Linear Algebra as an Introduction to Abstract Mathematics by Isaiah Lankham, Bruno Nachtergaele, Anne Schilling
About this book :-
This book is designed for undergraduate students who have completed basic calculus and are ready to explore more theoretical aspects of mathematics. The book introduces key concepts like vector spaces, linear maps, eigenvalues, and determinants, focusing on developing proof-writing skills alongside computational techniques. Each chapter includes exercises to reinforce both understanding and application of the material. It’s a great choice for anyone who wants to learn the abstract side of the subject.
Book Detail :-
Title:
Linear Algebra as an Introduction to Abstract Mathematics by Isaiah Lankham, Bruno Nachtergaele, Anne Schilling
Publisher:
University of California, Davis
Year:
2015
Pages:
256
Type:
PDF
Language:
English
ISBN-10 #:
9814723770
ISBN-13 #:
978-9814723770
License:
CC BY-SA 4.0
Amazon:
Amazon
About Author :-
The author
Isaiah Lankham
is Professor of mathematics at University of California, Davis. He helps students understand the theory of linear algebra, which is a good starting point for learning more advanced math.
Book Contents :-
1. What is Linear Algebra?
2. Introduction to Complex Numbers
3. The Fundamental Theorem of Algebra and Factoring Polynomials
4. Vector Spaces
5. Span and Bases
6. Linear Maps
7. Eigenvalues and Eigenvectors
8. Permutations and the Determinant of a Square Matrix
9. Inner Product Spaces
10. Change of Bases
11. The Spectral Theorem for Normal Linear Maps
A. Supplementary Notes on Matrices and Linear Systems
B. The Language of Sets and Functions
C. Summary of Algebraic Structures Encountered
D. Some Common Math Symbols and Abbreviations
E. Summary of Notation Used
F. Movie Scripts
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