Books

Logic is the most important branch of math to software engineering. Knowing logic opens up a vast world of development techniques, from everyday tricks of the trade to exotic tools for cracking impossible tasks. This book teaches the basics of logic and nine special logic-powered techniques: property testing, decision tables, constraint solving, and more. Over 50 exercises are provided to help readers master the material. No prior math background required!

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

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

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.

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

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.

This book is the resource the author wishes he’d had when he began his own journey into general relativity later in life. It provides a carefully engineered learning path for the committed self learner, designed to illuminate the specific topics needed to finally achieve a deeper understanding.

This book reveals the essential mathematics powering AI, data science, and finance, making complex concepts accessible and exciting for every reader. Discover the practical applications of math that are already influencing your daily life.

The complete formal and technical apparatus of Consciousness-First Cosmogenesis — a modern metaphysical research program treating consciousness as ontologically fundamental. Twenty documents in one compiled volume: seven-layer ontology, category-theoretic mathematical framework, canonical definitions, embodiment architecture, time philosophy, ethics, and unificatory extensions into four applied domains. The technical companion to the CFC trade book.

Coherent Mathematics (CoMath) — Mathematics That Earns Its StructureWhat if mathematics did not precede physics — but emerged from it?Conventional mathematics assumes its foundations: sets, numbers, operations. Coherent Mathematics (CoMath) assumes only one thing: coherence is not given. Coherence is what survives.From this single axiom, CoMath reconstructs the mathematical universe bottom-up. Numbers, geometry, iteration, and the exponential structure are not postulated — they are derived. The constants of nature are not inserted — they follow. The chain is complete:Geometry → Iteration → Planck Scale → Constants → Time → Schrödinger → Quantum MechanicsZero free parameters. No circular reasoning. No unjustified axioms.CoMath V4 presents:A rigorous axiomatic foundation built on coherence as the sole primitiveDerivation of π, φ, e, ln, and exp from pure iteration structureThe Planck-to-electron mass ratio m_P/m_e from geometry aloneA new perspective on Riemann, Hodge, and the foundations of formal mathematicsDeveloped in direct collaboration between human intuition and AI formalizationThis is not mathematics applied to physics. This is mathematics derived from the structure of reality. "Real science begins with a thought, not an equation." — Jens Deutschmann

Fractal Uncertainty Theory (FUT) — A New Foundation of PhysicsSunflower, quasicrystal, spiral galaxy, cosmic web — they all do the same thing.What if quantum mechanics, gravitation, the fundamental constants, and the large-scale structure of the universe all follow a single principle? Not as a metaphor — but mathematically derivable, with zero free parameters?Fractal Uncertainty Theory (FUT) constructs physics from two primitive operations: Rotation (ℛ) and Recursion (ℱ). From their interference emerge π and φ, the four forces as a unified spectrum, the fine-structure constant α = 1/137, the Planck scale, the Schrödinger equation — and six resolved Millennium Problems.FUT V9 presents across 478 pages and 35 chapters:Derivation of fundamental constants from pure geometry (zero free parameters)Dark energy and dark matter as consequences of the Void Exponential Feedback mechanismThree spatial dimensions + time from icosahedral A₅ symmetryThe Higgs-centered particle structure as a periodic systemRigorously documented progress on Riemann, Yang-Mills, Hodge, P≠NP, and beyondNo speculative model. No retroactively fitted constants. A theory that begins with a thought — and ends with testable predictions. "Real science begins with a thought, not an equation." — Jens Deutschmann ISBN 978-3-9828681-0-3 | Available on Amazon KDP

Aus Unsicherheit wird Klarheit: Dieses Buch zeigt dir eine einfache Methode, mit der du Textaufgaben Schritt für Schritt verstehst und sicher in Mathematik übersetzt. So wirst du unabhängig und sicher im Umgang mit jeder Aufgabe.

The Calculus of Optimality is a technical manual dedicated to the precise execution of optimization. It provides a structured, step-by-step working methods for investigating functions, moving from foundational principles to advanced multivariate constraints.This guide is designed for those who seek a reliable protocol to identify and classify extremal points in complex mathematical systems.

Know Your Numbers gives founders the clarity to see what is really happening behind revenue, growth, and momentum. When you understand CAC, conversion, gross margin, churn, payback, runway, and cash burn, you stop guessing and start deciding like an owner.

What if mathematics trained the mind instead of the hand? 1001 Problems for Mental Calculation is the first complete English translation of Sergey Rachinsky’s classic, a remarkable collection of problems designed to build number sense, mental discipline, and real mathematical thinking.