Linear Algebra: Introduction to Abstract Math by Isaiah Lankham
Linear Algebra: Introduction to Abstract Math - Table of 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 Determinants
- 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
What You Will Learn in Linear Algebra: Introduction to Abstract Math
Linear Algebra - As an Introduction to Abstract Mathematics by Isaiah Lankham is an open textbook developed for upper-division mathematics courses at UC Davis. As an essential resource for students seeking a linear algebra intro abstract math pdf, it bridges elementary matrix computations with proof-based abstract mathematics.
This linear algebra introduction to abstract mathematics text covers complex numbers, vector spaces, span, bases, linear maps, matrix representations, determinants, inner product spaces, and the Spectral Theorem. Reading this linear algebra by isaiah lankham pdf helps students focus on developing formal mathematical proofs and structural concepts rather than numerical routine calculations.
Designed for students transitioning into abstract algebra and theoretical mathematics, this volume serves as a comprehensive abstract linear algebra textbook providing structured chapter notes, supplementary appendices on sets and functions, and formal definitions for advanced study.
Book Details & Specifications
Title:
Linear Algebra: Introduction to Abstract Math by Isaiah Lankham
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 the Author: Isaiah Lankham, Bruno Nachtergaele, and Anne Schilling
The author Isaiah Lankham, Bruno Nachtergaele, and Anne Schilling
are distinguished faculty members in the Department of Mathematics at the University of California, Davis.
They specialize in mathematical physics, algebraic combinatorics, and representation theory, authoring high-quality open educational resources to advance university-level mathematics education globally.
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