Featured Research

from universities, journals, and other organizations

A "Unified Theory" For Calculus

Date:
January 29, 2003
Source:
University Of Missouri-Rolla
Summary:
A University of Missouri-Rolla mathematician's research into a "unified theory" of continuous and discrete calculus is gaining the attention of mathematicians worldwide for numerous applications, including the study of insect populations.

ROLLA, Mo. -- A University of Missouri-Rolla mathematician's research into a "unified theory" of continuous and discrete calculus is gaining the attention of mathematicians worldwide for numerous applications, including the study of insect populations.

Related Articles


Dr. Martin Bohner, an assistant professor of mathematics and statistics at UMR, introduced his work on dynamic equations and time scales at the American Mathematical Society's annual meeting in January 2002 in San Diego. Bohner's paper, "Asymptotic Behavior of Dynamic Equations on Time Scales," was recently cited as "Fast Breaking" by ISI Essential Science Indicators. The designation means the work represents scientific contributions that are just beginning to attract the attention of the scientific community. Bohner co-authored the paper with Dr. Donald Lutz of San Diego State University.

ISI Essential Science Indicators lists highly cited papers in 22 broad fields of science which comprise the top one percent of papers in each field.

Bohner's paper had the highest percentage increase in citations in ISI Essential Science Indicators in the field of mathematics from the second to third bimonthly periods of 2002.

"This paper is part of a fairly new and exciting effort to unify continuous and discrete calculus," says Bohner. "Dynamic equations on time scales have been introduced in order to unify the theories of differential equations and of difference equations and in order to extend those theories to other kinds of so-called 'dynamic equations.'"

The study of time scales has led to such applications as the study of insect population models. "Time scales calculus has a tremendous potential for applications," Bohner says. "It can model insect populations that are continuous while in season, die out in winter, while their eggs are incubating or dormant, and then hatch in a new season, giving rise to a non-overlapping population."

Further applications of time scales include neural networks, heat transfer and epidemic models. "Many researchers are getting interested in this theory and are contributing important results," Bohner says.

At UMR, Bohner teaches a variety of courses in the mathematics and statistics department, including matrix algebra, calculus, differential equations and engineering statistics.

For more information see http://esi-topics.com/fbp/fbp-october2002.html or http://web.umr.edu/~bohner .


Story Source:

The above story is based on materials provided by University Of Missouri-Rolla. Note: Materials may be edited for content and length.


Cite This Page:

University Of Missouri-Rolla. "A "Unified Theory" For Calculus." ScienceDaily. ScienceDaily, 29 January 2003. <www.sciencedaily.com/releases/2003/01/030129081451.htm>.
University Of Missouri-Rolla. (2003, January 29). A "Unified Theory" For Calculus. ScienceDaily. Retrieved March 26, 2015 from www.sciencedaily.com/releases/2003/01/030129081451.htm
University Of Missouri-Rolla. "A "Unified Theory" For Calculus." ScienceDaily. www.sciencedaily.com/releases/2003/01/030129081451.htm (accessed March 26, 2015).

Share This


More From ScienceDaily



More Computers & Math News

Thursday, March 26, 2015

Featured Research

from universities, journals, and other organizations


Featured Videos

from AP, Reuters, AFP, and other news services

AAA: Distracted Driving a Serious Teen Problem

AAA: Distracted Driving a Serious Teen Problem

AP (Mar. 25, 2015) While distracted driving is not a new problem for teens, new research from the AAA Foundation for Traffic Safety says it&apos;s much more serious than previously thought. (March 25) Video provided by AP
Powered by NewsLook.com
Amazon Complains U.S. Is Too Slow To Regulate Drones

Amazon Complains U.S. Is Too Slow To Regulate Drones

Newsy (Mar. 25, 2015) Days after getting approval to test certain commercial drones, Amazon says the Federal Aviation Administration is dragging its feet on the matter. Video provided by Newsy
Powered by NewsLook.com
Facebook Ups Its Messenger Game

Facebook Ups Its Messenger Game

Reuters - Business Video Online (Mar. 25, 2015) Facebook is taking another step towards making its users into consumers for its growing base of advertisers, by expanding its messenger service features. Bobbi Rebell reports. Video provided by Reuters
Powered by NewsLook.com
Smartphone Use Changing Our Brain and Thumb Interaction, Say Researchers

Smartphone Use Changing Our Brain and Thumb Interaction, Say Researchers

Reuters - Innovations Video Online (Mar. 25, 2015) European researchers say our smartphone use offers scientists an ideal testing ground for human brain plasticity. Dr Ako Ghosh&apos;s team discovered that the brains and thumbs of smartphone users interact differently from those who use old-fashioned handsets. Jim Drury went to meet him. Video provided by Reuters
Powered by NewsLook.com

Search ScienceDaily

Number of stories in archives: 140,361

Find with keyword(s):
Enter a keyword or phrase to search ScienceDaily for related topics and research stories.

Save/Print:
Share:

Breaking News:

Strange & Offbeat Stories


Space & Time

Matter & Energy

Computers & Math

In Other News

... from NewsDaily.com

Science News

Health News

Environment News

Technology News



Save/Print:
Share:

Free Subscriptions


Get the latest science news with ScienceDaily's free email newsletters, updated daily and weekly. Or view hourly updated newsfeeds in your RSS reader:

Get Social & Mobile


Keep up to date with the latest news from ScienceDaily via social networks and mobile apps:

Have Feedback?


Tell us what you think of ScienceDaily -- we welcome both positive and negative comments. Have any problems using the site? Questions?
Mobile: iPhone Android Web
Follow: Facebook Twitter Google+
Subscribe: RSS Feeds Email Newsletters
Latest Headlines Health & Medicine Mind & Brain Space & Time Matter & Energy Computers & Math Plants & Animals Earth & Climate Fossils & Ruins