Книги

CS

algorithms

• Algorithms by Jeff Erickson: https://jeffe.cs.illinois.edu/teaching/algorithms/, http://algorithms.wtf, https://github.com/jeffgerickson/algorithms, https://archive.org/details/Algorithms-Jeff-Erickson
• Analysis and Design of Algorithms - Sandeep Sen
• Class notes for graduate algorithms class - Sariel Har-Peled
• Class notes for Randomized Algorithms - Sariel Har-Peled
• Elementary Functional Algorithms - Liu Xinyu
• Handbook of Exact String Matching Algorithms
• Notes on Randomized Algorithms - James Aspnes: https://www.cs.yale.edu/homes/aspnes/classes/469/, https://arxiv.org/abs/2003.01902
• Text Algorithms - M. Crochemore and W. Rytter
• The Computer Science Handbook
• AlgoWiki
• Dictionary of Algorithms and Data Structures
• The Arcane Algorithm Archive: https://www.algorithm-archive.org/, https://github.com/algorithm-archivists/algorithm-archive

database

• Architecture of a Database System: https://dsf.berkeley.edu/jmh/, https://db.cs.berkeley.edu/papers/fntdb07-architecture.pdf
• Database Design - Gio Wiederhold
• Developing Time-Oriented Database Applications in SQL, Richard T. Snodgrass
• Foundations of Databases - Abiteboul, Hull, Vianu: http://webdam.inria.fr/Alice/, https://webdam.di.ens.fr/Alice/
• Temporal Database Management by Christian S. Jensen
• The Theory of Relational Databases, David Maier
• Основы технологий баз данных - Б. А. Новиков, Е. А. Горшкова, Н. Г. Графеева
• Путеводитель по базам данных - Комаров

graphics

• An Introduction to Ray Tracing: https://www.realtimerendering.com/blog/an-introduction-to-ray-tracing-is-now-free-for-download/, https://www.realtimerendering.com/raytracing/An-Introduction-to-Ray-Tracing-The-Morgan-Kaufmann-Series-in-Computer-Graphics-.pdf, https://www.realtimerendering.com/raytracing/Andrew%20S.%20Glassner%20-%20An%20Introduction%20to%20Ray%20tracing%20(The%20Morgan%20Kaufmann%20Series%20in%20Computer%20Graphics)%20(1989).djvu
• Physically Based Rendering
• Principles of Digital Image Synthesis: https://www.realtimerendering.com/blog/principles-of-digital-image-synthesis-now-free-for-download/, https://www.glassner.com/portfolio/principles-of-digital-image-synthesis/, https://realtimerendering.com/Principles_of_Digital_Image_Synthesis_v1.0.1.pdf
• Radiosity and Realistic Image Synthesis: https://www.realtimerendering.com/blog/two-classic-radiosity-books-now-free/, https://www.realtimerendering.com/Cohen-Wallace_Radiosity_and_Realistic_Image_Synthesis.pdf

languages

• Basics of Compiler Design
• Compiler Construction, Niklaus Wirth
• Compiler Design in C
• Data Structure Optimization for Functional Programs
• Functional Data Structures - Prabhakar Ragde
• Implementing functional languages: a tutorial
• Interpreting Lisp
• Introduction to Functional Programming - John Harrison
  • Introduction to Functional Programming - John Harrison
  • Введение в функциональное программирование - Д. Харрисон: https://funprog-ru.github.io/, https://github.com/funprog-ru/funprog-ru
• Principles of Programming Languages - Scott F. Smith
• Programming Languages: Application and Interpretation
• Static Program Analysis - Anders Møller and Michael I. Schwartzbach
• The Implementation of Functional Programming Languages: https://simon.peytonjones.org/slpj-book-1987/, https://www.microsoft.com/en-us/research/publication/the-implementation-of-functional-programming-languages-2/
• Type Theory and Functional Programming
• Warren's Abstract Machine: A Tutorial Reconstruction: https://github.com/a-yiorgos/wambook, https://adamo.wordpress.com/2009/07/06/warrens-abstract-machine-a-tutorial-reconstruction/, https://wambook.sourceforge.net/
• Интерпретация Лиспа и Scheme: https://github.com/ilammy/lisp, https://ilammy.github.io/lisp/

operating systems

• An operating systems Vade Mecum: https://www.cs.uky.edu/~raphael/, ftp://ftp.cs.uky.edu/cs/manuscripts/vade.mecum.2.pdf, ftp://ftp.cs.uky.edu/cs/manuscripts/vade.mecum.2.ps, ftp://ftp.cs.uky.edu/cs/manuscripts/vade.mecum.2.tar.gz
• Communicating Sequential Processes
• Operating System: From 0 to 1: https://tuhdo.github.io/os01/, https://github.com/tuhdo/os01
• Operating Systems: Three Easy Pieces
• Operating Systems and Middleware: Supporting Controlled Interaction: https://gustavus.edu/mcs/max/os-book/, https://github.com/Max-Hailperin/Operating-Systems-and-Middleware--Supporting-Controlled-Interaction
• Practical File System Design with the Be File System
• The Design and Implementation of the Ulix Operating System: http://ulixos.org/, https://github.com/hgesser/ulix
• The little book about OS development: https://littleosbook.github.io/, https://github.com/littleosbook/littleosbook/

parallel

• CSci 493.65 Parallel Computing
• Distributed Algorithms - Jukka Suomela: https://jukkasuomela.fi/da2020/, https://github.com/suomela/da2020
• Introduction to Parallel Computing
• Notes on Theory of Distributed Systems: https://www.cs.yale.edu/homes/aspnes/classes/465/, https://arxiv.org/abs/2001.04235
• Parallel Algorithms - Henri Casanova, Arnaud R Legrand, Yves Robert
• Parallel and Distributed Computation:Numerical Methods
• Programming on Parallel Machines; GPU, Multicore, Clusters and More: https://heather.cs.ucdavis.edu/parprocbook, https://heather.cs.ucdavis.edu/~matloff/158/PLN/
• Sequential and Parallel Data Structures and Algorithms
• The Art of HPC: https://theartofhpc.com/, https://github.com/VictorEijkhout/TheArtofHPC_pdfs, https://web.corral.tacc.utexas.edu/CompEdu/pdf/stc/

other

• Building Blocks for Theoretical Computer Science
• Communication Complexity (for Algorithm Designers): https://timroughgarden.org/w15/w15.html, https://arxiv.org/abs/1509.06257
• Computability and Complexity from a Programming Perspective
• Computer Science from the Bottom Up: https://www.bottomupcs.com/, https://github.com/ianw/bottomupcs
• CS 373: (Intro to) Theory of Computation
• Data Compression Explained
• Delftse Foundations of Computation
• Designing Digital Circuits by Turner
• Discrete Mathematics in Computer Science
• Foundations of Computation
• Foundations of Computer Science - Al Aho and Jeff Ullman
• Hints and Principles for Computer System Design
• Introduction to Computing
• Introduction to Embedded Systems - Lee and Seshia: https://ptolemy.berkeley.edu/books/leeseshia/ https://LeeSeshia.org
• Introduction to Theoretical Computer Science: https://introtcs.org/, https://github.com/boazbk/tcs
• Mathematics and Computation - Avi Wigderson
• Mathematics for Computer Science: https://courses.csail.mit.edu/6.042/spring18/, https://learning-modules.mit.edu/materials/index.html?uuid=/course/6/sp18/6.042, https://courses.csail.mit.edu/6.042/spring18/mcs.pdf
• Matters Computational
• Models Of Computation: http://www.modelsofcomputation.org, https://cs.brown.edu/people/jes/book/
• Modern Computer Arithmetic: https://maths-people.anu.edu.au/~brent/pub/pub226.html, https://members.loria.fr/PZimmermann/mca/pub226.html
• Notes on Computational Complexity Theory
• Principles of Computer System Design
• Search Engines Information Retrieval in Practice
• The Computer Science of TeX and LaTeX: https://eijkhout.net/tex/tex-activities.html, https://bitbucket.org/VictorEijkhout/tex-latex-science-book/src/master/
• The Most Complex Machine
• Theory of Computation - Jim Hefferon: https://hefferon.net/computation/index.html, https://joshua.smcvt.edu/computation/, https://gitlab.com/jim.hefferon/toc
• Topics In Computer Organization
• Memory Management Reference
• Papers We Love: https://paperswelove.org/, https://github.com/papers-we-love/papers-we-love
• https://okmij.org/ftp/

документация

C and C++

• C
  • ISO C Working Group
  • https://www.iso-9899.info/
  • An Introduction to the C Programming Language and Software Design
  • A cheatsheet of modern C language and library features
• C++
  • The C++ Standards Committee
  • Standard C++
  • https://github.com/cplusplus/draft
  • C++ Annotations: https://fbb-git.gitlab.io/cppannotations/, https://gitlab.com/fbb-git/cppannotations, https://gitlab.com/fbb-git/cppannotations-zip
  • A cheatsheet of modern C++ language and library features
  • Awesome Modern C++: https://awesomecpp.com/, https://github.com/rigtorp/awesome-modern-cpp
  • hacking C++
  • Modern C++ Tutorial - Changkun Ou: https://changkun.de/modern-cpp/, https://github.com/changkun/modern-cpp-tutorial
• cppreference: https://en.cppreference.com/w/, https://github.com/PeterFeicht/cppreference-doc
• Writing a C library: 0, 1, 2, 3, 4, 5

Git

• Flight rules for Git, Правила полета на Git
• Git Internals
• Git Magic, Волшебство Git, Git Magic, Волшебство Git, https://github.com/blynn/gitmagic
• Pro Git: https://git-scm.com/book/, https://github.com/progit

Markdown

• Daring Fireball: Markdown
• CommonMark

network

• An Introduction to Computer Networks
• Beej's Guide to Network Programming: https://beej.us/guide/bgnet/, https://github.com/beejjorgensen/bgnet
• Communication Networks
• Computer Networking: Principles, Protocols and Practice: https://www.computer-networking.info/, https://github.com/cnp3/ebook
• Computer Networks: A Systems Approach: https://book.systemsapproach.org/, https://github.com/SystemsApproach/book
• Introduction to Networking: How the Internet Works: https://www.dr-chuck.com/net-intro/, https://www.net-intro.com/, https://github.com/csev/net-intro

OCaml

• Developing applications with Objective Caml
• OCaml Cheat Sheets: https://ocamlpro.github.io/ocaml-cheat-sheets/, https://github.com/OCamlPro/ocaml-cheat-sheets
• OCaml From the Ground Up: https://ocamlbook.org/, https://github.com/dmbaturin/ocaml-book
• OCaml Programming: Correct + Efficient + Beautiful: https://cs3110.github.io/textbook/, https://www.cs.cornell.edu/courses/cs3110, https://github.com/cs3110/textbook
• Real World OCaml: https://dev.realworldocaml.org/, https://github.com/realworldocaml/book
• Unix system programming in OCaml: https://ocaml.github.io/ocamlunix/, https://github.com/ocaml/ocamlunix/
• Using, Understanding, and Unraveling The OCaml Language: https://caml.inria.fr/pub/docs/u3-ocaml/, https://pauillac.inria.fr/~remy/cours/appsem/

Rust

• official
  • Rust by Example
    • Rust by Example: https://doc.rust-lang.org/rust-by-example/, https://github.com/rust-lang/rust-by-example
    • Rust на примерах: https://doc.rust-lang.ru/stable/rust-by-example/, https://github.com/rust-lang-ru/rust-by-example
  • The Cargo Book
    • The Cargo Book: https://doc.rust-lang.org/cargo/, https://github.com/rust-lang/cargo/tree/master/src/doc
    • Cargo - менеджер пакетов для языка программирования Rust: https://rurust.github.io/cargo-docs-ru/, https://github.com/rust-lang-ru/cargo-docs-ru
  • Command Line Applications in Rust: https://rust-cli.github.io/book/, https://github.com/rust-cli/book
  • The Rust Programming Language
    • The Rust Programming Language: https://doc.rust-lang.org/book/, https://github.com/rust-lang/book
    • Язык программирования Rust: https://doc.rust-lang.ru/book/, https://github.com/rust-lang-ru/book
  • Rust Cookbook
    • Cookin' with Rust: https://rust-lang-nursery.github.io/rust-cookbook/, https://github.com/rust-lang-nursery/rust-cookbook
    • Как "готовить" Rust: https://doc.rust-lang.ru/rust-cookbook/, https://github.com/rust-lang-ru/rust-cookbook
  • The Rust Standard Library
  • The Rust Reference: https://doc.rust-lang.org/reference/index.html, https://github.com/rust-lang/reference
  • The Rustonomicon
    • The Rustonomicon: https://doc.rust-lang.org/nomicon/, https://github.com/rust-lang/nomicon
    • Растономикон: https://doc.rust-lang.ru/stable/nomicon/, https://github.com/rust-lang-ru/rustonomicon
  • Asynchronous Programming in Rust
    • Asynchronous Programming in Rust: https://rust-lang.github.io/async-book/, https://github.com/rust-lang/async-book
    • Асинхронное программирование в Rust: https://doc.rust-lang.ru/async-book/, https://github.com/rust-lang-ru/async-book
  • Rust API Guidelines: https://rust-lang.github.io/api-guidelines/, https://github.com/rust-lang/api-guidelines
• Cheat Sheet
  • https://cheats.rs/, https://github.com/ralfbiedert/cheats.rs/
  • Rust String Conversions
  • Rustic Symmetries
  • The Periodic Table of Rust Types
  • Rust Iterator Cheat Sheet
• Rust for the Polyglot Programmer: https://www.chiark.greenend.org.uk/%7Eianmdlvl/rust-polyglot/, https://salsa.debian.org/iwj/rust-polyglot/
• The Rust Performance Book: https://nnethercote.github.io/perf-book/, https://github.com/nnethercote/perf-book
• Basic Rust iterator usage
• Good Practices for Writing Rust Libraries
• Effective Rust: https://effective-rust.com/, https://www.lurklurk.org/effective-rust/
• Rust Design Patterns: https://rust-unofficial.github.io/patterns/, https://github.com/rust-unofficial/patterns
• Secure Rust Guidelines: https://anssi-fr.github.io/rust-guide/, https://github.com/ANSSI-FR/rust-guide
• Rust Atomics and Locks
• The Little Book of Rust Books: https://lborb.github.io/book/, https://github.com/lborb/book

Scheme

• R6RS
• R7RS: https://github.com/johnwcowan/r7rs-work/blob/master/R7RSHomePage.md, https://small.r7rs.org/, https://r7rs.org/, http://trac.sacrideo.us/wg/wiki/R7RSHomePage, https://codeberg.org/scheme/r7rs
• Scheme Reports
• An Introduction to Scheme and its Implementation
• Teach Yourself Scheme in Fixnum Days: https://ds26gte.github.io/tyscheme/, https://github.com/ds26gte/tyscheme
• The Scheme Programming Language

TeX

• A Simplified Introduction to LaTeX
• Arbitrary LaTeX reference
• Obsolete classes and packages
• The not so Short Introduction to LaTeX: https://tobi.oetiker.ch/lshort/, https://github.com/oetiker/lshort
• Компьютерная типография LaTeX
• Набор и верстка в пакете LaTeX

Unix

• POSIX
• Filesystem Hierarchy Standard
• Advanced Linux Programming: https://sourcerytools.github.io/advancedlinuxprogramming/, https://github.com/SourceryTools/advancedlinuxprogramming/tree/master
• ArchWiki
• Gentoo wiki
• Bash Guide: https://mywiki.wooledge.org/BashGuide, https://guide.bash.academy/, https://github.com/lhunath/guide.bash.academy
• Beej's Guide to Unix Interprocess Communication: https://beej.us/guide/bgipc/, https://github.com/beejjorgensen/bgipc
• The Art of Unix Programming
• The Debian Administrator's Handbook
• The Linux Command Line: https://linuxcommand.org/tlcl.php, https://sourceforge.net/projects/linuxcommand/
• The UNIX-HATERS Handbook: https://www.simson.net/ref/ugh.pdf, https://archive.org/details/TheUnixHatersHandbook
• UNIX Application and System Programming

Vim

• https://vimhelp.org/, https://github.com/c4rlo/vimhelp
• A Byte of Vim: https://vim.swaroopch.com/, https://github.com/swaroopch/byte-of-vim
• Learn Vim (the Smart Way)
• The Vim Tutorial and Reference
• Vim Tips Wiki

other

• POSIX Threads Programming: https://hpc-tutorials.llnl.gov/posix/, https://github.com/LLNL/HPC-Tutorials/blob/main/posix/index.md
• Understanding Open Source and Free Software Licensing
• http://citforum.ru/
• Freely available programming books: https://ebookfoundation.github.io/free-programming-books/, https://github.com/EbookFoundation/free-programming-books
• https://www.ossblog.org/opensourcebooks/
• Learn X in Y Minutes: https://learnxinyminutes.com/, https://github.com/adambard/learnxinyminutes-docs
• LicenseIT
• Falsehoods Programmers Believe in
• Computer Language Notes
• Cheat Sheets for Developers: https://cheatsheets.zip/, https://github.com/Fechin/reference

математика

algebra

• Knapp
  • Basic Algebra by Knapp
  • Advanced Algebra by Knapp
• Paul Garrett
  • Intro to Abstract Algebra - Paul Garrett
  • Abstract Algebra - Paul Garrett
• A Course in Universal Algebra
• Abstract Algebra: Theory and Applications: https://github.com/twjudson/aata, http://abstract.pugetsound.edu/, http://abstract.ups.edu/
• Elementary Abstract Algebra - W. Edwin Clark

analysis

• Knapp
  • Basic Real Analysis by Knapp
  • Advanced Real Analysis by Knapp
• Ray Mayer
  • Math 111 (Calculus) - Ray Mayer
  • Math 112 (Introduction to Analysis) - Ray Mayer
• Shlomo Sternberg
  • Theory of Functions of real variable, Shlomo Sternberg
  • Advanced Calculus, Shlomo Sternberg
• APEX Calculus: https://www.apexcalculus.com/, https://github.com/APEXCalculus
• Applied Analysis by John Hunter and Bruno Nachtergaele: https://www.math.ucdavis.edu/~hunter/book/pdfbook.html, https://www.math.ucdavis.edu/~hunter/book/psbook.html
• Basic Analysis: Introduction to Real Analysis: https://www.jirka.org/ra/, https://github.com/jirilebl/ra
• Elementary Calculus: An Infinitesimal Approach
• Introduction to Analysis - John K. Hunter
• Introduction to Mathematical Analysis I - Beatriz Lafferriere, Gerardo Lafferriere, Mau Nam Nguyen
• Introduction to Real Analysis, William F. Trench
• Mathematical Analysis by Elias Zakon: http://www.trillia.com/zakon-analysisI.html, http://www.trillia.com/zakon-analysisII.html
• Measure, Integration & Real Analysis
• The Calculus of Functions of Several Variables
• Vector Calculus by Michael Corral
• Yet Another Calculus Text

coding

• A Painless Guide to CRC Error Detection Algorithms
• Error-Correction Coding and Decoding
• Essential Coding Theory
• The Mathematics of Coding: Information, Compression, Error Correction, and Finite Fields

combinatorics

• Algebraic Combinatorics - Richard P. Stanley
• Analytic Combinatorics
• Applied Combinatorics - Keller, Trotter: https://www.appliedcombinatorics.org/appcomb/, https://rellek.net/book/app-comb.html, https://github.com/mitchkeller/applied-combinatorics/
• Combinatorics Through Guided Discovery: https://bogart.openmathbooks.org/, https://github.com/OpenDiscreteMath/ibl-combinatorics, https://math.dartmouth.edu/news-resources/electronic/kpbogart/

communication

• A Foundation in Digital Communication

differential equations

• Elementary Differential Equations with Boundary Value Problems, William F. Trench
• Notes on Diffy Qs: Differential Equations for Engineers: https://www.jirka.org/diffyqs/, https://github.com/jirilebl/diffyqs
• Ordinary Differential Equations - Gabriel Nagy
• Ordinary Differential Equations - Stephen Wiggins
• PDE COFFEE TABLE BOOK

discrete

• A Course in Discrete Structures - R. Pass and W. Tseng: https://www.cs.cornell.edu/courses/cs2800/2013sp/, https://www.cs.cornell.edu/~rafael/, https://www.cs.cornell.edu/~rafael/discmath.pdf
• Applied Discrete Structures: https://discretemath.org/, https://github.com/klevasseur/ads/
• Discrete Mathematics: An Open Introduction: https://discrete.openmathbooks.org/, https://github.com/oscarlevin/discrete-book
• Notes on Discrete Mathematics - Aspnes

DSP

• An Introduction to Statistical Signal Processing
• Signal Computing: Digital Signals in the Software Domain: https://faculty.washington.edu/stiber/pubs/Signal-Computing/, https://stiber.github.io/Signal-Computing/, https://github.com/stiber/Signal-Computing, https://open.umn.edu/opentextbooks/textbooks/328
• Structure and Interpretation of Signals and Systems - Lee and Varaiya

Fourier

• An Introduction to Fourier Analysis
• Fast Fourier Transforms - C. Sidney Burrus: https://archive.org/details/cnx-org-col10550, https://archive.org/details/cnx-org-col10683, https://github.com/cnx-user-books/cnxbook-fast-fourier-transforms, https://cnx.org/contents/gua6b7go@22.1:-1XsePkH@10/Preface-Fast-Fourier-Transforms, https://open.umn.edu/opentextbooks/textbooks/261

game theory

• Bonanno
  • Game Theory - Giacomo Bonanno: https://faculty.econ.ucdavis.edu/faculty/bonanno/GT_Book.html, https://arxiv.org/abs/1512.06808, https://archive.org/details/1512.06808v1
  • Decision Making
• Computational Game Theory - Christopher Griffin

Geometry

• Discrete Differential Geometry: An Applied Introduction
• Euclidean plane and its relatives: https://anton-petrunin.github.io/birkhoff/, https://github.com/anton-petrunin/birkhoff, https://arxiv.org/abs/1302.1630
• ENCYCLOPEDIA OF TRIANGLE CENTERS
• Math and the Art of M. C. Escher
• The first six books of the Elements of Euclid - Oliver Byrne: https://github.com/jemmybutton/byrne-euclid, https://jemmybutton.livejournal.com/

graph theory

• Algorithmic Graph Theory and Sage
• Extra pearls in graph theory: https://anton-petrunin.github.io/graph-theory/, http://arxiv.org/abs/1812.06627, https://github.com/anton-petrunin/graph-theory
• Graph and Network Algorithms - Christopher Griffin
• Graph Theory - Reinhard Diestel
• Handbook of Graph Drawing and Visualization

linear algebra

• A First Course in Linear Algebra - Robert A. Beezer: https://github.com/rbeezer/fcla, http://linear.pugetsound.edu/, http://linear.ups.edu/
• Basic Linear Algebra - Andrew Baker
• Comprehensive Introduction to Linear Algebra
• Elementary Linear Algebra by Keith Matthews
• Intermediate Linear Algebra - Christopher Griffin
• Introduction to Applied Linear Algebra – Vectors, Matrices, and Least Squares
• Linear Algebra by David Cherney, Tom Denton and Andrew Waldron
• Linear Algebra - Gabriel Nagy
• Linear Algebra, Jim Hefferon: https://hefferon.net/linearalgebra/, http://joshua.smcvt.edu/linearalgebra/, https://gitlab.com/jim.hefferon/linear-algebra
• Linear Algebra - As an Introduction to Abstract Mathematics
• Linear Algebra Done Right: https://link.springer.com/book/10.1007/978-3-031-41026-0, https://linear.axler.net/
• Linear Algebra Done Wrong: https://sites.google.com/a/brown.edu/sergei-treil-homepage/linear-algebra-done-wrong, https://www.math.brown.edu/streil/papers/LADW/LADW.html
• Linear Algebra via Exterior Products
• Matrix Theory and Linear Algebra: https://www.mathstat.dal.ca/~selinger/linear-algebra/, https://github.com/selinger/linear-algebra

logic

• A Concise Introduction to Logic
• A Friendly Introduction to Mathematical Logic: https://knightscholar.geneseo.edu/geneseo-authors/6/, https://milneopentextbooks.org/a-friendly-introduction-to-mathematical-logic/
• An Introduction to Formal Logic
• An Introduction to Gödel’s Theorems
• Elements of Deductive Logic
• forall x: https://www.fecundity.com/logic/, https://github.com/OpenLogicProject/forallx
• The Open Logic Project: https://openlogicproject.org/, https://github.com/OpenLogicProject/OpenLogic

matrix

• Fundamentals of Matrix Algebra by Gregory Hartman: https://www.vmi.edu/academics/departments/applied-mathematics/affordable-textbooks-apex/, https://github.com/APEXCalculus
• Gantmacher - The Theory of Matrices: https://archive.org/details/gantmacher-the-theory-of-matrices-vol-1-1959, https://archive.org/details/gantmacher-the-theory-of-matrices-vol-2-1959/
• Introduction to Matrix Algebra: https://autarkaw.com/books/matrixalgebra/index.html, https://ma.mathforcollege.com/textbook/index.html
• Matrix Analysis and Algorithms: https://authors.library.caltech.edu/records/mf2kc-m5915, https://resolver.caltech.edu/CaltechAUTHORS:20161110-160355297

number theory

• William A. Stein
  • Elementary Number Theory: Primes, Congruences, and Secrets: https://wstein.org/books/ent/, https://github.com/williamstein/ent
  • Algebraic Number Theory, a Computational Approach: https://wstein.org/books/ant/, https://github.com/williamstein/ant
• An Introduction to the Theory of Numbers by Leo Moser
• An Introductory Course in Elementary Number Theory, by Wissam Raji
• Elementary Number Theory - W. Edwin Clark

numerical

• Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations
• Finite Difference Computing with Exponential Decay Models
• Finite Difference Computing with PDEs
• Fundamental Numerical Methods and Data Analysis
• Introduction to Mathematical Modeling - Christopher Griffin
• Non-Uniform Random Variate Generation: http://luc.devroye.org/rnbookindex.html, http://www.nrbook.com/devroye/
• Numerical Algorithms - Justin Solomon

optimization

• Convex Optimization – Boyd and Vandenberghe
• Linear Programming - Christopher Griffin
• Numerical Optimization - Christopher Griffin

probability and statistics

• A Course on Elementary Probability Theory: https://arxiv.org/abs/1703.09648, https://dx.doi.org/10.16929/sbs/2016.0003
• Advanced High School Statistics: https://www.openintro.org/book/ahss/, https://github.com/OpenIntroOrg/advanced-high-school-statistics
• Foundations of the Theory of Probability by A. N. Kolmogorov: https://mathematik.com/Kolmogorov/, https://mirtitles.org/2022/02/27/foundations-of-the-theory-of-probability-kolmogorov/, https://archive.org/details/kolmogorov_202112
• Introduction to Statistical Thought
• Lies, Damend Lies, or Statistics
• Mathematical Foundations of Probability Theory: https://arxiv.org/abs/1808.01713, https://dx.doi.org/10.16929/sbs/2016.0008
• OpenIntro Statistics: https://www.openintro.org/book/os/, https://github.com/OpenIntroOrg/openintro-statistics
• Principles of Uncertainty
• Probability: Theory and Examples
• Probability and Statistics Cookbook: http://statistics.zone/, https://github.com/mavam/stat-cookbook
• Probability Theory and Stochastic Processes with Applications
• Statistics Done Wrong

proof

• Book of Proof: https://richardhammack.github.io/BookOfProof/, https://www.people.vcu.edu/~rhammack/BookOfProof/
• Constructing and Writing Proofs: https://www.tedsundstrom.com/proofs, https://scholarworks.gvsu.edu/books/23/
• Mathematical Reasoning: Writing and Proof: https://www.tedsundstrom.com/mathematical-reasoning-3, https://scholarworks.gvsu.edu/books/24/
• Proofs and Concepts

tensor

• Introduction to tensor calculus
• Tensor Calculus - Taha Soch

Trigonometry

• Trigonometry by Michael Corral
• Trigonometry by Ted Sundstrom and Steven Schlicker: https://www.tedsundstrom.com/trigonometry, https://scholarworks.gvsu.edu/books/12/

other

• A Computational Introduction to Number Theory and Algebra
• A gentle introduction to the art of mathematics: https://osj1961.github.io/giam/, https://github.com/osj1961/giam, http://giam.southernct.edu/GIAM/
• Abramowitz and Stegun: Handbook of Mathematical Functions: https://personal.math.ubc.ca/~cbm/aands/, https://www.iopb.res.in/~somen/abramowitz_and_stegun/, https://www.cs.bham.ac.uk/~aps/research/projects/as/, https://www.convertit.com/Go/ConvertIt/Reference/AMS55.asp, http://www.nrbook.com/abramowitz_and_stegun_html/, http://www.nrbook.com/aands/
• Advanced High-School Mathematics
• Algebra and Number Theory - Andrew Baker
• An infinite descent into pure mathematics: https://infinitedescent.xyz/, https://gitlab.com/cnewstead/infdesc
• An Infinitely Large Napkin: https://web.evanchen.cc/napkin.html, https://blog.evanchen.cc/napkin/, https://github.com/vEnhance/napkin/, https://venhance.github.io/napkin/
• Applied Mathematics: Methods and Models
• Basic Concepts of Mathematics by Elias Zakon
• Derivations of Applied Mathematics
• Encyclopedia of Mathematics
• Entropy and Information Theory
• Introduction to Combinatorics and Graph Theory
• Lists, Decisions, and Graphs
• Mathematical Surprises: https://www.weizmann.ac.il/sci-tea/benari/books-1, https://link.springer.com/book/10.1007/978-3-031-13566-8, https://github.com/motib/surprises
• Mathematics formulary
• Some Fundamental Theorems in Mathematics
• Topics in Applied Mathematics, by Charles Chui
• Tunneling Through the Math Barrier

библиотеки

• https://www.mccme.ru/free-books/
• Free Math Resources
• Approved Textbooks

физика

• electromagnetism
  • Classical Electromagnetism By Richard Fitzpatrick
  • David Tong: Lectures on Electromagnetism
  • The Principles Of Electrodynamics - Matveyev
  • Electricity And Magnetism - Matveyev
• mechanics
  • Analytical Elements of Mechanics - Kane: https://ecommons.cornell.edu/items/68b493d0-fac5-41ac-af87-53ddc7317b57, https://ecommons.cornell.edu/items/fdc5975a-0633-40d4-a941-05aa7712f138
  • Classical Mechanics By Richard Fitzpatrick
  • David Tong: Lectures on Classical Dynamics
  • Dynamics, Theory and Applications - Kane
  • Newtonian Dynamics By Richard Fitzpatrick
  • Variational Principles in Classical Mechanics by Douglas Cline
• optics
  • Discussions On Refraction Of Light
  • Optics - Matveyev
  • Physics of Light and Optics
• quantum
  • Basic Concepts of Quantum Mechanics – Tarasov: https://archive.org/details/tarasov-basic-concepts-of-quantum-mechanics-2021, https://gitlab.com/mirtitles/tarasov-qm, https://archive.org/details/BasicConceptsOfQuantumMechanics
  • In Search of Quantum Reality - John Boccio
  • Quantum Mechanics By Richard Fitzpatric
  • The Cellular Automaton Interpretation of Quantum Mechanics
• statistics
  • David Tong: Lectures on Kinetic Theory
  • David Tong: Lectures on Statistical Physics
  • Thermodynamics and Statistical Mechanics By Richard Fitzpatrick
• A Radically Modern Approach to Introductory Physics
• David Tong: Lectures on Dynamics and Relativity
• Electromagnetism and Optics By Richard Fitzpatrick
• Essential Graduate Physics - Konstantin K. Likharev: https://sites.google.com/site/likharevegp/, https://commons.library.stonybrook.edu/egp/
• Fluid Mechanics By Richard Fitzpatrick
• Mechanics And Theory Of Relativity - Matveyev
• Molecular Physics - Matveyev
• Order of Magnitude Physics, Lies and Damn Lies: The Art of Approximation in Science
• Physics Formulary
• Relativity, Spacetime, Gravity and Cosmology - John Boccio
• Theoretical Physics Reference: https://www.theoretical-physics.net/, https://github.com/certik/theoretical-physics

криптография

• A Course in Cryptography - R. Pass and A. Shelat: https://www.cs.cornell.edu/courses/cs4830/2010fa/, https://www.cs.cornell.edu/~rafael/, https://www.cs.cornell.edu/courses/cs4830/2010fa/lecnotes.pdf
• A Graduate Course in Applied Cryptography: https://toc.cryptobook.us/, https://crypto.stanford.edu/~dabo/cryptobook/
• A Salad of Block Ciphers
• A Tutorial on Linear and Differential Cryptanalysi: https://www.engr.mun.ca/~howard/Research/Papers/index.html, https://www.engr.mun.ca/~howard/PAPERS/ldc_tutorial.pdf
• An Intensive Introduction to Cryptography: https://www.intensecrypto.org/, https://github.com/boazbk/crypto
• Crypto 101: https://www.crypto101.io/, https://github.com/crypto101/book
• Cryptography, An Introduction
• Modern Cryptography - Zhiyong Zheng: https://link.springer.com/book/10.1007/978-981-19-0920-7, https://link.springer.com/book/10.1007/978-981-19-7644-5
• Practical Cryptography for Developers: https://cryptobook.nakov.com/, https://github.com/nakov/practical-cryptography-for-developers-book
• Защита информации - Габидулин, Кшевецкий, Колыбельников и Владимиров: https://vlsergey.github.io/infosec/, https://github.com/vlsergey/infosec

ai

• нейронные сети
  • A Brief Introduction to Neural Networks
  • Alice’s Adventures in a differentiable wonderland: https://www.sscardapane.it/alice-book, https://arxiv.org/abs/2404.17625
  • Deep Learning - Ian Goodfellow and Yoshua Bengio and Aaron Courville
  • Machine learning with neural networks - B. Mehlig
  • Neural Network Design
  • Neural Networks and Deep Learning
  • The Little Book of Deep Learning
  • Understanding Deep Learning: https://udlbook.github.io/udlbook/, https://udlbook.com, https://github.com/udlbook/udlbook
• learning
  • A Course in Machine Learning: http://ciml.info/, https://github.com/hal3/ciml/
  • Machine Learning. The Basics: https://alexjungaalto.github.io/, https://github.com/alexjungaalto/MachineLearningTheBasics
  • Mathematics of Machine Learning - Christopher Griffin
  • Reinforcement Learning: An Introduction - Sutton & Barto
  • The Elements of Statistical Learning
• language
  • Computational Linguistics
  • Foundations of Computational Linguistics
  • Natural Language Processing - Jacob Eisenstein
  • Speech and Language Processing - Dan Jurafsky and James H. Martin
• A Field Guide to Genetic Programming
• Computers and Thought
• Paradigms of Artificial Intelligence Programming: https://github.com/norvig/paip-lisp, https://www.norvig.com/paip.html
• Predicting movie ratings and recommender systems

электроника

• Concise electronics for geeks
• Lessons In Electric Circuits: https://www.ibiblio.org/kuphaldt/electricCircuits/, https://www.allaboutcircuits.com/textbook/
• Radar Basics
• Дао изоленты: https://github.com/Serkov/Dao, https://serkov.su/blog/?page_id=2573
• Электронная техника. Начало

security

• How to Secure Anything
• Secure Programming HOWTO
• Security Concepts
• The Lie Behind the Lie Detector

medic

• Anatomy At a Glance
• Clinical anatomy Applied anatomy for students
• The ship captain's medical guide: https://www.gov.uk/government/publications/the-ship-captains-medical-guide, https://archive.org/details/ShipCaptainsMedicalGuide22ndEd
• FreeBooks4Doctors

robots

• Elements of Robotics: https://www.weizmann.ac.il/sci-tea/benari/books-1, https://link.springer.com/book/10.1007/978-3-319-62533-1, https://www.epfl.ch/labs/mobots/elements-of-robotics/, https://unglue.it/work/251498/, https://github.com/motib/elements-of-robotics
• Introduction to Autonomous Robots: https://introduction-to-autonomous-robots.github.io/, https://github.com/Introduction-To-Autonomous-Robots

sci misc

• A Primer of Mathematical Writing
• Chaos: Classical and Quantum
• Introduction to Logic and Critical Thinking
• Introduction to Tensor Calculus and Continuum Mechanics
• Notes for Chaos, Fractals, Self-Organization and Emergence
• The Art of Insight in Science and Engineering
• The World Is Built On Probability: https://archive.org/details/lev-tarasov-the-world-is-built-on-probability-mir-2023, https://gitlab.com/mirtitles/twibop/, https://archive.org/details/TheWorldIsBuiltOnProbability
• Why Icebergs Float: Exploring Science in Everyday Life
• Mir Books: https://mirtitles.org/, https://archive.org/details/mir-titles, https://archive.org/details/@mirtitles, https://gitlab.com/mirtitles
• Science Books Online
• Free Science Books
• https://github.com/melling/MathAndScienceNotes

tech

• Guide to Lock Picking
• Low-cost 3D Printing for Science, Education and Sustainable Development

Earth

• Earth - Michael Carlowicz, Lawrence Friedl, Kevin Ward
• Earth As Art
• Earth at Night
• Energy and Human Ambitions on a Finite Planet: https://escholarship.org/uc/item/9js5291m#main, https://escholarship.org/uc/energy_ambitions, https://tmurphy.physics.ucsd.edu/energy-text/
• GIS Commons

библиотеки

• E-Books Directory
• Free and non free books all can learn from
• FreeTechBooks
• MIT OpenCourseWare
• Planet eBook
• Project Gutenberg
• Standard Ebooks: https://standardebooks.org/, https://github.com/standardebooks
• Библиотека Максима Мошкова: http://lib.ru/, http://www.kulichki.com/moshkow/
• Викиучебник, Wikibooks
• Cheatography
• Programming, Math, Science
• The Assayer
• Textbook Equity

прочее

• 1984: https://www.orwell.ru/library/novels/1984/, http://gutenberg.net.au/ebooks01/0100021.txt, https://www.planetebook.com/1984/
• A Book on Photography
• B C, Before Computers: On Information Technology from Writing to the Age of Digital Data: https://www.openbookpublishers.com/books/10.11647/obp.0225, https://doi.org/10.11647/OBP.0225
• ELEC 241: Fundamentals of Electrical Engineering I
• HAKMEM: https://www.jjj.de/hakmem/hakmem.html, http://hakmem.org/
• Introduction to Sound Processing
• Music: a Mathematical Offering
• Networks, Crowds, and Markets: Reasoning About a Highly Connected World
• The Devil's Dictionary
• The Jargon File
• всё о Ходже Насреддине из книги Леонида Соловьёва и не только…
• Про Федота-стрельца, удалого молодца: http://lib.ru/ANEKDOTY/fedot.txt, https://www.culture.ru/poems/33195/pro-fedota-strelca-udalogo-molodca, https://stihi.ru/diary/sonya4/2014-06-14, https://nukadeti.ru/skazki/pro-fedota-strelca-udalogo-molodca, https://ark.ru/zapoved/tigr/leonid-filatov-pro-fedota-streltsa/