Mathematics

Not just for mathematicians and detectives! Learn the basics of logic and its many applications, including advanced testing, constraint solving, function composition, and code proofs. Over 50 exercises and 20 sample programs are included. No prior math background required!

If you are able to contribute, it will go to support OpenIntro (not the author), a US-based nonprofit working to spread open materials, e.g. by providing desk copies to instructors considering this text. This listing is in collaboration with the textbook's author, Jim Hefferon. Linear Algebra's official websitePaperbacks are $22openintro.org

Leanpub revenue supports OpenIntro. OpenIntro is a US-based nonprofit that provides textbook services to help increase adoption of OER textbooks and save students money. These textbook services are fully financed by Leanpub contributions on supported books. APEX Calculus website: apexcalculus.comOpenIntro website: openintro.org

This book supplements the DM for CS Specialization at Coursera and contains many interactive puzzles, autograded quizzes, and code snippets. They are intended to help you to discover important ideas in discrete mathematics on your own. By purchasing the book, you will get all updates of the book free of charge when they are released.

Stop being a syntax typist. Master Clean Code Architecture and Algorithmic Thinking to become a professional Software Architect in 2026. This blueprint teaches you to build Scalable Systems using Binary Logic, Big O Notation, and proven Software Engineering Patterns. Perfect for the modern Backend Developer, self-taught coder, and Tech Entrepreneur looking to design high-performance software from scratch.

The essentials of making predictions using supervised regression and classification for tabular data. Tech stack: python, pandas, scikit-learn, CatBoost, LightGBM, XGBoost, TabPFN, TabICL

A complete foundation for Statistics, also serving as a foundation for Data Science, that introduces inference using randomization and simulation while covering traditional methods. Leanpub revenue supports OpenIntro, so we can provide free desk copies to teachers interested in using our books in the classroom. More resources: openintro.org.

What if mathematics has been hiding in plain sight all along?A snowflake, a flower, a melody, a crowded street, a city map, a social network, or even a recommendation on your phone — they may seem completely unrelated. But underneath them are patterns, structures, probabilities, and mathematical ideas that quietly shape the world around us.Patterns We Don’t See is an accessible journey into the mathematics of everyday life. You won’t find pages of complicated formulas or a traditional textbook approach. Instead, you’ll discover why certain shapes appear in nature, how music is connected to mathematics, why coincidences feel so surprising, how cities and social networks can be understood as mathematical systems, and how algorithms and artificial intelligence learn to recognize patterns.Written from the perspective of a young engineering student, this book grew from a simple habit: looking at ordinary things and asking, “Where is the mathematics here?”The answer turns out to be: almost everywhere.If you have ever thought that mathematics was only about equations, Patterns We Don’t See invites you to look again.The world hasn’t changed. Only the way we look at it has.

Google engineers are regular expression masters. Do you want to become one, too? The Smartest Way to Learn Python Regex transforms you into a regular expression master. The book leverages an innovative learning approach: (1) read a chapter, (2) watch a course video, and (3) solve a code puzzle. It's fun!

Learn differential calculus through dual numbers and algebraic methods. An illustrated 188-page book covering derivatives, gradients, Hessians, and jets.

Aprenda a calcular derivadas por um caminho diferente: comece pela álgebra, descubra a Centelha e avance até gradientes, Hessianas e jets.