Linear Algebra by David Cherney, Denton and Waldron
Linear Algebra - Table of Contents
1. What is Linear Algebra?
2. Systems of Linear Equations
3. The Simplex Method
4. Vectors in Space, n-Vectors
5. Vector Spaces
6. Linear Transformations
7. Matrices
8. Determinants
9. Subspaces and Spanning Sets
10. Linear Independence
11. Basis and Dimension
12. Eigenvalues and Eigenvectors
13. Diagonalization
14. Orthonormal Bases and Complements
15. Diagonalizing Symmetric Matrices
16. Kernel, Range, Nullity, Rank
17. Least squares and Singular Values
A. List of Symbols
B. Fields
C. Online Resources
D. Sample First Midterm
E. Sample Second Midterm
F. Sample Final Exam
G. Movie Scripts
What You Will Learn in Linear Algebra
"Linear algebra" by "David Cherney" is a modern undergraduate textbook that explains core mathematical ideas with clarity and geometric insight. It introduces concepts such as "vector spaces" and transformations in a way that helps students understand both computation and theory. Rather than focusing only on formulas, the book emphasizes intuition and problem solving so learners can grasp why algebraic methods work.
Key topics include matrices, systems of equations, and "eigenvalues", along with applications that show how linear algebra supports scientific and engineering problem solving. Cherney connects abstract ideas to real examples, helping students see the relationship between algebra and modern technology. The structured progression of lessons ensures that beginners can build understanding step by step.
Overall, this textbook is valuable for students seeking a strong foundation in "matrix operations" and mathematical reasoning. By combining theory with visual explanations and applications, it prepares learners for advanced studies in mathematics, physics, and computer science. The focus on "geometric intuition" makes complex ideas accessible and useful for practical problem solving.
Book Details & Specifications
Title:
Linear Algebra by David Cherney, Denton and Waldron
Publisher:
University of California, Davis
Year:
2013
Pages:
410
Type:
PDF
Language:
English
ISBN-10 #:
1530903866
ISBN-13 #:
978-1530903863
License:
CC BY-NC-SA 3.0
Amazon:
Amazon
About the Author: David Cherney
The author David Cherney
is a mathematician and educator specializing in "linear algebra", mathematical reasoning, and teaching clear algebraic concepts. His teaching and research focus on linear algebra, geometry, and topology. His work focuses on helping students understand "matrices", vector spaces, and problem-solving techniques in mathematics. He contributes to mathematics education by simplifying abstract ideas for learners and researchers. He co-authored Linear Algebra, a textbook that explains linear algebra with structured examples and applications. Tom Denton is also a mathematics educator who has worked on various textbooks and educational resources. His teaching approach emphasizes the practical applications of mathematics. Andrew Waldron is a professor of mathematics with a focus on algebra and linear algebra. His academic work includes contributions to the understanding of vector spaces and matrices.
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