ProofWiki:Community Portal

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Welcome to the community portal. This is the place to find out what is happening on $\mathsf{Pr} \infty \mathsf{fWiki}$. Learn what tasks need to be done, and what is currently happening on $\mathsf{Pr} \infty \mathsf{fWiki}$.




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Help out

$\mathsf{Pr} \infty \mathsf{fWiki}$ is a great resource for mathematical proofs but can not maintain itself. If you want to help $\mathsf{Pr} \infty \mathsf{fWiki}$ expand and grow check out the lists of things below.

Things to do

Top 10 Wanted Proofs

Want to do something different? Check here for articles linked to but not created, or finish a stub article.


Is there anybody out there?

A selection of links to some other sites which are more or less concerned with Mathematics:


On-line Text Books (School Level)

Free High School Science Texts (South Africa)
The Maths Factor
Math Open Reference

Magazines

http://plus.maths.org/
http://isquaredmagazine.co.uk/#
http://www.maa.org/pubs/mathmag.html
http://polymathprogrammer.com/singularity/

Forums and Online Communities

http://www.mathhelpforum.com/math-help/
http://www.thestudentroom.co.uk/
http://physicsforums.com/ (Mathematics section)
http://mathoverflow.net/
http://math.stackexchange.com
Math is Fun
Math Is Fun Forum
Natural Math
Math Future
Sangakoo
Maths Centre for Professional Teachers

Books

Bertrand Russell and Alfred North Whitehead: Principia Mathematica
http://www-cs-faculty.stanford.edu/~knuth/taocp.html

Wikis and Encyclopedias

Mathwikis wiki: Serving the Mathwikis community
Scholarpedia
ProvenMath
Subject Wikis
http://www.tricki.org/
http://en.wikipedia.org/wiki/Wikipedia:WikiProject_Mathematics
Math Wiki (on Wikia)
MathPages
http://mathworld.wolfram.com/
http://planetmath.org/
http://www.mathwords.com/
nLab
Art of Problem Solving
Interactive Mathematics
Brubeck: a Database of Topological Information
http://www.cliffsnotes.com/WileyCDA/Section/id-305259.html
MacTutor History of Mathematics archive
http://genealogy.math.ndsu.nodak.edu/index.php
TORI
Springer Online Reference Works: Encyclopaedia of Mathematics (recently wikified, now using the same technology as $\mathsf{Pr} \infty \mathsf{fWiki}$)
LifeWiki: dedicated to Conway's Game of Life
Esolang (yes I know it's not mathematics)


Blogs

http://www.mathblogging.org/ (Aggregates from various math blogs)
http://blog.tanyakhovanova.com/
http://terrytao.wordpress.com/
http://wildaboutmath.com/
http://randmathfun.blogspot.com
Math Accent
Bee Bop Parade
A Quantum Immortal: Stuff Ron Gross finds interesting
AG from the Beginning: A blog about Algebraic Geometry at an accessible level
Infinity Series; an introduction to ordinals
Annoying Precision by Qiaochu Yuan


Software/Computing

http://www.latex-project.org/
http://www.w3.org/Math/Software/
http://pari.math.u-bordeaux.fr/
http://www.gnu.org/software/octave/
http://www.sagemath.org/
http://www.texmacs.org/
http://www.lyx.org/
http://www.mersenne.org/
http://www.seventeenorbust.com/
http://www.geogebra.org/cms/en/info
http://demonstrations.wolfram.com/index.html
http://www.r-project.org/
http://docs.latexlab.org/ (Free online $\LaTeX$ development environment - Requires a Google account)
http://www.scribtex.com (Free online $\LaTeX$development environment - Good for rapid previews)
[3]

Comics

http://xkcd.com/
http://brownsharpie.courtneygibbons.org/
http://abstrusegoose.com/
http://spikedmath.com/

Formalized Mathematical Proofs

Mizar: "an attempt to reconstruct mathematical vernacular in a computer-oriented environment."
Isabelle
HOL light
HOL4
Coq
HOL Zero
ProofPower
Metamath: A tiny language that can express theorems in abstract mathematics

Computational Knowledge Engines

http://www.wolframalpha.com/

Lecture Notes

Algebra

Abstract Algebra
R.B. Ash: Abstract Algebra
Paul Garrett: Abstract Algebra
Paul Garrett: Intro to Abstract Algebra (Solutions)
D. Surowski: A Workbook in Higher Algebra
Linear Algebra
H. Connell: Elements of Abstract and Linear Algebra
J. Hefferon: Linear Algebra
A. Baker: Basic Linear Algebra
W.W.L. Chen: Linear Algebra
Group Theory
J.S. Milne: Group Theory
P. Cvitanović: Group Theory: Birdtracks, Lie's and Exceptional Groups
Paul Garrett: Buildings, BN-Pairs, Hecke Algebras, Classical Groups
R.B. Howlett: Miscellaneous Facts About Coxeter Groups
Introduction to Group Theory
A. Baker: Groups and Symmetry
Representation Theory
A. Baker: Representations of Finite Groups
C. Teleman: Representation Theory
P. Etingof, O. Golberg, S. Hensel, T. Liu, A. Schwendner, D. Vaintrob, and E. Yudovina: Introduction to representation theory
Universal Algebra
G.M. Bergman: An Introduction to Universal Algebra
S. Burris and H.P. Sankappanavar: A Course in Universal Algebra
M. Valeritoe: Lectures on Universal Algebra
Lie Groups
B.C. Hall: An Elementary Introduction to Groups and Representations
Paul Garrett: Lie Algebras and Lie Groups
I. Avramidi: Notes on Lie Groups
R.L. Bryant: An Introduction to Lie Groups and Symplectic Geometry
A. Cap: Lie Groups
Galois Theory
J.S. Milne: Fields and Galois Theory
D. Wilkins: Galois Theory
A. Baker: An Introduction to Galois Theory
J.P. Serre: Topics in Galois Theory
M. Reid: Galois Theory
S.R. Ghorpade: Notes on Galois Theory
Commutative Algebra
R.B. Ash: Commutative Algebra
Paul Garrett: Homological and Commutative Algebra
D. Murfet: Matsumura: Commutative Algebra
S.R. Ghorpade: Lectures on Commutative Algebra
Category Theory
M. Fokkinga: A Gentle Introduction to Category Theory
M. Bar and C. Wells: Toposes, Triples and Theories
J. van Oosten: Basic Category Theory
D. Turi: Category Theory Lecture Notes
D.E. Rydeheard and R.M. Burstall: Computational Category Theory

Number Theory

W.W.L. Chen: Elementary Number Theory
W.W.L. Chen: Distribution of Prime Numbers
J.S. Milne: Algebraic Number Theory
R.B. Ash: Algebraic Number Theory
J.S. Milne: Modular Functions and Modular Forms
Paul Garrett: Modular Forms and L-Functions
I.V. Dolgachev: Modular Forms
J.S. Milne: Etale Cohomology
J.S. Milne: Class Field Theory
J.S. Milne: Complex Multiplication
J.S. Milne: Abelian Varieties
Paul Garrett: Number Theory
Paul Garrett: Cryptography and Number Theory
Paul Garrett: Coding Theory
A. Baker: An Introduction to $p$-adic Numbers and $p$-adic Analysis
A. Baker: Algebra and Number Theory
I. Connell: An Elliptic Curve Handbook

Geometry

Algebraic Geometry
J.S. Milne: Algebraic Geometry
J.S. Milne: Algebraic Groups
I.V. Dolgachev: Introduction to Algebraic Geometry
I.V. Dolgachev: The McKay Correspondence
I.V. Dolgachev: Topics in Classical Algebraic Geometry
C. Weibel: An Introduction to Algebraic K-Theory
Differential Geometry
B. Csikós: Differential Geometry
G. Lugo: Differential Geometry
M. Kazarian: Differential Geometry
T. Shifrin: Differential Geometry: A First Course in Curves and Surfaces
D. Zaitsev: Differential Geometry: Lecture Notes
J.-P. Demailly: Complex Analytic and Differential Geometry


Analysis

Complex Analysis
R.B. Ash: Complex Variables
Paul Garrett: Complex Analysis
G. Cain: Complex Analysis
H.V. McIntosh: Complex Analysis
W.W.L. Chen: Introduction to Complex Analysis
Real Analysis
R.B. Ash: Real Variables with Basic Metric Space Topology
S. Semmes: Elements of Linear and Real Analysis
J. Orr: Analysis WebNotes
I. Craw: Advanced Calculus and Analysis
W.W.L. Chen: Fundamentals of Analysis
Functional Analysis
W.W.L. Chen: Linear Functional Analysis
W.W.L. Chen: Introduction to Lebesgue Integration
T. Ward: Functional Analysis
Paul Garrett: Functional Analysis

Differential Equations

E.M. Harrell and J.V. Herod: Linear Methods of Applied Mathematics

Probability and Statistics

R.B. Ash: Lectures on Statistics
R.B. Ash: Basic Probability Theory
C. Grinstead and J. Snell: Introduction to Probability
N. Vaillant: Probability Tutorials

Complexity and Algorithms

C. Yap: Fundamental Problems in Algorithmic Algebra
C. Yap: Introduction to Complexity Classes
C. Yap: Robust Geometric Computation
C. Yap: Algorithmics
W.W.L. Chen: Discrete Mathematics

Combinatorics

M. Petkovsek, H. Wilf and D. Zeilberger: The Book A=B
H. Wilf: Generatingfunctionology
D. Feldman: Ramsey's Theorem and Ramsey Theory
Dynamic Surveys in Combinatorics

Basic Algebra

K. Kubota: College Algebra
D. Joyce: A Short Course in Trigonometry
T. Ward: Basic Mathematics
W.W.L. Chen: Miscellaneous Topics in First Year Mathematics
MathIsFun: College Algebra

Calculus

G. Cain and J. Herod: Multivariable Calculus
Harvey Mudd College Calculus Tutorials
D. Sloughter: Difference Equations to Differential Equations
P. Dawkins: Paul's Online Math Notes
W.W.L. Chen and X.T. Duong: Elementary Mathematics
W.W.L. Chen: First Year Calculus
W.W.L. Chen: Multivariable and Vector Analysis

Graph Theory

R. Diestel: Graph Theory

Dynamical Systems

G. Elert: The Chaos Hypertextbook
P. Cvitanović, R. Artuso, R. Mainieri, G. Tanner, G. Vattay, N. Whelan and A. Wirzba: Chaos: Classical and Quantum
J. Milnor: Dynamics in One Complex Variable
P. Arnoux, V. Berthé, S. Ferenczi, S. Ito, C. Mauduit, M. Mori, J. Peyrière, A. Siegel, J.-I. Tamura and Z.-Y. Wen: Substitutions in Dynamics, Arithmetic and Combinatorics
T. Ward: Entropy of Compact Group Automorphisms
T. Ward: Valuations and Dynamics

Topology

C. Johnson and M. Burnett: Crystallographic Topology
S.A. Morris: Topology Without Tears
Algebraic Topology
A. Hatcher: Vector Bundles and K-Theory
T. Ward: Algebraic Topology

Logic

S. Bilaniuk: A Problem Course in Mathematical Logic

MIT Online Materials

http://ocw.mit.edu/courses/mathematics/

Other random stuff

The Advantages of Boundary Logic
TheoryMine: Personalized Mathematical Theorems

Video Media

Khan Academy
Vi Hart - Mathemusician
The Mechanical Universe

Uncategorized (Wait...)

http://www.cut-the-knot.org/
http://nrich.maths.org/public/
http://www.abstractmath.org/MM/MMIntro.htm
http://radicaleye.com/lifepage/
MSC2010
http://primes.utm.edu/
Math Reference Project (Web-based notes on university-level mathematics.)
The On-line Encyclopedia of Integer Sequences
Theorem of the Day



... and not just mathematics ...

Wikis in Education
Peer-to-Peer University
... including School of the Mathematical Future
Knowino

Teaching Services

http://www.tutorhunt.com/