Linear Algebra by André Hensbergen, Nikolaas Verhulst
Linear Algebra - Table of Contents
1. Vectors, Lines and Planes
2. Systems of linear Equations, Vector Equations and Matrix Equations
3. Matrix Operations
4. Subspaces
5. Determinants
6. Eigenvalues and eigenvectors
7. Orthogonality
8. Symmetric Matrices
9. Dynamical Systems
A. Complex Numbers
B. The Inverse Matrix Theorem
What You Will Learn in Linear Algebra
"Linear Algebra" by André Hensbergen and Nikolaas Verhulst is a beginner-friendly textbook designed for university students, especially those studying "engineering" and applied sciences. The book introduces core ideas step by step, starting with vectors and geometry before moving into systems of equations and "matrices". The explanations are clear and structured, making it suitable for first-time learners.
A key strength of the book is its focus on understanding, not just calculation. Topics such as "linear transformations", eigenvalues, eigenvectors, and orthogonality are explained using intuitive examples and visual thinking. The authors connect algebraic methods with geometric meaning, helping students see how formulas relate to real mathematical structures.
The book also encourages active learning through examples and practice problems that reinforce concepts. It balances theory with application, allowing readers to build confidence in both problem-solving and conceptual reasoning. Overall, it is a solid resource for anyone seeking a clear and practical introduction to "vector spaces", "matrix operations", and foundational linear algebra ideas.
Book Details & Specifications
Title:
Linear Algebra by André Hensbergen, Nikolaas Verhulst
Publisher:
TU Delft OPEN Publishing
Year:
2025
Pages:
501
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
CC BY 4.0
Amazon:
Amazon
About the Author: André Hensbergen
The author
André Hensbergen
is a mathematician and university lecturer at "TU Delft", where he teaches undergraduate engineering and mathematics students. His work focuses on clear explanation of "linear algebra" concepts, blending theory with practical insight to support effective learning. He is especially interested in using visual reasoning to build strong mathematical intuition. "Nikolaas Verhulst" is an applied mathematician at "TU Delft" with expertise in discrete mathematics and optimization. As a co-author, he contributes strong analytical structure and real-world relevance to the textbook, helping students connect abstract ideas to applications. Together, they create accessible, student-centered learning resources for foundational mathematics.
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