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Articles 1 - 30 of 48
Full-Text Articles in Education
Lagrange’S Study Of Wilson’S Theorem, Carl Lienert
Lagrange’S Study Of Wilson’S Theorem, Carl Lienert
Number Theory
No abstract provided.
Lagrange’S Proof Of The Converse Of Wilson’S Theorem, Carl Lienert
Lagrange’S Proof Of The Converse Of Wilson’S Theorem, Carl Lienert
Number Theory
No abstract provided.
Lagrange’S Proof Of Wilson’S Theorem—And More!, Carl Lienert
Lagrange’S Proof Of Wilson’S Theorem—And More!, Carl Lienert
Number Theory
No abstract provided.
Lagrange’S Alternate Proof Of Wilson’S Theorem, Carl Lienert
Lagrange’S Alternate Proof Of Wilson’S Theorem, Carl Lienert
Number Theory
No abstract provided.
Understanding Compactness Through Primary Sources: Early Work Uniform Continuity To The Heine-Borel Theorem, Naveen Somasunderam
Understanding Compactness Through Primary Sources: Early Work Uniform Continuity To The Heine-Borel Theorem, Naveen Somasunderam
Analysis
No abstract provided.
The French Connection: Borda, Condorcet And The Mathematics Of Voting Theory, Janet Heine Barnett
The French Connection: Borda, Condorcet And The Mathematics Of Voting Theory, Janet Heine Barnett
General Education and Liberal Studies
No abstract provided.
Stitching Dedekind Cuts To Construct The Real Numbers, Michael P. Saclolo
Stitching Dedekind Cuts To Construct The Real Numbers, Michael P. Saclolo
Analysis
No abstract provided.
Cross-Cultural Comparisons: The Art Of Computing The Greatest Common Divisor, Mary K. Flagg
Cross-Cultural Comparisons: The Art Of Computing The Greatest Common Divisor, Mary K. Flagg
Number Theory
No abstract provided.
Investigations Into D'Alembert's Definition Of Limit (Real Analysis Version), Dave Ruch
Investigations Into D'Alembert's Definition Of Limit (Real Analysis Version), Dave Ruch
Analysis
No abstract provided.
Investigations Into Bolzano's Bounded Set Theorem, Dave Ruch
Investigations Into Bolzano's Bounded Set Theorem, Dave Ruch
Analysis
No abstract provided.
The Mobius Function And Mobius Inversion, Carl Lienert
The Mobius Function And Mobius Inversion, Carl Lienert
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 (Non-Calculus Version), Dominic Klyve
How To Calculate Pi: Buffon's Needle (Non-Calculus Version), Dominic Klyve
Pre-calculus and Trigonometry
No abstract provided.
Greatest Common Divisor: Algorithm And Proof, Mary K. Flagg
Greatest Common Divisor: Algorithm And Proof, Mary K. Flagg
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.
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.
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.
Nearness Without Distance, Nicholas A. Scoville
Determining The Determinant, Danny Otero
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 Knudsen, Keith Jones
The Pell Equation In India, Toke Knudsen, 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.
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 (1789-1857). 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.
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.
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.
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.
Construction Of The Figurate Numbers, Jerry Lodder
Construction Of The Figurate Numbers, 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.
Pascal's Triangle And Mathematical Induction, Jerry Lodder
Pascal's Triangle And Mathematical Induction, Jerry Lodder
Number Theory
No abstract provided.