"I love Mathematics Is A Science"

2022-05-14 09:57:41

This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.Peter SavelievFrom Mathematics Is A ScienceJump to navigationJump to searchHello! My name is Peter Saveliev (rhymes with “leave”). I am a professor of mathematics at Marshall University, Huntington WV, USA. Books:Topology Illustrated (Note: Because of the employment situation, the second edition is postponed until 2024+.)Calculus IllustratedVolume 1 Precalculus Volume 2 Differential CalculusVolume 3 Integral CalculusVolume 4 Calculus in Higher Dimensions Volume 5 Differential EquationsHow Swords CutLinear Algebra IllustratedElementary 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 pdfThese are sold on Amazon: $\ $ $\ $ $\ $ $\ $ $\ $ $\ $ $\ $ 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.EmailTwitterRetrieved from "https://calculus123.com/index.php?title=Peter_Saveliev&oldid=7272"Category: MathematicsNavigation menuPage actionsMain pageDiscussionView sourceHistoryPage actionsMain pageDiscussionMoreToolsPersonal toolsLog inNavigationCalculus bookDiscrete calculusTopology bookClassesImage analysisAboutSearchToolsWhat links hereRelated changesSpecial pagesPrintable versionPermanent linkPage informationCite this page This page was last edited on 7 May 2022, at 16:46.© Copyright 2007-2010 Peter Saveliev and Intelligent Perception. No part of this website may be reproduced, distributed, performed, publicly displayed, or made into a derivative work without the explicit permission of Peter Saveliev.Privacy policyAbout Mathematics Is A ScienceDisclaimers