Linear Algebra via Exterior Products by Sergei Winitzki
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About this book :-
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.
Book Detail :-
This book has following details information.
Title:
Linear Algebra via Exterior Products by Sergei Winitzki by NA
Publisher:
Ludwig-Maximilians University
Series:
eBooksDir
Year:
2009
Pages:
82
Type:
PDF
Language:
English
ISBN-10 #:
140929496X
ISBN-13 #:
978-1409294962
Country:
Pakistan
License:
GNU
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About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
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
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