Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc
0. Introduction and summary 1. Linear algebra without coordinates 2.. Exterior product 3. Basic applications 4. Advanced applications 5. Scalar product A. Complex numbers B. Permutations C. Matrices D. Distribution of this text
This text introduce the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the elementary array-based formalism of vector and matrix calculations. It introduces a new way of looking at linear algebra using exterior products, which help understand higher-dimensional spaces. The book explains the geometric and algebraic ideas behind vector spaces and connects them to real-world problems in fields like physics and engineering. It shows how the standard properties of determinants, the Liouville formula, the Hamilton-Cayley theorem, and Pfaffians, as well as some results concerning eigenspace projectors can be derived without cumbersome matrix calculations. It’s great for students who already know basic linear algebra and want to dive into more advanced topics.
Title: Linear Algebra via Exterior Products by Sergei Winitzki Publisher: Ludwig-Maximilians University Year: 2009 Pages: 285 Type: PDF Language: English ISBN-10 #: 140929496X ISBN-13 #: 978-1409294962 License: GNU Amazon: Amazon
The author Sergei Winitzki is a mathematician who wrote Linear Algebra via Exterior Products, where he takes a different approach to linear algebra. Instead of just using traditional methods like matrices, he focuses on exterior products, which help explain concepts like determinants and geometry, such as volume and orientation.
Join with us :-
© 2025 - 2026 Free Mathematics Books
.