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In a similar manner to amateur theory, there is little represen- tation for the amateur mathe- matician.
The Mathematics Corner is an attempt to address this issue. Not only will you find topics of interest, but also theory chal- lenges and their answers, and a list of references in the form of books and web sites.

GEORGE HRABOVSKY

A lifelong scholar and writer, George is an adjunct professor and is president of the SAS branch in Madison, WI called Madison Area Science and Technology (MAST). In addition to writing two columns, he also does research into theoretical physics, astrophysics, meteo- rology, mathematics, scientific computation, science education, biochemistry, and microbiology.

Updated 26 August 2005
How are Integrals and Derivatives Related?

by George E. Hrabovsky, President, MAST

A Google search of the word"integrals" brings up several words that could be different types of integrals. I also used MathWorld [1]. More.

What does f ' (n) mean?
How do we Use Limits?
What do the boundedness and monotonicity of a sequence have to do with limits?
What is the Boundedness and Monotonicity of a Sequence?
How do we use limits?

What is infinity?
What is a Fuction?
What IS the Riemann Hypothesis?

The Return of the Mathematics Corner

The Geometry of Differential Equations

More About Plane Curves and Vectors
More About Integral Curves

Integral Curves and Differential Equations
Integration by Substitution
Integral Curves and Differential Equations
Integration by Substitution
The Chain Rule
Differential Equations in General
Initial-Value Problems
A Trickier Separation
A Fundamental Principle and Separation
A New Year, A New Column
A Reality Check and a Look Inside of Mathematics
Notions of Integration
Extreme Values of Functions
Extreme Values of Functions II
Three More Rules
The Sum of Derivatives
The Derivative
Continuity
Limits at Infinity
Adding Infinities
Properties of Extreme Limits
Extreme Limits
Putting Limits Together
Limits By Themselves
The Nitty Gritty
When Things Get One-Sided
Those Little Details
How Close Can We Get?

How Many Ways are There to Choose 2 Objects from 6
Will the Real Function Please Stand Up
A New Start
Order and Algebraic Structures
Order and Groups
Order Structure
Order Structures II
Another Look at Functions
More Algebraic Structure
A Little Bit of Structure
The Real Numbers
And Now a Little Geometry
Infinite Sets
Functions and Relations
Sequences of Numbers
The Irrational Numbers
The Rational Numbers
The Natural Numbers and Beyond
The Beginning of Numbers
All in the Family
Combining Sets
Existence and Universality
The Proof is in the...
Setting up for the Future
Welcome to the Mathematics Corner

   
Copyright 2005 by Society for Amateur Scientists