This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

Difference between revisions of "Peter Saveliev"

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*-Why is discrete calculus better than infinitesimal calculus? -Why? -Because it can be integer-valued! -And? -And the integer-valued calculus can detect if the space is non-orientable! Read [[Integer-valued calculus]], an essay making a case for discrete calculus by appealing to topology and physics.
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* - Why is discrete calculus better than infinitesimal calculus? - Why? - Because it can be integer-valued! - And? - And the integer-valued calculus can detect if the space is non-orientable! Read [[Integer-valued calculus]], an essay that makes a case for discrete calculus by appealing to topology and physics.
  
 
[[image:mirror image of man.png| center]]
 
[[image:mirror image of man.png| center]]
  
*-The political “spectrum” might be a circle!- So? -Then there can be no fair decision-making system! Read [[The political spectrum is a circle]], an essay based on the very last section of the topology book.
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* - The political “spectrum” might be a circle! - So? - Then there can be no fair decision-making system! Read [[The political spectrum is a circle]], an essay based on the very last section of the topology book.
  
 
[[image:Political_spectrum_as_circle_distorted_D.png| center]]
 
[[image:Political_spectrum_as_circle_distorted_D.png| center]]
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*[http://users.marshall.edu/~saveliev/vita.pdf Vita]
 
*[http://users.marshall.edu/~saveliev/vita.pdf Vita]
 
*[mailto:saveliev@marshall.edu Email]
 
*[mailto:saveliev@marshall.edu Email]
 
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*[https://twitter.com/PeterSaveliev Twitter](MATH ONLY)
  
 
Note: I am frequently asked, what should "[[Sabellius|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''.
 
Note: I am frequently asked, what should "[[Sabellius|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''.
  
 
[[category: Mathematics]]
 
[[category: Mathematics]]

Latest revision as of 12:55, 7 November 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!


  • - Why is discrete calculus better than infinitesimal calculus? - Why? - Because it can be integer-valued! - And? - And the integer-valued calculus can detect if the space is non-orientable! Read Integer-valued calculus, an essay that makes a case for discrete calculus by appealing to topology and physics.
Mirror image of man.png
  • - The political “spectrum” might be a circle! - So? - Then there can be no fair decision-making system! Read The political spectrum is a circle, an essay based on the very last section of the topology book.
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.