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Difference between revisions of "Discrete calculus"
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− | ''Discrete Calculus'' by [[Peter Saveliev]] | + | ''Elementary Discrete Calculus'' by [[Peter Saveliev]] |
− | Some of this material | + | How far we can go without limits? |
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+ | Some of this material has appeared as a part of a "general purpose" calculus book of mine: ''[[Calculus Illustrated]]''. | ||
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+ | For now, I just picked 3 chapters from the first 3 volumes of Calculus Illustrated. Here is a [https://www.dropbox.com/s/k4hdqqixming8ls/EDC.pdf PDF]. | ||
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+ | There is also an article [https://en.wikipedia.org/wiki/Discrete_calculus “Discrete calculus” for Wikipedia]. | ||
Latest revision as of 15:07, 25 June 2021
Elementary Discrete Calculus by Peter Saveliev
How far we can go without limits?
Some of this material has appeared as a part of a "general purpose" calculus book of mine: Calculus Illustrated.
For now, I just picked 3 chapters from the first 3 volumes of Calculus Illustrated. Here is a PDF.
There is also an article “Discrete calculus” for Wikipedia.
Chapter 0: Freshman's introduction to discrete calculus
- Treat calculus discretely!
- Calculus I: functions of single variable
- Calculus II: parametric curves and ODEs
- Calculus III: functions of several variables and PDEs
Chapter 1: Calculus in dimension $1$
Chapter 2: Chains
Chapter 3: Calculus on chain complexes
Chapter 4: Geometry and calculus
- Metric tensor
- Metric complexes
- Diffusion equation and wave equation
- Convergence of the discrete to the continuous
- Link: Spreadsheets
- Link: Discrete calculus: contributors