Mathematics

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Scrum

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  1. Scrum Guides

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

Eclipse/Workbench

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  1. The Eclipse Foundation
  2. How-To Install Workbench 3.0

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

SCSCP/OpenMath

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Client-Server protocol for Scientific Computing packages

  1. OpenMath Home
  2. SCSCP (Symbolic Computation Software Composability Protocol)
  3. SCSCP related
  4. symcomp/org.symcomp.java
  5. GAP Manual SCSCP

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

Pari/GP

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  1. pari.math.u-bordeaux.fr
  2. A tutorial for Pari/GP
  3. PARIrefcard.pdf
  4. An introduction to gp2c
  5. parigp tutorials
  6. Category:PARI/GP

Kant/Singular/MIX

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  1. Singular
  2. KANT
  3. 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...

Eclipse

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  1. Rich Client Platform
  2. Eclipsepedia

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

LaTeX

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Category Reviewed 19/1-'21

  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. Tex Stack Exchange
  5. Style/class tutorials
  6. Include Mathematica code in LaTeX

LaTeX IDE's

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

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

e-Books

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

    The Facebook for book-lovers. Join!

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

Complex Analysis

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Category Reviewed 18/1-'21

  1. Prof. Dr. Hugo de Garis ' Complex Analysis notes

    Textbooks and papers on Complex Analysis

  2. James Cook's MATH 331: Complex Analysis

    Lectures, Problem Sets and Solutions

  3. Math 5021

    Problem Sets + Solutions CA I

  4. Math 5022

    Problem Sets + Solutions CA II

  5. Complex Analysis - Spring 16

    Mathematics III - Complex Analysis - Spring 16

  6. MIT 18.04 Class Notes

Number Theory

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  1. Linear algebraic approach to algebraic number theory | Number Theory and Its Applicatio...
  2. Elementary Number Theory

    Number Theory Course by W. Stein at Harvard in 2001 using PariGP

  3. Number Theory and Cryptography

    Tech Notes by Matt Kerr

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

    Beyond the sedenions : trigintaduonions.

  5. Euclidean Algorithm for Gaussian Integers

    Taken from the mathdoctorbob collection

  6. Rings of Integers in Quadratic and Cyclotomic Fields

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)

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

  5. Vector Calculus Book
  6. Resources

Topology

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

    The Fundamental Group of the Circle, Part 1/6

  4. 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

Mathematical Logic

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  1. Mathematical Logic

    Technical Notes by Helmut Schwichtenberg

  2. Archive of Formal Proofs
  3. Mathematical Components
  4. leanprover-community/mathlib
  5. 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 & Life

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  1. How do brains work?
  2. the Shape of Life | The Story of the Animal Kingdom

Mathematics Blogs

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  1. Visual Insight
  2. Infinity is Really Big

    Bill Kinney's Blog on Mathematics, Applications, Life, and Christian Faith

  3. neverendingbooks
  4. Kimball Martin

    Collection of lecture notes of many subjects

  5. Sketches of Topology
  6. Yet Another Mathblog

    David Joyner'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. Planet Calc

    A zoo of online calculators

  2. Problems in Mathematics
  3. 2021: International Math Bee

    Mathematics Tournament

  4. Discord - A New Way to Chat with Friends & Communities
  5. Ross Mathematics Program
  6. For Master Teachers of Math and Science

Wiskunde leraren NL

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  1. Grammatica NL
  2. Zwartboek Rekenonderwijs
  3. Mastermath
  4. KWG
  5. NL: Personal computer care
  6. Het schoolsysteem VS vergeleken met dat van Nederland. American school system compared ...

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. mathdoctorbob.org

    Some Undergraduate + Graduate Topics

  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. Real Analysis course by Prof. Bill Kinney

    Follows Principles of Mathematical Analysis by Rudin

  2. Macauley

    Group Theory, Linear Algebra, Differential Equations

  3. Michael Penn

    Mostly undergraduate Abstract Algebra and Elementary Number Theory

  4. Andrew Dotson

    Adventures of a physics grad student.

  5. Flammable Maths

    Plethora of short videos organized by subject.

  6. Fematika

    Genius or Hoaxer?

Pre-Calculus Videos

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  1. Brian McLogan

    College Math Videos

  2. PatrickJMT

    All Pre-Algebra

  3. Mario's Math Tutoring

People Z

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  1. Daniel Zwillinger

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. Imaginary Numbers are Real
  2. Mandelbrot Set

    Talk from a Christian perspective

  3. Complex Analysis

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

  4. Adam Glesser Complex Analysis

    Video lectures

  5. Complex analysis

    Videos by The MathCoach

  6. 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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  1. Daniel Chan

    Various grad videos, i.e. tensor products, manifolds.

  2. Group Representation Theory

    22 lectures

  3. Richard E. Borcherds

    Graduate Lecture Series

  4. UConn Mathematics

    Graduate level introductory courses

  5. Stony Brook Mathematics Video Archive

    Various topics on graduate level

  6. Richard Southwell's YT Channel

    Topology, Cellular Automata, Complex Dynamics, and more

InBin Videos

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  1. Group Theory in Physics

    59 Lectures

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

    Foundations of Projective Geometry

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

  3. Richard Borcherds

    Guy of the Monster Group

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. Alexander Konovalov

    GAP SCSCP/OpenMath

  4. Dimitris Koukoulopoulos

    Associate Professor Montreal - Number Theorist

  5. Andrius Kulikauskas

People L

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  1. LMS Journals - Landau
  2. Lemhoff
  3. Daniel Lichtblau

    Mathematica Kernel programmer

  4. Steve Linton

    GAP SCSCP/OpenMath

  5. David Loeffler

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

  6. Dirk Lorenz

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 ( ? )

  4. William Stein's Homepage

    Programmer, mathematician, skater. - "Author" of books written by his students.

People Y

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  1. Qiaochu Yuan

    Heavy Math.SE contributor

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. User Sjoerd C. de Vries

    TNO, Rabo; EU/NL

  2. Bob Vaughan's Home Page
  3. 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?

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