapter 5: Determinants
Chapter 6: Pseudo-dot Products
Chapter 7: Pseudo-Euclidean Algebras
Chapter 8: Divisibility and Decomposability
Chapter 9: H-conjugation and Regressive Product
Chapter 10: Endomorphisms of Exterior Algebras
Chapter 11: Λ2E Algebra
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