Differential Equations

Differential Equations

A differential equation is an equation that defines the relationship between a function and its derivative. They are useful and essential tools in physics and engineering.¹

Fast Facts

One prominent contributor was Sir Isaac Newton¹
Used in applied mathematics, physics, economics and engineering
First developed in the 1630s¹
Solved by integration¹

History

In 1630s, the idea of finding a tangent to a curve was first explored in a calculus-like method by Gilles Persone de Roberval. In the same time period, Pierre de Fermat developed an understanding to the tangent of a curve using the concept of the infinitesimal, the idea that something could be infinitely divided into smaller and smaller segments. Sir Isaac Newton and Gottfried Wilhelm Leibniz further defined Fermat's method enabling its application.¹

Categories

Science | Mathematics | School Subjects | Education

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The Mahalo Top 7

Wikipedia: Differential Equation
Wolfram MathWorld: Differential Equation
S.O.S Mathematics: Differential Equations
Lamar University: Paul's Online Math Notes: Differential Equations
Georgia State University: Differential Equations
Ohio State University: An Introduction to Differential Equations
YouTube Video: Series Solutions of Differential Equations Mini-Lecture (Time: 9:03)

Differential Equations Recent News

Google News: Differential Equations
Wolfram Research: Differential Equations, Live and in Color
Live Science: Inside Movie Animation: Simulating 128 Billion Elements (December 24, 2007)
ABC: News in Science - Maths Genius Tames Complex Systems (May 27, 2005)

Differential Equations History

MFO: The History of Differential Equations, 1670–1950 (517.5 KB)
Worcester Polytechnic Institute: History of the Differential from the 17th Century
Wikipedia: History of Numerical Solution of Differential Equations Using Computers

Notable Figures in Differential Equations

Isaac Newton

Mahalo's guide to Sir Isaac Newton
Wikipedia: Isaac Newton | Newton's Law of Motion
University of St. Andrews: Isaac Newton

Pierre-Simon Laplace

Wikipedia: Pierre-Simon Laplace | Laplace's Equation
University of St. Andrews: Pierre-Simon Laplace
Trinity College Dublin: Pierre-Simon Laplace

Albert Einstein

Mahalo's guide to Albert Einstein
Wikipedia: Albert Einstein | Einstein Field Equations
University of St. Andrews: Albert Einstein

William Rowan Hamilton

Wikipedia: William Rowan Hamilton | Hamilton's Equations
University of St. Andrews: William Rowan Hamilton
Trinity College Dublin: William Rowan Hamilton

Augustin Cauchy

Wikipedia: Augustin Cauchy | Cauchy-Riemann Equations
University of St. Andrews: Augustin Cauchy
Seton Hall University: Augustin Cauchy

Bernhard Riemann

Wikipedia: Bernhard Riemann | Cauchy-Riemann Equations
University of St. Andrews: Bernhard Riemann
United States Naval Academy: Bernhard Riemann

Differential Equations Research

Rice University: Research Focus : Differential Equations
University of Cambridge: Applied Partial Differential Equations Research Group
UCLA: NSF Research Training Group in Applied Differential Equations and Scientific Computing
Iowa State University: Research on Inverse Problems for Differential Equations
ERCIM News: Partial Differential Equations in Porous Media Research (July, 1998)

Differential Equations Education Resources

Pearson Education: Interactive Differential Equations
EQWorld: Ordinary Differential Equations
Texas A & M University: Differential Equations Tutorials
Get HomeWork Help: Differential Equations Homework Help
Efunda: Ordinary Differential Equations
University of Massachusetts Dartmouth: Tutorial Solving Differential Equations

Differential Equations Photos and Videos

Google Image Search: Differential Equations
Yahoo! Image Search: Differential Equations
Live Search Images: Differential Equations
YouTube & Google Video Search: Differential Equations
YouTube: First Order Differential Equations (Time: 9:03)
YouTube: OpenLearn: Maths Unit --Differential Equations #3 (Time: 3:55)

Differential Equations Blogs and Forums

Google Blog Search: Differential Equations
The Math Forum: Differential Equations
Physics, Astronomy, Math & Philosophy Forums: Differential Equations
Physics Forums: Differential Equations
S.O.S Mathematics: S.O.S Mathematics Cyberboard - Differential Equations
5 1/2 Blog: A Moment of Genius: Partial Differential Equations and Flash 8 Filters

Differential Equations Books and Publications

The Mathematical Association of America: Basic Library List - Differential Equations
Google Book Search: Differential Equations Books
Amazon.com: Differential Equations Books
eBay: Differential Equations Books
Wolfram World Wide Web Store: Differential Equations Books
Wikibooks: Differential Equations
BestBookBuys: Differential Equations Books

Differential Equations Theories

The Modeling Workshop: Differential Equations - Theory
University of Oxford: The Theory of Exponential Differential Equations
Stanford University: Theories Given by Differential e|Equations

Related Pages on Mahalo

Calculus | Mathematics | Algebra | Linear Algebra | Sir Isaac Newton | Albert Einstein

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