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Articles 1  30 of 38
FullText Articles in Education
Greatest Common Divisor: Algorithm And Proof, Mary K. Flagg
Greatest Common Divisor: Algorithm And Proof, Mary K. Flagg
Number Theory
No abstract provided.
Connectedness Its Evolution And Applications, Nicholas A. Scoville
Connectedness Its Evolution And Applications, Nicholas A. Scoville
Topology
No abstract provided.
How To Calculate Pi: Buffon's Needle (NonCalculus Version), Dominic Klyve
How To Calculate Pi: Buffon's Needle (NonCalculus Version), Dominic Klyve
Precalculus and Trigonometry
No abstract provided.
Dual Perspectives On Desargues' Theorem, Carl Lienert
The Origin Of The Prime Number Theorem, Dominic Klyve
The Origin Of The Prime Number Theorem, Dominic Klyve
Number Theory
No abstract provided.
Otto Holder's Formal Christening Of The Quotient Group Concept, Janet Heine Barnett
Otto Holder's Formal Christening Of The Quotient Group Concept, Janet Heine Barnett
Abstract Algebra
No abstract provided.
From Sets To Metric Spaces To Topological Spaces, Nicholas A. Scoville
From Sets To Metric Spaces To Topological Spaces, Nicholas A. Scoville
Topology
No abstract provided.
Determining The Determinant, Danny Otero
Nearness Without Distance, Nicholas A. Scoville
The Roots Of Early Group Theory In The Works Of Lagrange, Janet Heine Barnett
The Roots Of Early Group Theory In The Works Of Lagrange, Janet Heine Barnett
Abstract Algebra
No abstract provided.
The Pell Equation In India, Toke Knudson, Keith Jones
The Pell Equation In India, Toke Knudson, Keith Jones
Number Theory
No abstract provided.
Generating Pythagorean Triples: A Gnomonic Exploration, Janet Heine Barnett
Generating Pythagorean Triples: A Gnomonic Exploration, Janet Heine Barnett
Number Theory
No abstract provided.
Gaussian Integers And Dedekind's Creation Of An Ideal: A Number Theory Project, Janet Heine Barnett
Gaussian Integers And Dedekind's Creation Of An Ideal: A Number Theory Project, Janet Heine Barnett
Number Theory
No abstract provided.
The Definite Integrals Of Cauchy And Riemann, Dave Ruch
The Definite Integrals Of Cauchy And Riemann, Dave Ruch
Analysis
Rigorous attempts to define the definite integral began in earnest in the early 1800's. One of the pioneers in this development was A. L. Cauchy (17891857). In this project, students will read from his 1823 study of the definite integral for continuous functions . Then students will read from Bernard Riemann's 1854 paper, in which he developed a more general concept of the definite integral that could be applied to functions with infinite discontinuities.
Pascal's Triangle And Mathematical Induction, Jerry Lodder
Pascal's Triangle And Mathematical Induction, Jerry Lodder
Number Theory
No abstract provided.
Generating Pythagorean Triples: The Methods Of Pythagoras And Of Plato Via Gnomons, Janet Heine Barnett
Generating Pythagorean Triples: The Methods Of Pythagoras And Of Plato Via Gnomons, Janet Heine Barnett
Number Theory
No abstract provided.
Primes, Divisibility, And Factoring, Dominic Klyve
Primes, Divisibility, And Factoring, Dominic Klyve
Number Theory
No abstract provided.
Babylonian Numeration, Dominic Klyve
Construction Of The Figurate Numbers, Jerry Lodder
Construction Of The Figurate Numbers, Jerry Lodder
Number Theory
No abstract provided.
The Closure Operation As The Foundation Of Topology, Nicholas A. Scoville
The Closure Operation As The Foundation Of Topology, Nicholas A. Scoville
Topology
No abstract provided.
A Compact Introduction To A Generalized Extreme Value Theorem, Nicholas A. Scoville
A Compact Introduction To A Generalized Extreme Value Theorem, Nicholas A. Scoville
Topology
In a short paper published just one year prior to his thesis, Maurice Frechet gives a simple generalization one what we might today call the Extreme value theorem. This generalization is a simple matter of coming up with ``the right" definitions in order to make this work. In this mini PSP, we work through Frechet's entire 1.5 page paper to give an extreme value theorem in more general topological spaces, ones which, to use Frechet's newly coined term, are compact.
Solving A System Of Linear Equations Using Ancient Chinese Methods, Mary Flagg
Solving A System Of Linear Equations Using Ancient Chinese Methods, Mary Flagg
Linear Algebra
No abstract provided.
Rigorous Debates Over Debatable Rigor: Monster Functions In Introductory Analysis, Janet Heine Barnett
Rigorous Debates Over Debatable Rigor: Monster Functions In Introductory Analysis, Janet Heine Barnett
Analysis
No abstract provided.
Investigating Difference Equations, Dave Ruch
Investigating Difference Equations, Dave Ruch
Discrete Mathematics
No abstract provided.
Bolzano's Definition Of Continuity, His Bounded Set Theorem, And An Application To Continuous Functions, Dave Ruch
Analysis
No abstract provided.
The Mean Value Theorem, Dave Ruch
Euler's Rediscovery Of E With Instructor Notes, Dave Ruch
Euler's Rediscovery Of E With Instructor Notes, Dave Ruch
Analysis
No abstract provided.
An Introduction To A Rigorous Definition Of Derivative, Dave Ruch
An Introduction To A Rigorous Definition Of Derivative, Dave Ruch
Analysis
No abstract provided.
Abel And Cauchy On A Rigorous Approach To Infinite Series, Dave Ruch
Abel And Cauchy On A Rigorous Approach To Infinite Series, Dave Ruch
Analysis
No abstract provided.
Investigations Into D'Alembert's Definition Of Limit: A Student Project With Primary Sources, Dave Ruch
Investigations Into D'Alembert's Definition Of Limit: A Student Project With Primary Sources, Dave Ruch
Analysis
No abstract provided.