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.

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 September 17, 2014 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 September 17, 2014).

Share This



More Computers & Math News

Wednesday, September 17, 2014

Featured Research

from universities, journals, and other organizations


Featured Videos

from AP, Reuters, AFP, and other news services

FBI Finishes $1 Billion Facial Recognition System

FBI Finishes $1 Billion Facial Recognition System

Newsy (Sep. 15, 2014) The FBI announced it plans to make its Next Generation Identification System available to law enforcement, but some privacy advocates are worried. Video provided by Newsy
Powered by NewsLook.com
A+ for Apple iPhone Pre-Sales

A+ for Apple iPhone Pre-Sales

Reuters - Business Video Online (Sep. 15, 2014) Apple says it received a record 4 million first-day pre-orders for its new iPhone 6 and iPhone 6 Plus, pushing delivery dates into October. Bobbi Rebell reports. Video provided by Reuters
Powered by NewsLook.com
Microsoft to Buy 'Minecraft' Maker for $2.5B

Microsoft to Buy 'Minecraft' Maker for $2.5B

AP (Sep. 15, 2014) Microsoft will acquire the maker of the long-running hit game Minecraft for $2.5 billion as the company continues to invest in its Xbox gaming platform and looks to grab attention on mobile phones. (Sept. 15) Video provided by AP
Powered by NewsLook.com
Manufacturer Prints 3-D Car In Record Time

Manufacturer Prints 3-D Car In Record Time

Newsy (Sep. 15, 2014) Automobile manufacturer Local Motors created a drivable electric car using a 3-D printer. Printing the body only took 44 hours. Video provided by Newsy
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:
from the past week

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