This site is being phased out.
Difference between revisions of "Peter Saveliev"
From Mathematics Is A Science
Jump to navigationJump to search| Line 6: | Line 6: | ||
Classes: | Classes: | ||
| − | *MATH 132 Precalculus with Science Applications | + | *MATH 132 Precalculus with Science Applications |
| − | *MATH 140 Applied Calculus | + | *MATH 140 Applied Calculus |
| − | *MATH 335 Ordinary Differential Equations | + | *MATH 335 Ordinary Differential Equations |
Books: | Books: | ||
| Line 20: | Line 20: | ||
*''How Swords Cut'' | *''How Swords Cut'' | ||
*''Linear Algebra Illustrated'' | *''Linear Algebra Illustrated'' | ||
| + | *''PROOFS. Welcome to Mathematics'' | ||
*''Elementary Discrete Calculus'': How far we can go without limits? For now, I just picked enough material for these three chapters from the first 3 volumes of Calculus Illustrated. [https://www.dropbox.com/s/k4hdqqixming8ls/EDC.pdf pdf] | *''Elementary Discrete Calculus'': How far we can go without limits? For now, I just picked enough material for these three chapters from the first 3 volumes of Calculus Illustrated. [https://www.dropbox.com/s/k4hdqqixming8ls/EDC.pdf pdf] | ||
$$\lim_{\Delta x\to 0}\left( \begin{array}{cc}\text{ discrete }\\ \text{ calculus }\end{array} \right)= \text{ calculus }$$ | $$\lim_{\Delta x\to 0}\left( \begin{array}{cc}\text{ discrete }\\ \text{ calculus }\end{array} \right)= \text{ calculus }$$ | ||
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**Chapter 5 Differentiation and Integration [https://www.dropbox.com/s/zt1n4x1mninvndi/ch5.pdf?dl=0 pdf] | **Chapter 5 Differentiation and Integration [https://www.dropbox.com/s/zt1n4x1mninvndi/ch5.pdf?dl=0 pdf] | ||
**Chapter 6 Applications [https://www.dropbox.com/s/dkj8lkjo9uojawi/ch6.pdf?dl=0 pdf]--> | **Chapter 6 Applications [https://www.dropbox.com/s/dkj8lkjo9uojawi/ch6.pdf?dl=0 pdf]--> | ||
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These are sold on Amazon: | These are sold on Amazon: | ||
| − | [[image:front cover.png|x150px|link=http://www.amazon.com/dp/1495188752]] $\ $ [[image:Calculus Illustrated v1.png|x150px|link=https://www.amazon.com/dp/B082WKCYHY]] $\ $ [[image:Calculus Illustrated v2.png|x150px|link=https://www.amazon.com/dp/B0848P8WKF]] $\ $ [[image:Calculus Illustrated v3.png|x150px|link=https://www.amazon.com/gp/product/B08BQXW9XJ]] $\ $ [[image:HSCcover.png|x150px|link=https://www.amazon.com/dp/B08CCHRHFC]] $\ $ [[image:LAcover.png|x150px|link=https://www.amazon.com/dp/B08CL4H9M2]]$\ $[[image:v4.png|x150px|link=https://www.amazon.com/dp/B08FGQFXMX/]] $\ $ [[image:v5.png|x150px|link=https://www.amazon.com/dp/B08FJH5XLS]] | + | [[image:front cover.png|x150px|link=http://www.amazon.com/dp/1495188752]] $\ $ [[image:Calculus Illustrated v1.png|x150px|link=https://www.amazon.com/dp/B082WKCYHY]] $\ $ [[image:Calculus Illustrated v2.png|x150px|link=https://www.amazon.com/dp/B0848P8WKF]] $\ $ [[image:Calculus Illustrated v3.png|x150px|link=https://www.amazon.com/gp/product/B08BQXW9XJ]] $\ $ [[image:HSCcover.png|x150px|link=https://www.amazon.com/dp/B08CCHRHFC]] $\ $ |
| + | |||
| + | [[image:LAcover.png|x150px|link=https://www.amazon.com/dp/B08CL4H9M2]]$\ $[[image:v4.png|x150px|link=https://www.amazon.com/dp/B08FGQFXMX/]] $\ $ [[image:v5.png|x150px|link=https://www.amazon.com/dp/B08FJH5XLS]] $\ $ [[image:proofs1.png|x150px|link=https://www.amazon.com/dp/B0D1QPD84M]] | ||
Latest revision as of 14:02, 15 April 2024
Hello! My name is Peter Saveliev (rhymes with “leave”). Pronouns are available upon request.
I am a professor of mathematics at Marshall University, Huntington WV, USA. But that's just my day job. The projects below are entirely my own.
Classes:
- MATH 132 Precalculus with Science Applications
- MATH 140 Applied Calculus
- MATH 335 Ordinary Differential Equations
Books:
- Topology Illustrated (Note: Due to my day job, the second edition is postponed indefinitely.)
- Calculus Illustrated
- Volume 1 Precalculus
- Volume 2 Differential Calculus
- Volume 3 Integral Calculus
- Volume 4 Calculus in Higher Dimensions
- Volume 5 Differential Equations
- How Swords Cut
- Linear Algebra Illustrated
- PROOFS. Welcome to Mathematics
- Elementary Discrete Calculus: How far we can go without limits? For now, I just picked enough material for these three chapters from the first 3 volumes of Calculus Illustrated. pdf
$$\lim_{\Delta x\to 0}\left( \begin{array}{cc}\text{ discrete }\\ \text{ calculus }\end{array} \right)= \text{ calculus }$$
- One-Semester Calculus (calculus abbreviated/streamlined/simplified/trivialized), lecture notes pdf
These are sold on Amazon:
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- 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:
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. But then pen draws pen. No!
- (b) Two $\ -1$'s: $180$ degrees rotation. But then 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 our universe is non-orientable! Read Integer-valued calculus, an essay that makes a case for discrete calculus by appealing to topology and physics.
- So, what would mathematics look like without fractions?
- - 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.
This page is being phased out.
