Mathematics

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Mathematica

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  1. Wolfram Mathematica
  2. Wolfram Research, Inc.
  3. Function Repository
  4. The Mathematica Package Repository.
  5. AbstractAlgebra - Exploring Abstract Algebra with Mathematica
  6. Making a website with Mathematica

GAP

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  1. GAP
  2. GAP Lesson
  3. GAP Lectures by A. Hulpke
  4. Abstract Algebra with GAP
  5. Rings in GAP

    Everything you always wanted to know about rings in GAP (*but were afraid to ask*) - Jürgen Ecker

  6. LibGAP

Kant

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  1. KANT

Singular

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  1. Singular

MIX

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  1. MixEmul

Geogebra

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  1. GeoGebra | Free Math Apps - used by over 100 Million Students & Teachers Worldwide
  2. Escher en het Alhambra
  3. Digital Mathematics

    Geogebra Tutorial and more...

Online Tools

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  1. Wolfram|Alpha
  2. Magma Calculator
  3. OEIS
  4. DLMF: NIST Digital Library of Mathematical Functions
  5. LMFDB

    See https://github.com/JohnCremona/ecdata for sourcedata

  6. JohnCremona/ecdata

Sage

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  1. Sage on Windows 10

    Running Sage on the Windows 10 Pro Subsystem for Linux (WSL)

  2. Questions - ASKSAGE: Sage Q&A Forum
  3. SageMath - Open-Source Mathematical Software System
  4. Abstract Algebra with Sage
  5. Sage Documentation v9.0
  6. Number fields — Sage Constructions v6.8

Python

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27/8-'20: OK. A Python category...

  1. Pexpect version 4.8 — Pexpect 4.8 documentation
  2. Diophantine — SymPy 0.7.6.1 documentation

LaTeX

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  1. LaTeX org
  2. MiKTeX Project Page
  3. TeX Users Group

    Official channel of TeX Users Group. Conferences, and other videos on TeX and associated tech.

  4. MIT Thesis LaTeX Specs
  5. Tex Stack Exchange
  6. Style/class tutorials

LaTeX IDE's

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  1. LaTeX Editors/IDEs
  2. Hannah-Sten/TeXiFy-IDEA
  3. OverLeaf
  4. ShareLaTeX, the Online LaTeX Editor
  5. TeXstudio : user manual
  6. TeXstudio

LaTeX packages

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  1. Package graphicx
  2. tcolorbox.pdf

Writing

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  1. Text Processing Tools
  2. PDF to PNG - Convert PDF to PNG Online
  3. Markdown,Sublime Text and Pandoc
  4. Synoniemen.net
  5. iceScrum

Image Processing

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  1. Digital Image Processing

"Hardware for Tools"

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  1. Free HDTV on PC
  2. 4bit Terminal Color Scheme Designer
  3. Minimalist GNU for Windows
  4. How To Make Lecture Videos
  5. WSL 2: Getting Started
  6. dummies - Learning Made Easy

Hackintosh

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  1. MacMini 2020
  2. Techno kak

    Hackintosh

  3. Blog | hackers-arise
  4. It's FOSS - World's Leading Linux & Open Source Web Portal
  5. Zorin OS: Your Computer. Better.

e-Books

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  1. Goodreads

    The Facebook for book-lovers. Join!

  2. Mathematics Textbooks for Self Study --- A Guide for the Autodidactic
  3. Free Textbooks by Topic
  4. Open Source Approved by AIM
  5. Library Genesis

e-Book Accessories

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  1. Calibre

    E-book Database Management

  2. Custom Metadata for Calibre
  3. Convert DjVu files to PDF Online
  4. Smallpdf.com

    A Free Solution to all your PDF Problems

  5. Goodereader
  6. Popular 24 hours Apps Torrents

In/Out-Bin

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  1. National Geographic 8-25×25 Zoom Monokular - Spezielle Makrofunktion
  2. Suggest Bookmarks Here

    My personal Twitter feed

  3. User:Nilo de Roock - OeisWiki

Number Theory

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  1. The Subalgebra Structure of the Cayley-Dickson Algebra of Dimension 32 (trigintaduonion)

    Beyond the sedenions : trigintaduonions.

  2. Euclidean Algorithm for Gaussian Integers

    Taken from the mathdoctorbob collection

  3. Rings of Integers in Quadratic and Cyclotomic Fields
  4. Arithmetic in Number Rings
  5. Prime Power Congruences
  6. congnumber.pdf

    Expository paper on the "Congruent Number Problem" by Keith Conrad

Analytic Number Theory

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  1. Explicit formulae for L-functions
  2. Bsc. Thesis Zeta function (pdf)

    The Zeta function according to Riemann - Willem Pranger - 8 Feb 2013

  3. MATH 41022 / 61022

    ANT ( Dr. M. Coleman )

  4. NumberTheory.pdf

    Alois Pichler

  5. Analytic Number Theory course/college Analytische Getaltheorie, Leiden
  6. The Fluctuations of the Prime-counting Function pi(x)

Complex Analysis

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  1. Complex Analysis - Spring 16

    Mathematics III - Complex Analysis - Spring 16

  2. MATH 331: Complex Analysis

    James Cook's MATH 331: Complex Analysis

  3. Math 5022
  4. MA243: Complex Analysis
  5. Math 5021
  6. Complex logarithm

Calculus / Analysis

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  1. NUI Galway MA180-2/MA190/MA186 : Semester 2 Calculus, 2012/13
  2. Math 24

    Many ( 2000+ ) solved Calculus Problems

  3. Real Analysis (73 lectures)
  4. How Euler Did It, by Ed Sandifer

    MAA Column

Integral Transformations

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  1. Resources
  2. Fourier and Laplace Transforms | Differential Equations and Linear Algebra | Learn Diff...

Topology

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  1. π-Base
  2. The Fundamental Group of the Circle, Part 1

    The Fundamental Group of the Circle, Part 1/6

  3. Measure Theory for Probability: A Very Brief Introduction

Abstract Algebra

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  1. The Birkhoff Problem
  2. Goodman - Algebra
  3. Finitely-generated modules over a principal ideal domain
  4. Group Representation Theory
  5. Linear Algebra

    Open Source Textbook

  6. Problems in Mathematics

Discrete Mathematics

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  1. Permutation Puzzles
  2. Exploring Discrete Mathematics Using Mathematica
  3. How to think in graphs: An illustrative introduction to Graph Theory and its applications

Category Theory

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  1. Category Theory in Context

    Emily Riehl's book ( free PDF version )

  2. Logical Methods in Computer Science
  3. Theory and Applications of Categories
  4. Category Theory

Formal Proofs

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  1. Archive of Formal Proofs
  2. Mathematical Components
  3. leanprover-community/mathlib

Formal Abstracts

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  1. Formal Abstracts

    Towards a Google Earth of Mathematics...

Biohacking

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  1. Biohacking - The Beginner’s Guide (Top 7 Hacks!)

Cosmology

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  1. VizieR
  2. Stellarium Astronomy Software
  3. Science Mission Directorate
  4. Susskind's Cosmology Lectures
  5. David Butler's Cosmology Videos

Theoretical Physics

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  1. Einstein's Field Equations

    for beginners - 2 hour video

  2. A Project to Find the Fundamental Theory of Physics
  3. Mysteries of Modern Physics

    Lecture by Sean Carroll - Caltech

  4. LPPFusion

    Did the Big Bang really happen?

  5. Convert just about anything to anything else
  6. Convert-me.com

    Instant units conversion

Brain

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  1. How do brains work?

Mathematics Blogs

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  1. Kimball Martin

    Collection of lecture notes of many subjects

  2. Sketches of Topology
  3. Yet Another Mathblog

    David Joyner's blog

  4. Abakcus

    Science and Math stuff

  5. Matt Baker's Math Blog

    Number theory, graphs, dynamical systems, tropical geometry, pedagogy, puzzles, and the p-adics

  6. Field arithmetician's blog

Coding

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  1. Project Euler
  2. Codeforces
  3. GeeksforGeeks | A computer science portal for geeks
  4. Code Golf

Podcasts

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Open Access only...

  1. My Favorite Theorem — Kevin Knudson

Math Competitions

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  1. Polish Mathematical Olympiad 2020
  2. International olympiad for school students in mathematics
  3. International Mathematical Olympiad
  4. pen-20070711.pdf
  5. International Mathematical Olympiad
  6. Online Results

Resources for Mathematics Teachers

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  1. Discord - A New Way to Chat with Friends & Communities
  2. Ross Mathematics Program
  3. For Master Teachers of Math and Science
  4. mathforum.org
  5. AOP/Alcumus
  6. The Open University

Prototypes for Self-study Math Plans

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This category is still in development

  1. Bethel University

Mathematics Video Lectures

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In order of rating. - Ten recommended, or otherwise coherent, or complete, series.

  1. Bill Kinney

    #1 - Full Undergraduate Program and courses on Financial Mathematics ( Kinney uses Mathematica )

  2. NPTEL PHASE 2 - Courses.

    #2 - A selection of undergraduate and graduate courses; what courses don't they have?

  3. Numberphile

    #3 - Many beautiful short talks and demos about a math topic.

  4. James Cook

    Full Undergraduate Program also a course based on the book Naive Lie Theory by J. Stillwell

  5. Jim Fowler

    Excellent video "series" ;-) Fun to watch. Enjoy!

  6. Wildberger's Foundations of Mathematics lectures

    Some excellent lectures; ( sadly Wildberger denies the existence of Real Numbers, which is weird )

Video Lecture Series

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  1. Michael Penn

    Mostly undergraduate Abstract Algebra and Elementary Number Theory

  2. Andrew Dotson

    Adventures of a physics grad student.

  3. Flammable Maths

    Plethora of short videos organized by subject.

  4. Fematika

    Genius or Hoaxer?

  5. Undefined Behavior

    Math Explained to Layman

  6. Steven Miller videos

Pre-Calculus Videos

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  1. Brian McLogan

    College Math Videos

  2. PatrickJMT

    All Pre-Algebra

  3. Mario's Math Tutoring

Calculus Videos

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  1. Dr Chris Tisdell

    Short topic based videos.

  2. Professor Leonard

    Lecture Series on Calculus 1,2,3 and DE's.

  3. Winston Ou

    Undergraduate Calculus, Analysis, Linear Algebra

  4. Donny Lee

    Short videos on mostly calculus and analysis

  5. ProfRobBob

    Including Pre-Calculus

  6. Math 53: Multivariable Calculus (Fall 2009, UC Berkeley)

Videos Complex Analysis

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  1. Mandelbrot Set

    Talk from a Christian perspective

  2. Complex Analysis

    Complex Analysis by Prof. P. A. S. Sree

  3. Adam Glesser Complex Analysis

    Video lectures

  4. Complex analysis

    Videos by The MathCoach

  5. Advanced Complex Analysis - Part 1 - YouTube

Number Theory Videos

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  1. Rings of Integers in Quadratic and Cyclotomic Fields
  2. A short course on Modular Forms

    Ram Murty lectures

  3. Introduction to Analytic Number Theory

    Ram Murty lectures

  4. Introduction to Elliptic Curves

    CTNT 2016 - "Introduction to Elliptic Curves" by Alvaro Lozano-Robledo

  5. Introduction to Modular Forms - Part 1 of 8

    By Keith Conrad

  6. Number Theory 15/16

Graduate Level Videos

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( Under construction )

  1. UConn Mathematics

    Graduate level introductory courses

  2. Stony Brook Mathematics Video Archive

    Various topics on graduate level

  3. Richard Southwell's YT Channel

    Topology, Cellular Automata, Complex Dynamics, and more

  4. MKS TUTORIALS by Manoj Sir

    Applied Mathematics for Engineering

  5. matsciencechannel

    Graduate topics

InBin Videos

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  1. New Theories Reveal the Nature of Numbers
  2. Andreas Schaefer
  3. International Centre for Theoretical Sciences
  4. Foundations of Projective Geometry

    Foundations of Projective Geometry

  5. Manifolds
  6. Differential Topology | Lecture 1 by John W. Milnor

Some People

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In Alphabetical Order

People B

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  1. Carlo Beenakker

    Physics Professor - Leiden University

  2. Karim Belabas

    Prof. Math / Number Theory; cur. devl. of the PARI/GP number theory C library

People C

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  1. Nicholas Camacho
  2. David Cardon's Home Page

    "Matrices related to Dirichlet Series" & works @ BYU.

  3. Dr Coleman's Home Page

    Sr. Lecturer ANT - Manchester ( Alan Turing Building )

  4. Keith Conrad
  5. User James S. Cook

    Mathematics Professor

  6. Jan van de Craats

People D

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  1. Harold G. Diamond

    Emeritus - Number Theorist

  2. Floris van Doorn
  3. Taylor Dupuy's Math Vlog
  4. Taylor Dupuy

People E

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  1. Jesse Elliott

    Analytic Number Theorist

  2. Jan-Hendrik Evertse

People F

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  1. Eberhard Freitag

People G

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  1. Prof. Dr. Hugo de Garis
  2. Simone Gold

    COVID19

  3. Timothy Gowers

    Brit. and Sir.

  4. Andrew Granville's Home Page

People H

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  1. Russ Herman

    Several book-length course notes

  2. AJ Hildebrand

    Professor Emeritus University of Illinois

  3. Alexander Hulpke

    GAP Expert

  4. Greg Hurst

    Mathematician, Programmer, Author "Apostol Solutions"

  5. User:Wesley Ivan Hurt

People K

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  1. User kglr

    Top 0.1% MMa Expert - Prefers to keep an air of mystery about them. - Who is HE/SHE?

  2. Bill Kinney

    Mathematics Professor ; Mathematica Enthusiast

  3. Dimitris Koukoulopoulos

    Associate Professor Montreal - Number Theorist

  4. Andrius Kulikauskas

People L

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  1. LMS Journals - Landau
  2. Daniel Lichtblau

    Mathematica Kernel programmer

  3. David Loeffler

    "Just don't believe everything you read on MathWorld."

  4. Dirk Lorenz
  5. Jonathan Lubin

    "...when it comes to research, I have to be considered a mathematical dilettante."

People M

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  1. Lilit Martirosyan

    Algebraist.

  2. B.J. Meulenbroek - TU Delft OCW

    Professor Mathematics

  3. Hugh L. Montgomery

    Number Theorist of repute.

  4. Ram Murty

    Probably my favorite contemporary mathematician.

People N

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  1. Jesper Nederlof.

    Discrete math person; algorithmic stuff

  2. Will Nicholes

People P

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  1. Ilya Piatetski-Shapiro
  2. Paul Pollack

    Number Theorist. - His books are freely downloadable.

  3. Jose William Porras

    Claims to have solved the Collatz conjecture

People R

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  1. Emily Riehl

    Why did she surrender to a safe topic like Category Theory?

People S

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  1. Maxie D. Schmidt -- Georgia Tech

    Number Theorist who likes combinatorics

  2. Karen E. Smith

    More feminist than mathematician.

  3. Jose Sousa

    Number Theorist ( ? )

People T

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  1. Paul Taylor - Foundations of Mathematics and Computation
  2. Gérald Tenenbaum

    Mr. Big

  3. Audrey Terras

People V

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  1. Bob Vaughan's Home Page
  2. Roland van der Veen

People W

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  1. Matthew Watkins
  2. Ian Wright
  3. Edward Witten

    Are theoretical physicists specialized in String Theory physicists or applied mathematicians?

People Y

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  1. Qiaochu Yuan

    Heavy Math.SE contributor

People Z

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  1. Daniel Zwillinger
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