Digital library
Textbooks, references and open learning resources.
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Engineering Modeling and Analysis with Python, 2E
Carl Greco, Zahra Zamanipour and Thomas Dodds · Arkansas Tech University
An open-access textbook designed to equip undergraduate engineering students with core computational and analytical skills using the Python ecosystem. It transitions from fundamental Python programming concepts, such as data structures, control flow, file I/O, and object-oriented programming into practical applications with libraries like NumPy, SciPy, Matplotlib, Pandas, and SymPy. Dynamic systems, solve linear algebra equations, and visualize engineering data.
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Applied Geometric Algebra (Tisza)
László Tisza · Massachusetts Institute of Technology
In the contents: 01: Algebraic Preliminaries · 1.05: A short survey of linear groups · 02: The Lorentz Group and the Pauli Algebra
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Computational Physics
Y. D. Chong · Nanyang Technological University
In the contents: 04: Numerical Linear Algebra · 4.02: Linear Equations · 8.01: Sparse Matrix Algebra
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Math 091: Essentials of Intermediate Algebra
Patrick Kwon · Highline College
In the contents: 02: Linear Equations · 2.01: Linear Functions - Applications · 2.02: Prelude to Solving Linear Equations
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MTH 65: Algebra 2
Math Department · Clackamas Community College
TThis book builds a strong algebra foundation. You’ll review core skills like order of operations, fractions, and linear equations, then expand into polynomials, exponents, roots, and radicals. Finally, you’ll explore absolute value to model distance, tolerance, and precision. These connected skills form a toolkit to solve problems confidently and prepare you for advanced math and real-world applications.
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Matrix Analysis
Steve Cox · Rice University
Equilibria and the solution of linear and linear least squares problems. Dynamical systems and the eigenvalue problem with the Jordan form and Laplace transform via complex integration.
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Matrix Algebra with Computational Applications
Dirk Colbry · Michigan State University
In the contents: 01: Matrix Algebra class preparation checklist · 02: 01 In-Class Assignment - Welcome to Matrix Algebra with computational applications · 4.1: Example linear system
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All Things Flow - Fluid Mechanics for the Natural Sciences
Bill Smyth · Oregon State University
In the contents: 02: Review of Elementary Linear Algebra · 2.03: Systems of linear equations · 09: Nonlinear, Hydrostatic Flow Over Topography
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Math 111: College Algebra
Highline College
In the contents: 1.04: Linear Functions · 1.4.01: Linear Functions (Exercises) · 1.05: Graphs of Linear Functions
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MTH 95: Algebra 3
Math Department · Clackamas Community College
In the contents: 01: Linear Relationships Equations and Inequalities · 1.02: Linear Models and Rates of Change · 1.03: Linear Equations and Systems
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Applied Geometric Algebra
László Tisza · Massachusetts Institute of Technology
In the contents: 02: Algebraic Preliminaries · 2.05: A short survey of linear groups · 03: The Lorentz Group and the Pauli Algebra
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Elementary Abstract Algebra
W Edwin Clark · University of South Florida
This book is intended for a one semester introduction to abstract algebra. We assume that students have some familiarity with basic set theory linear algebra and calculus. But very little of this nature will be needed To a great extent the course is self contained except for the requirement of a certain amount of mathematical maturity. And hopefully the student's level of mathematical maturity will increase as the course progresses.
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Fundamentals of Matrix Algebra
Gregory Hartman · Virginia Military Institute
In the contents: 01: Systems of Linear Equations · 1.01: Introduction to Linear Equations · 1.02: Using Matrices to Solve Systems of Linear Equations
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College Algebra for Liberal Arts and Humanities
Leif Jordan · College of the Desert
In the contents: 1.01: Linear and Absolute Value Equations · 1.04: Linear and Absolute Value Inequalities · 2.04: Systems of Linear Equations - Two Variables
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Introduction to Matrix Algebra
Autar Kaw · University of South Florida
In the contents: 1.06: Gaussian Elimination Method for Solving Simultaneous Linear Equations · 1.07: LU Decomposition Method for Solving Simultaneous Linear Equations
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MATH 95: Elementary Algebra II
Melissa Halling · Minnesota State Community and Technical College
In the contents: 01: Solving Linear Systems · 1.01: Review- Solving Linear Equations · 1.1.01: Simplifying Algebraic Expressions
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MAT 117: Mathematical Problem Solving in Liberal Arts
LibreTexts
In the contents: 6.02: Linear (Algebraic) Growth
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Beginning Algebra
Lumen Learning
In the contents: 1.02: Solving Linear Equations · 1.03: Multi-Step Linear Equations · 2.03: Graphing Linear Equations
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Dynamic Systems and Control
Mohammed Dahleh, Munther A. Dahleh, and George Verghese · Massachusetts Institute of Technology
In the contents: 01: Linear Algebra Review · 1.05: Linear Systems of Equations · 7.03: Linearization
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A Second Course in Ordinary Differential Equations: Dynamical Systems and Boundary Value Problems
Russell Herman · University of North Carolina Wilmington
In the contents: 2.10: Appendix- Diagonalization and Linear Systems · 03: Nonlinear Systems · 3.05: Nonlinear Pendulum