Mathematics Textbooks

You're Smarter Than You Think: Statistics

Author: Dabagh

Publisher: Safaa Dabagh

License: CC BY

You're Smarter Than You Think: Statistics is a free, openly licensed introduction to statistics written for community college students and designed from the ground up for neurodivergent and anxious learners. Every section follows the same six-step rhythm (Read This First, Let's Talk About It, Now We Name It, Watch It Work, Your Turn, Check Your Voice), and every chapter opens with a Math Skills warm-up so a missing arithmetic step never derails a big idea. The book is organized around the student learning outcomes shared by community college statistics courses: describing data, estimating with confidence, and testing claims. It covers data and sampling, graphs, center and spread, probability, distributions, the Central Limit Theorem, confidence intervals, hypothesis testing, two-sample tests, ANOVA, chi-square, and regression. Four free Technology Companions (R and RStudio, jamovi, StatCrunch, and the TI-84) carry every method into whatever software a course uses, each keyed chapter by chapter and packaged with ready-made datasets. Graphs, printable work space, answer keys, per-part formula sheets, and a cumulative final-exam prep are included throughout.

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$Read more about Discrete Mathematics for Information Technology$

Discrete Mathematics for Information Technology - First Canadian Edition

Author: Crothers

Publisher: Kwantlen Polytechnic University

License: CC BY-NC-SA

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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The Academic Language of Mathematics

Authors: Loizou, Kirkham, and Chen

Publisher: University of Leeds Open Books

License: CC BY-NC-SA

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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Read more about Business Math: A Step-by-Step Handbook

Business Math: A Step-by-Step Handbook - 2023-A-D

Author: Olivier

Publisher: Lyryx

License: CC BY-NC-SA

Business Mathematics was written to meet the needs of a twenty-first century student. It takes a systematic approach to helping students learn how to think and centers on a structured process termed the PUPP Model (Plan, Understand, Perform, and Present). This process is found throughout the text and in every guided example to help students develop a step-by-step problem-solving approach.

(2 reviews)

Yet Another Introductory Number Theory Textbook (Cryptology Emphasis Version)

Author: Poritz

Publisher: Jonathan Poritz

License: CC BY-SA

This version of YAINTT has a particular emphasis on connections to cryptology. The cryptologic material appears in Chapter 4 and §§5.5 and 5.6, arising naturally (I hope) out of the ambient number theory. The main cryptologic applications – being the RSA cryptosystem, Diffie-Hellman key exchange, and the ElGamal cryptosystem – come out so naturally from considerations of Euler’s Theorem, primitive roots, and indices that it renders quite ironic G.H. Hardy’s assertion [Har05] of the purity and eternal inapplicability of number theory. Note, however, that once we broach the subject of these cryptologic algorithms, we take the time to make careful definitions for many cryptological concepts and to develop some related ideas of cryptology which have much more tenuous connections to the topic of number theory. This material therefore has something of a different flavor from the rest of the text – as is true of all scholarly work in cryptology (indeed, perhaps in all of computer science), which is clearly a discipline with a different culture from that of “pure”mathematics. Obviously, these sections could be skipped by an uninterested reader, or remixed away by an instructor for her own particular class approach.

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Read more about First Semester in Numerical Analysis with Julia

First Semester in Numerical Analysis with Julia - 2.1

Author: Ökten

Publisher: Florida State University

License: CC BY-NC-SA

First Semester in Numerical Analysis with Julia presents the theory and methods, together with the implementation of the algorithms using the Julia programming language (version 1.1.0). The book covers computer arithmetic, root-finding, numerical quadrature and differentiation, and approximation theory. The reader is expected to have studied calculus and linear algebra. Some familiarity with a programming language is beneficial, but not required. The programming language Julia will be introduced in the book. The simplicity of Julia allows bypassing the pseudocode and writing a computer code directly after the description of a method while minimizing the distraction the presentation of a computer code might cause to the flow of the main narrative.

(3 reviews)

Answering questions with data: Introductory Statistics for Psychology Students

Author: Crump

Publisher: Crump Lab

License: CC BY-SA

This is a free textbook teaching introductory statistics for undergraduates in Psychology. This textbook is part of a larger OER course package for teaching undergraduate statistics in Psychology, including this textbook, a lab manual, and a course website. All of the materials are free and copiable, with source code maintained in Github repositories.

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Statistical Thinking for the 21st Century

Author: Poldrack

Publisher: Russell Poldrack

License: CC BY-NC

Statistical thinking is a way of understanding a complex world by describing it in relatively simple terms that nonetheless capture essential aspects of its structure, and that also provide us some idea of how uncertain we are about our knowledge. The foundations of statistical thinking come primarily from mathematics and statistics, but also from computer science, psychology, and other fields of study.

(2 reviews)

Mathematics for Biomedical Physics

Author: Wadehra

Publisher: Wayne State University Library System

License: CC BY

Mathematics for Biomedical Physics is an open access peer-reviewed textbook geared to introduce several mathematical topics at the rudimentary level so that students can appreciate the applications of mathematics to the interdisciplinary field of biomedical physics. Most of the topics are presented in their simplest but rigorous form so that students can easily understand the advanced form of these topics when the need arises. Several end-of-chapter problems and chapter examples relate the applications of mathematics to biomedical physics. After mastering the topics of this book, students would be ready to embark on quantitative thinking in various topics of biology and medicine

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College Algebra & Trigonometry

Author: Beveridge

Publisher: Richard W. Beveridge

License: CC BY-NC-SA

This College Algebra text will cover a combination of classical algebra and analytic geometry, with an introduction to the transcendental exponential and logarithmic functions. If mathematics is the language of science, then algebra is the grammar of that language. Like grammar, algebra provides a structure to mathematical notation, in addition to its uses in problem solving and its ability to change the appearance of an expression without changing the value.

(5 reviews)

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