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• Functions
  In mathematics, we refer to any loose collection of objects or entities -- of any nature -- as a ''set''. ...example, is this a circle in a bag of marbles? No, the marbles it is made of aren't connected to each other or to any location.
  151 KB (25,679 words) - 17:09, 20 February 2019
• Functions in higher dimensions
  These are the two main sources of a multiple ''dimension'': *multiple spaces of single dimension interconnected via functional relations.
  113 KB (19,680 words) - 00:08, 23 February 2019
• Functions of several variables
  ==Overview of functions== ...functions. We have two axes: the dimension of the domain and the dimension of the range:
  97 KB (17,654 words) - 13:59, 24 November 2018
• Discrete calculus article
  {{Short description|Discrete analog of calculus}} ...|discrete version of calculus|discrete exterior calculus|Discrete exterior calculus}}
  27 KB (4,329 words) - 16:02, 1 September 2019
• Partial differential equations
  ...ces as if they are separate compartments: the heat is contained in a ''row of rooms'' and each room exchanges the material with its ''two neighbors'' thr *$a=AB$ is one of the rooms;
  53 KB (9,682 words) - 23:19, 18 November 2018
• Forms in Euclidean spaces
  The simplest example of a differential form is a $1$-form over the real line: where $f$ is a function of $x\in {\bf R}$ multiplied by the second variable called $dx\in {\bf R}$.
  44 KB (7,778 words) - 23:32, 24 April 2015
• Integration
  ==Linear change of variables in integral== ...$I$ that satisfies $F' = f(x)$ for all $x$ is called an ''antiderivative'' of $f$.
  69 KB (11,727 words) - 03:34, 30 January 2019
• Calculus Illustrated
  [[image:Calculus Illustrated.png|right]] ...tbook for undergraduates. Its major feature is an introduction to discrete calculus, which is something everybody should be familiar with.
  16 KB (1,933 words) - 19:50, 28 June 2021
• Test
  [[Image:Tunnels_in_foam.png|200px|right|Complex 3d topology of a piece of foam]] A sample of the ideas that the text follows -- in broad brushstrokes.
  16 KB (2,139 words) - 23:01, 9 February 2015
• Applied Topology and Geometry
  [[Image:Tunnels_in_foam.png|200px|right|Complex 3d topology of a piece of foam]] A sample of the ideas that the text follows -- in broad brushstrokes.
  16 KB (2,088 words) - 16:37, 29 November 2014
• Convergence of the discrete to the continuous
  ==Calculus vs. discrete calculus== ...same, so far. Indeed, this is how discrete calculus fits into the familiar calculus:
  21 KB (3,664 words) - 02:02, 18 July 2018
• Chain complexes
  We now review what it takes to have ''arbitrary ring of coefficients'' $R$. ...ty $1_R$, a (commutative) $R$-''module''<!--\index{module}--> $M$ consists of an abelian group $(M, +)$ and a scalar product operation $R \times M \to M$
  33 KB (5,293 words) - 03:06, 31 March 2016
• Isotropy in numerical PDEs
  ===Finite differences=== ...equation produce [[recurrence relations]] that we use to update the state of the simulation.
  10 KB (1,593 words) - 13:20, 8 April 2013
• Discrete Calculus: Applied Analysis on Graphs for Computational Science by Grady and Polimeni
  ...ce'' by Leo J. Grady, Jonathan R. Polimeni [http://www.amazon.com/Discrete-Calculus-Applied-Analysis-Computational/dp/1849962898] ...ultivariate calculus, discrete calculus establishes a separate, equivalent calculus that operates purely in the discrete space without any reference to an unde
  11 KB (1,663 words) - 16:03, 26 November 2012
• Students research projects
  *Fall 2011: ''Modeling vector fields with discrete exterior calculus'' by George Chappell, senior capstone project ...try at Marshall University will jointly host twelve students for ten weeks of instruction and research in computational science.
  11 KB (1,674 words) - 23:20, 25 October 2011
• Euclidean space made discrete
  ==Discretization of space== ...ire to study the world computationally. The main examples of the successes of this idea are the following.
  11 KB (1,801 words) - 15:50, 25 July 2014
• Calculus of discrete differential forms
  The difference between "[[calculus]]" and "[[exterior calculus]]" will become clearer in the discrete environment. Indeed, in the continuo <center>the derivative as the ''rate of change'' $\leftrightarrow$ the exterior derivative as the ''change''.</cent
  9 KB (1,503 words) - 18:30, 22 August 2015
• Computational science training: 2012
  ...flat and curved “surface worlds” check the Euclidean theorem about the sum of the angles in a triangle. From G. Gamow, One, Two, Three... Infinity.]] ...try at Marshall University will jointly host twelve students for ten weeks of instruction and research in computational science.
  5 KB (732 words) - 17:42, 8 April 2013
• Preview of calculus: part 1
  This is a part of [[Calculus 1: course]]. '''There are two main problems in Calculus:'''
  10 KB (1,532 words) - 00:07, 2 May 2011
• Current students' projects
  Background: [[Discrete Calculus. An Introduction.]] ==Physics simulations and discrete exterior calculus==
  4 KB (527 words) - 14:04, 25 August 2013

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