List of basic mathematics topics 20364 221073852 2008-06-22T23:05:58Z The Transhumanist 1754504 moved [[Topical outline of mathematics]] to [[List of basic mathematics topics]] over redirect: revert self {{MathTopicTOC}} '''[[Mathematics]]''' is the search for fundamental truths in pattern, quantity, and change. For more on the relationship between [[mathematics]] and [[science]], refer to the article on [[science#Mathematics and the scientific method|science]]. The following outline is provided as an overview of and introduction to '''mathematics''': == Subjects of mathematics == === Quantity === : ''Main article: [[Mathematics#Quantity|Quantity]]'' * [[Natural number]]s * [[Integer]]s * [[Rational number]]s * [[Real number]]s * [[Complex number]]s === Structure === : ''Main article: [[Mathematics#Structure|Structure]]'' * [[Number theory]] * [[Abstract algebra]] * [[Order theory]] === Space === : ''Main article: [[Mathematics#Space|Space]]'' *[[Geometry]] * [[Trigonometry]] * [[Differential geometry]] * [[Topology]] * [[Fractal geometry]] === Change === : ''Main article: [[Mathematics#Change|Change]]'' * [[Calculus]] * [[Vector calculus]] * [[Differential equation]]s * [[Dynamical system]]s * [[Chaos theory]] === Foundations and philosophy=== {{main|Foundations of mathematics}} * [[Philosophy of mathematics]] * [[Category theory]] * [[Set theory]] === Mathematical logic === {{main|Mathematical logic}} * [[Model theory]] * [[Proof theory]] * [[Recursion theory]] * [[Set theory]] === Discrete mathematics === {{main|Discrete mathematics}} * [[Combinatorics]] * [[Theory of computation]] * [[Cryptography]] * [[Graph theory]] === Applied mathematics === {{main|Applied mathematics}} * [[Mathematical physics]] * [[Mechanics|Analytical mechanics]] * [[Fluid mechanics|Mathematical fluid dynamics]] * [[Numerical analysis]] * [[Optimization (mathematics)|Optimization]] * [[Probability]] * [[Statistics]] * [[Mathematical economics]] * [[Financial mathematics]] * [[Game theory]] * [[Mathematical biology]] * [[Cryptography]] * [[Operations research]] * [[Information theory]] * [[Control theory]] * [[Dynamical system]]s == History of mathematics == : ''Main article: [[History of mathematics]]'' *[[Babylonian mathematics]] *[[Egyptian mathematics]] *[[Indian mathematics]] *[[Greek mathematics]] *[[Chinese mathematics]] **[[Abacus]] *[[History of the Hindu-Arabic numeral system]] *[[Islamic mathematics]] *[[Japanese mathematics]] *[[History of algebra]] *[[History of geometry]] *[[History of mathematical notation]] *[[History of trigonometry]] *[[History of writing numbers]] == Basic mathematics concepts == [[Algebra]] -- [[Mathematical analysis|Analysis]] -- [[area (geometry)|Area]] -- [[Arithmetic]] -- [[Calculus]] -- [[Category theory]] -- [[Combinatorics]] -- [[Complex number]] -- [[Computation]] -- [[Coordinate system]] -- [[Decimal]] -- [[Derivative]] -- [[Numerical digit|Digit]] -- [[Equation]] -- [[Fractal]] -- [[Function (mathematics)]] -- [[Geometry]] -- [[Infinity]] -- [[Integral]] -- [[Length]] -- [[Limit (mathematics)|Limit]] -- [[Logarithm]] -- [[Logic]] -- [[matrix (mathematics)|Matrix]] -- [[Number]] -- [[Numeral]] -- [[Pi]] -- [[Power (mathematics)|Power]] -- [[Prime number]] -- [[Mathematical proof|Proof]] -- [[Rational number]] -- [[Real number]] -- [[Series (mathematics)|Series]] -- [[Set]] -- [[Trigonometry]] -- [[Vector space]] -- [[Vector (spatial)]] -- [[Volume]] == Influential mathematicians == {{main|List of mathematicians}} *[[Bartel Leendert van der Waerden]] *[[Leonhard Euler]] *[[Pythagoras]] *[[Fibonacci]] == Mathematics lists == : ''Main article: [[Lists of mathematics topics]]'' ==External links== {{sisterlinks|Mathematics}} <div class="references-small"> * Online [[Encyclopaedia of Mathematics]] [http://eom.springer.de] from Springer. Graduate-level reference work with over 8,000 entries, illuminating nearly 50,000 notions in mathematics. * [http://www-math.mit.edu/daimp Some mathematics applets, at MIT] * Rusin, Dave: [http://www.math-atlas.org/ ''The Mathematical Atlas'']. A guided tour through the various branches of modern mathematics. (Can also be found [http://www.math.niu.edu/~rusin/known-math/index/index.html here].) * Stefanov, Alexandre: [http://us.geocities.com/alex_stef/mylist.html ''Textbooks in Mathematics'']. A list of free online textbooks and lecture notes in mathematics. * Weisstein, Eric et al.: [http://www.mathworld.com/ ''MathWorld: World of Mathematics'']. An online encyclopedia of mathematics. * Polyanin, Andrei: [http://eqworld.ipmnet.ru/ ''EqWorld: The World of Mathematical Equations'']. An online resource focusing on algebraic, ordinary differential, partial differential ([[mathematical physics]]), integral, and other mathematical equations. * [http://planetmath.org/ ''Planet Math'']. An online mathematics encyclopedia under construction, focusing on modern mathematics. Uses the [[GNU Free Documentation License|GFDL]], allowing article exchange with Wikipedia. Uses [[TeX]] markup. * [http://metamath.org/ ''Metamath'']. A site and a language, that formalize mathematics from its foundations. * [http://www-history.mcs.st-and.ac.uk/~history/ Mathematician Biographies]. The [[MacTutor History of Mathematics archive]] Extensive history and quotes from all famous mathematicians. * Cain, George: [http://www.math.gatech.edu/~cain/textbooks/onlinebooks.html Online Mathematics Textbooks] available free online. * [http://etext.lib.virginia.edu/DicHist/analytic/anaVII.html Math & Logic: The history of formal mathematical, logical, linguistic and methodological ideas.] In ''The Dictionary of the History of Ideas.'' * [http://www.nrich.maths.org/public/index.php Nrich], a prize-winning site for students from age five from [[University of Cambridge|Cambridge University]] * [http://www.freescience.info/mathematics.php 'FreeScience Library->Mathematics '] The mathematics section of FreeScience library * [http://garden.irmacs.sfu.ca Open Problem Garden], a [[wiki]] of open problems in mathematics * [http://www.mathmotivation.com/all-applications.html Applications of High School Algebra] </div> {{List resources}} [[Category:Basic topic lists|Mathematics| ]] [[Category:Mathematics| ]] [[Category:Mathematics-related lists| ]] [[pl:Podstawowe zagadnienia z zakresu matematyki]]