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Category: "Mathematics"

Books

  1. The Orange Book of Machine Learning - Green edition
    The essentials of making predictions using supervised regression and classification for tabular data.
    Carl McBride Ellis

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

  2. 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!

  3. Linear Algebra
    OpenIntro and Jim Hefferon

    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

  4. APEX Calculus
    4th Edition
    OpenIntro and Gregory Hartman

    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

  5. Kiselev’s Algebra, Part I — A Complete English Translation
    The legendary Russian/USSR mathematics textbook, translated for the first time in its complete and unabridged form
    Valery Manokhin

    The most successful algebra textbook in history — now in English for the first time.

  6. Discrete Mathematics for Computer Science
    Alexander S. Kulikov, Alexander Golovnev, Alexander Shen, Vladimir Podolskii, and Marie Brodsky

    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.

  7. Introductory Statistics with Randomization and Simulation
    OpenIntro, David Diez, Mine Cetinkaya-Rundel, and Christopher Barr

    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.

  8. 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.

  9. Applied Mathematics for the Modern World
    A Guide to the Math That Powers AI, Data Science, Finance, and Everyday Life
    PR

    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.

  10. Consciousness-First Cosmogenesis: Research Corpus
    The Formal Technical Apparatus of the CFC Framework
    Michael E Shorter

    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.

  11. Mathematics for the IGCSE
    and a bit more
    Lucas Virgili

    If you need some extra help with learning the IGCSE Mathematics syllabus, or want to see content more in depth, this is the book for you!

  12. The Smartest Way to Learn Python Regular Expressions
    Learn the Best-Kept Productivity Secret of Code Masters
    Finxter, Zohaib Riaz, and Lukas Rieger

    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!

  13. Coherent Mathematics
    From Physical Observation to Mathematical Structure
    Jens Deutschmann

    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

  14. Fractal Uncertainty Theory
    From Space and Time to Quarks to the Cosmic Web
    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

  15. Textaufgaben endlich verstehen
    So verstehst du jede Aufgabe und weißt sofort, was zu tun ist
    Meike Iwanek

    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.