Digital library
Textbooks, references and open learning resources.
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The Academic Language of Mathematics
Costas Loizou; Deak Kirkham; Shuwei Chen · University of Leeds Open Books · 2026
The Academic Language of Mathematics is an eight-chapter, open-access textbook that helps any student studying mathematics as part of their degree to understand mathematical terminology and communicate mathematical topics clearly in English. Developed through collaboration between a mathematics lecturer at the University of Leeds, an English for Academic Purposes lecturer at the University of Leeds and a mathematics lecturer at Southwest Jiaotong University, it integrates core mathematical content with systematic work on vocabulary, structures and text types, with particular support for students in English‑medium instruction and international STEM programmes.
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The STEM Advantage: Career Planning and Internship Strategies for Science, Technology, Engineering and Mathematics Postgraduate Students
Ben Archer · James Cook University · 2025
This comprehensive guide bridges the gap between academic learning and professional application, offering a structured framework developed through experiences of students successfully completing their internship programs. Educators and students alike will benefit from practical methodologies that transform theoretical knowledge into workplace readiness, with strategic guidance for creating personalised career trajectories and maximising internship experiences.
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Mathematics Methods for Early Childhood
Janet Stramel · Fort Hays State University · 2021
Welcome to Early Childhood Mathematics! This course satisfies the Early Childhood Unified requirements in the state of Kansas for a teaching license Birth to Grade 3. Most people agree that early childhood includes the period from infancy until eight years of age, characterized by rapid and complex growth in physical, cognitive, and social domains. Math skills must be taught in early childhood. Children should be provided a foundation to succeed in elementary school and beyond. Teachers should focus lessons in early childhood around the basic skills that will help to advance future mathematics. From preschool to the end of elementary school, children are setting the foundation for future life skills. Learning mathematics is “a ‘natural’ and developmentally appropriate activity for young children” (Ginsberg, Lee, and Boyd, 2008). Through their everyday interactions with the world, many children develop informal concepts about space, quantity, size, patterns, and operations. Unfortunately, not all children have the same opportunities to build these informal and foundational concepts of mathematics in their day-to-day lives (Sherman-LeVos, 2010). Young children are naturally curious, and the best time to begin mathematics is at a time while the young child’s brain is rapidly developing. Mathematics in early childhood helps children develop critical thinking and reasoning skills early on and it’s the key to the foundation for success in their formal schooling years.
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Mathematics for Elementary Teachers
Michelle Manes · University of Hawaii Manoa · 2017
This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations.The primary goal of this book is to help you learn to think like a mathematician in some very specific ways. You will:• Make sense of problems and persevere in solving them. You will develop and demonstrate this skill by working on difficult problems, making incremental progress, and revising solutions to problems as you learn more.• Reason abstractly and quantitatively. You will demonstrate this skill by learning to represent situations using mathematical notation (abstraction) as well as creating and testing examples (making situations more concrete).• Construct viable arguments and critique the reasoning of others. You will be expected to create both written and verbal explanations for your solutions to problems. The most important questions in this class are “Why?” and “How do you know you're right?” Practice asking these questions of yourself, of your professor, and of your fellow students.Throughout the book, you will learn how to learn mathematics on you own by reading, working on problems, and making sense of new ideas on your own and in collaboration with other students in the class.
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Discrete Mathematics for Information Technology
Simon Crothers · Kwantlen Polytechnic University · 2026
Discrete Mathematics for Information Technology is an applied, student-focused introduction to the mathematical foundations that underpin modern computing. Designed for learners in information technology and business contexts, this textbook bridges theory and practice by connecting core concepts, such as number systems, data representation, logic, proofs, relations, algorithms, Boolean algebra, and graph theory, to real-world applications in programming, networking, databases, and systems design. Each chapter is structured with clear explanations, worked examples, case studies, and programming-oriented exercises that reinforce both conceptual understanding and practical skills. Emphasis is placed on developing analytical thinking, problem-solving, and the ability to model and reason about digital systems with precision and confidence. As an open educational resource, the text is adaptable and accessible, supporting a wide range of teaching and learning environments. By integrating mathematical rigor with authentic IT scenarios, this book equips students with the essential tools needed to succeed in modern, data-driven and technology-focused careers.
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Contemporary Mathematics
Donna Kirk; Barbara Boschmans; Brian Beaudrie; Matthew Cathey · OpenStax, Rice University
Contemporary Mathematics is designed to meet the scope and sequence requirements for a liberal arts mathematics course. This resource provides stand-alone sections with a focus on showing relevance in the features as well as the examples, exercises, and exposition. Contemporary Mathematics integrates technology applications, projects, and highlights a diverse group of contributors to mathematics, statistics, and related fields.
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MATH 100 (Basic Math)
Kathy Davis · Manchester University
Basic mathematic concepts in the areas of whole numbers; mathematical operations; signed numbers; fractions and decimals; percentages and decimals; ratios and proportions; unit conversions; and roots, exponents, and scientific notation.
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Beginning Algebra
Lumen Learning
This text builds concepts and skills in preparation for student success in subsequent college math courses. Course content includes basic solving equations & inequalities, graphing, solving systems of equations & inequalities, exponents, polynomials, factoring, rational expressions, roots, and rational exponents. With an OER text, aligned OER videos, complete slides, lecture notes, and complete online assessments, this title is a great low-cost alternative to traditional publisher materials.
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Free Energy 1e (Snee)
Preston Snee · University of Illinois Chicago
What is the role of mathematics in Chemistry? We use math to reveal relationships that exist in nature that cannot be determined by any other reasonable means. Often Physical Chemistry is the last stop on the way to your degree, and you probably put this class off till last due to an irrational fear of mathematics. And while it may be true that calculus derivations are not your “thing”, if you’re good at this, you might get a better, higher paying job. So, it’s worth the effort.
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Scientific Computing
Jeffrey R. Chasnov · Hong Kong University of Science and Technology
These notes for Scientific Computing is primarily for Math majors and supposes no previous knowledge of numerical analysis or methods. This course consists of both numerical methods and computational physics. The numerical methods content includes standard topics such as IEEE arithmetic, root finding, linear algebra, interpolation and least-squares, integration, differentiation, and differential equations.
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A Second Course in Ordinary Differential Equations: Dynamical Systems and Boundary Value Problems
Russell Herman · University of North Carolina Wilmington
These are notes for a second course in differential equations, covering linear and nonlinear systems and boundary value problems.
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Math 27: Number Systems for Educators
Ashley McHale · Las Positas College
In the contents: 01: Overview of Elementary Common Core Mathematics · 1.02: The Importance of Mathematics for Elementary School Students · 2.06: Careful Use of Language in Mathematics
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College Algebra and Trigonometry- Expressions, Equations, and Graphs
Holly Carley and Ariane Masuda · New York City College of Technology
This page is under construction. The thumbnail was courtesy of https://www.freepnglogos.com/pics/under-construction. This is a work in early stages which is a reworking of College Algebra with Trigonometry. It is intended to differ in treatment from other texts on the subject.
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Combinatorics Through Guided Discovery
Kenneth P. Bogart · Dartmouth University
This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as “counting.” The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem.
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Math 3AC: Analytic Geometry and Calculus I
Kenn Huber · Irvine Valley College
A new take on the classic mathematical approach of learning Precalculus and Calculus separately, this book merges the two topics together. Using calculus notation to inspire the precalculus examples helps students of either a Precalculus or Calculus with support course.
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Elementary Number Theory
Wissam Raji · American University of Beirut
The notes contain a useful introduction to important topics that need to be addressed in a course in number theory. Proofs of basic theorems are presented in an interesting and comprehensive way that can be read and understood even by non-majors with the exception in the last three chapters where a background in analysis, measure theory and abstract algebra is required. The exercises are carefully chosen to broaden the understanding of the concepts.
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MTH 60: Algebra 1
Math Department · Clackamas Community College
This course develops core algebra skills, beginning with number sense and operations with variables, then advancing to solving equations and inequalities, interpreting and creating graphs, and working with systems of equations. Emphasis is placed on understanding relationships between quantities, modeling real-world situations, and applying logical, step-by-step problem-solving strategies.
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MATH 2514 Calculus III
LibreTexts
A standard course in multivariable calculus that starts with vectors operations and vector-valued functions, continues through functions of multiple variables, partial derivatives, multiple integration, vector fields, and vector theorems.
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MAT 2410: Calculus (Open Stax)
Jaison Novick · Prince George's Community College
This texts address a three-semester sequence of university-level calculus for a variety of majors including, but not exclusive to, science, engineering, and mathematics. It provides an introduction to single variable calculus; study of limits, continuity, differentiation and its applications, definite and indefinite integrals and the Fundamental Theorem of Calculus.
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MA148: Calculus with Applications
Benjamin Bunck · Butler Community College
MA148 - Calculus with Applications. This course will enable the student to differentiate and integrate algebraic, logarithmic and exponential functions and apply those concepts to real-world business and social-science applications, including marginal analysis. This content is a remix of the Applied Calculus text by Calaway, Hoffman, and Lippman. The primary change to the LibreText edition has been to separate the "chapter" exercise sets into smaller exercise sets for each individual section.