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- == The practice and language of mathematics == ...at mathematics is fundamentally about numbers and calculation. In reality, mathematics is a much vaster field which explores many concepts such as [[w:probability ...10 KB (1,713 words) - 17:53, 17 December 2022
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- {{nav|School:Mathematics/Undergraduate/Pure Mathematics}} ...811 bytes (148 words) - 09:06, 24 December 2022
- {{nav2|School:Mathematics/Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Proofs}} ...the sciences, in that a theorem in mathematics, once proven, is a fact (in mathematics) whereas a theory in the sciences is simply the best known explanation to d ...2 KB (275 words) - 03:50, 16 October 2014
- {{nav2|School:Mathematics/Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} [[School of Mathematics:Introduction to Graph Theory:Proof of Theorem 2|Theorem 2]]: A graph is a f ...2 KB (376 words) - 13:10, 14 October 2016
- {{nav2|School:Mathematics/Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} ...graph <math>G</math> which is not a forest. Since a forest is [[School of Mathematics:Introduction to Graph Theory:Lecture 2#What is a forest?|defined]] to be a ...2 KB (321 words) - 21:48, 6 March 2017
- {{nav2|School:Mathematics/Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} [[School of Mathematics:Introduction to Graph Theory:Proof of Corollary 3|Corollary 3]]: A graph is ...4 KB (760 words) - 03:10, 12 January 2016
- {{nav2|School:Mathematics/Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} [[School of Mathematics:Introduction to Graph Theory:Proof of Theorem 4|Theorem 4]]:For a graph <ma ...2 KB (386 words) - 03:10, 12 January 2016
- ...may be electrical signals (say, from an electronic circuit being tested), pure mathematical functions, or any kind of data being analysed on a computer. R ...1 KB (155 words) - 21:54, 27 November 2022
- {{nav2|School:Mathematics/Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} The degree of a vertex is [[School of Mathematics:Introduction to Graph Theory:Lecture 1#The Degree Sequence|defined]] to be ...3 KB (456 words) - 03:09, 12 January 2016
- <blockquote>''"There is no problem in all mathematics that cannot be solved by direct counting."-Ernst Mach''</blockquote> ...iscrete (and usually finite) objects. It is related to many other areas of mathematics, such as algebra, probability theory, ergodic theory and geometry, as well ...2 KB (331 words) - 06:17, 3 January 2022
- ...r outstanding scientific work in the [[../CosmologicalConstant/|field]] of mathematics. The choice of an Abel Laureate is based upon the recommendation by the Abe ...ate all of the awards are for advanced mathematics relevant to both `pure' mathematics and physics. ""The Abel Prize recognizes contributions of extraordinary dep ...3 KB (517 words) - 04:34, 12 September 2020
- [1] Lass, Harry. "Elements of pure and applied mathematics" New York: McGraw-Hill Companies, 1957. ...2 KB (222 words) - 14:29, 10 October 2023
- ...]. The axiomatic approach already has wide applications both in metalogic, mathematics, metamathematics and [[../LQG2/|quantum logics]]. ==Metatheory, Meta-Logic and Meta-Mathematics== ...8 KB (1,064 words) - 15:26, 12 September 2020
- ...uluses|Calculus]]''' is a lecture, part of a mathematics series on college mathematics. You are free to take this quiz based on [[Mathematics/Calculuses|calculus]] at any time. ...5 KB (783 words) - 00:20, 21 January 2020
- [1] Lass, Harry. "Elements of pure and applied mathematics" New York: McGraw-Hill Companies, 1957. ...2 KB (240 words) - 14:29, 10 October 2023
- {{nav2|School:Mathematics/Undergraduate/Pure Mathematics|School:Mathematics/Undergraduate/Introduction_to_Set_Theory}} The materials in this course overlap with [[Introductory Discrete Mathematics for Computer Science]], particularly Lesson 1. ...5 KB (783 words) - 22:25, 31 March 2018
- In [[w:mathematics|mathematics]], transformations equivalent to what was later known as Lorentz transforma ...sections concerning the development of the Lorentz transformation in pure mathematics (written between [https://en.wikipedia.org/w/index.php?title=History_of_Lor ...4 KB (542 words) - 09:39, 11 September 2023
- {{nav2|School:Mathematics/Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} '''QED''' ([[School of Mathematics:Introduction to Graph Theory:Proof of Theorem 2|Full Proof]]) ...6 KB (1,032 words) - 03:48, 16 October 2020
- ...primary' concepts are being sparely used in physics and are very scarce in mathematics. The other major distinction between mathematical and physical definitions ...n, whose object can be met with nowhere in experience... Whether there are pure concepts of the understanding which, as such, spring solely from understand ...6 KB (859 words) - 02:52, 30 October 2020
- ...are the basic objects of study in linear algebra, and are used throughout mathematics, science, and engineering. Hilbert spaces arise naturally and frequently in mathematics, physics, and engineering, typically as infinite-dimensional function space ...12 KB (1,859 words) - 18:01, 6 September 2015
- ...ortance for axiomatic approaches to many areas of science besides those of mathematics and metamathematics , such as: general [[../NewtonianMechanics/|dynamics]] ===Introduction: Formal Logic, Meta-Logic and Meta-Mathematics=== ...14 KB (1,973 words) - 00:23, 10 September 2020