Digital library
Textbooks, references and open learning resources.
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Introduction to Algebraic Structures
Tom Denton · Google Research
An algebraic structure is a set (called carrier set or underlying set) with one or more finitary operations defined on it that satisfies a list of axioms. Examples of algebraic structures include groups, rings, fields, and lattices.
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Teachers College, Columbia University
LibreTexts
In the contents: Mathematics for Elementary Teachers (Manes)
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Tasty Bits of Several Complex Variables
Jiří Lebl · Oklahoma State University
Graduate level mathematics textbook on Several Complex Variables (complex analysis in several variables). A free online textbook based on class notes for the graduate course at Oklahoma State University.
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MAT 2420 Calculus II
LibreTexts
This course continues the study of single variable calculus which will include techniques of integration, analytic geometry, improper integrals, convergence of infinite numerical series and power series.
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Fundamentals of Transportation
David Levinson et al. · Wikibook
This text is aimed at undergraduate civil engineering students, though the material may provide a useful review for practitioners and graduate students in transportation. Often this is the first engineering course students take, which requires a switch in thinking from simply solving given problems to formulating the problem mathematically before solving it, i.e. from straight-forward calculation often found in undergraduate Calculus to vaguer word problems more reflective of the real world.
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Rings with Inquiry
Michael Janssen & Melissa Lindsey · Dordt University & University of Wisconsin-Madison
One of the concepts fundamental to the historical development of algebra is the notion of factorization; closely related questions that have driven the development of algebra over the centuries are: when does a polynomial equation have solutions in a particular number system, and is there a systematic way to find them? The goal of this book is to explore the idea of factorization from an abstract perspective.
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Calculus 2 - Fall 2026
Senorina Vazquez · Hartnell College
This is a second course in differential and integral calculus of a single variable covering integration, techniques of integration, infinite sequences and series, polar and parametric equations, and applications of integration. This text is primarily using Active Calculus by Matthew Boelkins at GVSU and some supplements were gathered from OpenStax for trig substitution, parametric equations, and polar coordinates. (Image Credit: Active Calculus by Matt Boelkins, licensed under CC by SA 4.0)
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Introductory Statistics
Barbara Illowsky & Susan Dean · De Anza College
This text follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs.
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Algebra in Cuneiform
Jens Høyrup · Roskilde University
In the contents: 1.01: Useless mathematics
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Differential Equations for Engineers
Jiří Lebl · Oklahoma State University
A one semester first course on differential equations, aimed at engineering students. Prerequisite for the course is the basic calculus sequence.
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Logic for All: An Introduction to Logical Reasoning
Xinyue Wang · Stanford, Online High School
LibreTexts
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Introduction to Real Analysis
William F. Trench · Trinity University
In the contents: 1.02: Mathematical Induction
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Trigonometry
Ted Sundstrom & Steven Schlicker · Grand Valley State University
This trigonometry textbook this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged. Since this can be a difficult task, there are several features of the book designed to assist students in this endeavor. In particular, most sections of the book start with a beginning activity that review prior mathematical work that is necessary for the new section.
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Interactive Calculus Q3
Larry Green · Lake_Tahoe_Community_College
The text guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. It focuses on sequences and series, Taylor polynomials, polar coordinates, and differentiation and integration of multivariate functions.
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Surface Water and Distribution
Staff · Northeast Wisconsin Technical College
This text addresses the physical, chemical, and biological principles of operation of surface water treatment and distribution systems. The basic unit processes, control parameters, and mathematical problem-solving related to surface water treatment facilities and distribution systems are introduced. Laboratory procedures and practices involved with operation of water analysis and treatment.
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Introduction to Game Theory: a Discovery Approach
Jennifer A. Firkins Nordstrom · Linfield College
Many colleges offer courses in quantitative reasoning for all students. One model for a quantitative reasoning course is to provide students with a single cohesive topic. Ideally, such a topic can pique the curiosity of students with wide ranging academic interests and limited mathematical background. This text is intended for use in such a course. This text may also be appropriate for a high school enrichment course.
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Elementary Calculus 2e
Michael Corral · Schoolcraft College
This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II. The book is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but the old idea of an infinitesimal is resurrected, owing to its usefulness.
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PreAlgebra
Davis Arnold · College of the Redwoods
In the contents: 3.01: Mathematical Expressions · 4.01: Prelude to Fractions - Egyptian Math
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Interactive Calculus Q2
Larry Green · Lake_Tahoe_Community_College
Applications of the integral, techniques of integration, exponential and logarithmic functions, hyperbolic functions, and inverse trigonometric functions will be studied.
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Applied Discrete Structures
Al Doerr & Ken Levasseur · University of Massachusetts Lowell
In the contents: 3.05: Mathematical Systems and Proofs · 3.07: Mathematical Induction · 17.02: B - Python and SageMath