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Difference between revisions of "Peter Saveliev"

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[[Image:PeterSaveliev.jpg|right]]
 
[[Image:PeterSaveliev.jpg|right]]
  
Hello! My name is Peter Saveliev. I am a professor of mathematics at Marshall University, Huntington WV, USA (looking to relocate). I have been involved in research in algebraic topology and several other fields but nowadays I think this is a pointless activity. My non-academic projects have been: digital image analysis, automated fingerprint identification, and image matching for missile navigation/guidance. The current, independent, projects are these two books:
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Hello! My name is Peter Saveliev. I am a professor of mathematics at Marshall University, Huntington WV, USA.  
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My current projects are these two books:
 
*''[[Topology Illustrated]]'', published 2016;
 
*''[[Topology Illustrated]]'', published 2016;
*''[[Calculus Illustrated]]'', in progress.  
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*''[[Calculus Illustrated]]'', to appear 2019.  
 
In part, the latter book is about ''Discrete Calculus'', which is based on a simple idea:
 
In part, the latter book is about ''Discrete Calculus'', which is based on a simple idea:
 
$$\lim_{\Delta x\to 0}\left( \begin{array}{cc}\text{ discrete }\\ \text{ calculus }\end{array} \right)= \text{ calculus }.$$
 
$$\lim_{\Delta x\to 0}\left( \begin{array}{cc}\text{ discrete }\\ \text{ calculus }\end{array} \right)= \text{ calculus }.$$
 
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I have been involved in research in algebraic topology and several other fields but nowadays I think this is a pointless activity. My non-academic projects have been: digital image analysis, automated fingerprint identification, and image matching for missile navigation/guidance.
  
 
*[[Peter Saveliev's publications|Publications]]   
 
*[[Peter Saveliev's publications|Publications]]   

Revision as of 22:26, 21 June 2019

PeterSaveliev.jpg

Hello! My name is Peter Saveliev. I am a professor of mathematics at Marshall University, Huntington WV, USA.

My current projects are these two books:

In part, the latter book is about Discrete Calculus, which is based on a simple idea: $$\lim_{\Delta x\to 0}\left( \begin{array}{cc}\text{ discrete }\\ \text{ calculus }\end{array} \right)= \text{ calculus }.$$ I have been involved in research in algebraic topology and several other fields but nowadays I think this is a pointless activity. My non-academic projects have been: digital image analysis, automated fingerprint identification, and image matching for missile navigation/guidance.


  • Once upon a time, I took a better look at the poster of Drawing Hands by Escher hanging in my office and realized that what is shown isn't symmetric! To fix the problem I made my own picture called Painting Hands:
Correcting Drawing Hands by Escher

Such a symmetry is supposed to be an involution of the $3$-space, $A^2=I$; therefore, its diagonalized matrix has only $\pm 1$ on the diagonal. These are the three cases:

  • (a) One $-1$: mirror symmetry, then pen draws pen. No!
  • (b) Two $-1$s: $180$ degrees rotation, the we have two right (or two left) hands. No!
  • (c) Three $-1$s: central symmetry. Yes!


  • Integer-valued calculus (Can calculus help to determine if the universe is non-orientable?), an essay making a case for discrete calculus by appealing to topology and physics.
Mirror image of man.png
Political spectrum as circle distorted D.png



Note: I am frequently asked, what should "Saveliev" sound like? I used to care about that but got over that years ago. The one I endorse is the most popular: "Sav-leeeeeev". Or, simply call me Peter.