Linear Algebra Done Wrong by Sergei Treil
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About this book :-
This book appeared as lecture notes for the course "Honors Linear Algebra". It supposed to be a first linear algebra course for mathematically advanced students. It is intended for a student who, while not yet very familiar with abstract reasoning, is willing to study more rigorous mathematics that is presented in a "cookbook style" calculus type course. The target audience explains the very specific blend of elementary ideas and concrete examples, which are usually presented in introductory linear algebra texts with more abstract definitions and constructions typical for advanced books. It is not written by or for an algebraist. It focuses on understanding the core concepts like vector spaces, eigenvalues, and linear transformations rather than just solving problems. It provides a solid foundation for those looking for a more conceptual understanding of the subject. It’s perfect for students who want to dive deeper into the theory behind linear algebra.
In this book the topics that are important for analysis, geometry, probability, etc., and did not include some traditional topics. Only finite-dimensional spaces cover in this book and a basis always means a finite basis. The reason is that it is impossible to say something non-trivial about infinite-dimensional spaces without introducing convergence, norms, completeness etc., i.e. the basics of functional analysis.
Book Detail :-
This book has following details information.
Title:
Linear Algebra Done Wrong by Sergei Treil by NA
Publisher:
Sergei Raimondovich Treil
Series:
eBooksDir
Year:
2004
Pages:
222
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
Country:
Pakistan
License:
CC BY-NC-ND 3.0
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About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. Basic Notions
2. Systems of linear equations
3. Determinants
4. Introduction to spectral theory (eigenvalues and eigenvectors)
5. Inner product spaces
6. Structure of operators in inner product spaces
7. Bilinear and quadratic forms
8. Dual spaces and tensors
9. Advanced spectral theory
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