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• Discrete calculus article
  {{Short description|Discrete analog of calculus}} {{About|discrete version of calculus|discrete exterior calculus|Discrete exterior calculus}}
  27 KB (4,329 words) - 16:02, 1 September 2019
• Calculus Illustrated
  This is a page of ''Calculus Illustrated'' by [[Peter Saveliev]], a textbook for undergraduat ...AABs388J02Zuoly8clE4WVRpa?dl Fall 2020 lectures]. They use the actual text of the book.
  16 KB (1,933 words) - 19:50, 28 June 2021
• Test
  <TR> <TD><center>[[Stokes theorem]]</center></TD></TR> <TR> <TD><center>[[Image:Stokes theorem deconstructed.png|center]]</center></TD></TR>
  16 KB (2,139 words) - 23:01, 9 February 2015
• Topology Illustrated -- Index
  *[[Arrow's Impossibility Theorem|Arrow's Impossibility Theorem]] *[[Arzela-Ascoli Theorem|Arzela-Ascoli Theorem]]
  16 KB (1,773 words) - 00:41, 17 February 2016
• Cubical calculus
  ...al of integration fixed -- is often thought of as a real-valued ''function of the integrand''. This idea is revealed in the usual function notation: ...iemann integral is introduced in calculus as the limit of the Riemann sums of $f$. The student then discovers that this function is ''linear'':
  25 KB (4,238 words) - 02:30, 6 April 2016
• Applied Topology and Geometry
  <TR> <TD><center>[[Stokes theorem]]</center></TD></TR> <TR> <TD><center>[[Image:Stokes theorem deconstructed.png|center]]</center></TD></TR>
  16 KB (2,088 words) - 16:37, 29 November 2014
• Cubical complex
  ...}^N$. Suppose also that we have its decomposition ${\mathbb R}^N$, a list of all (closed) cubical cells in our grid. ...boundary operator is well defined. This requires us to include all “faces” of the cells already present.
  29 KB (4,800 words) - 13:41, 1 December 2015
• Chain complexes
  We now review what it takes to have ''arbitrary ring of coefficients'' $R$. ...and results can be found in the standard literature such as Hungerford, ''Algebra'' (Chapter IV).
  33 KB (5,293 words) - 03:06, 31 March 2016
• Homotopy and homotopy equivalence
  ...quivalence relation that produces the same result for a much broader class of spaces: ...try to understand the actual mathematics behind these words, with the help of this juxtaposition:
  45 KB (7,738 words) - 15:18, 24 October 2015
• Integer-valued calculus
  <blockquote>''God made the integers, all else is the work of man.'' -- Leopold Kronecker </blockquote> ...''orientable''? Can one go on a trip and then come back as a mirror image of himself? Including the internal organs, like this:
  27 KB (3,824 words) - 19:07, 26 January 2019
• Cubical complexes
  ...Z}^N$. Suppose also that we have its decomposition ${\mathbb R}^N$, a list of all (closed) cubical cells in our grid. ...which the boundary operator is well-defined; i.e., $K$ includes all faces of the cells it contains.
  20 KB (3,319 words) - 14:18, 18 February 2016
• Contemporary Abstract Algebra by Gallian
  ''Contemporary Abstract Algebra'' by Joseph A. Gallian Used the book (twice) -- for [[Modern Algebra I -- Fall 2011]], see also [[Group theory: course]].
  5 KB (568 words) - 15:23, 16 November 2011
• Cochains on graphs
  ==The algebra of plumbing, continued== We introduce more algebra with the familiar metaphor:
  15 KB (2,523 words) - 18:08, 28 November 2015
• Calculus on graphs
  ==The algebra of plumbing, continued== We introduce more algebra with the familiar metaphor.
  16 KB (2,578 words) - 00:14, 18 February 2016
• Exterior derivative
  ==What may be the meaning of the derivative of a differential form?== There are a couple of questions to consider.
  12 KB (2,089 words) - 18:16, 22 August 2015
• Discrete parametric curves
  that comes from Pythagorean Theorem. diagonal of box $a \times b \times c$.
  32 KB (5,426 words) - 21:57, 5 August 2016
• Integration of differential forms of degree 2
  It is linear in either of the two arguments but not linear in $(a,b)$: ...d it is differentiable with respect to $a$ and linear with respect of each of the vectors $v$.
  15 KB (2,341 words) - 20:53, 13 March 2013
• Stability Analysis
  ...numerical scheme to discretize the equation, and we also have STABILITY. Of course, stability will turn out to depend on the parameter values delta-t a ...components of our separated solution; using this, and a clever trick from algebra, we can finally prove our stability condition given above!
  12 KB (2,051 words) - 03:51, 11 August 2012
• Calculus I -- Fall 2017
  ...ions of one variable, including the transcendental functions. (PR: MTH ACT of 27 or above, or MTH 130 and 122, or MTH 127 and 122, or MTH 132) This cours *Prerequisites: fluency with algebra, good understanding of functions.
  13 KB (2,075 words) - 13:35, 27 November 2017
• Discrete Calculus: Applied Analysis on Graphs for Computational Science by Grady and Polimeni
  ...In contrast to traditional goals of finding an accurate ''discretization'' of conventional multivariate calculus, discrete calculus establishes a separat ...complex]] in terms of $(k-1$-cells, you also know the exterior derivative of all discrete [[differential forms]] ([[co-chain]]s). So, you know calculus.
  11 KB (1,663 words) - 16:03, 26 November 2012

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