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Articles 31 - 60 of 84
Full-Text Articles in Education
Gauss And Cauchy On Complex Integration, Dave Ruch
Gauss And Cauchy On Complex Integration, Dave Ruch
Complex Variables
No abstract provided.
Euler's Square Root Laws For Negative Numbers, Dave Ruch
Euler's Square Root Laws For Negative Numbers, Dave Ruch
Complex Variables
No abstract provided.
Riemann's Development Of The Cauchy-Riemann Equations, Dave Ruch
Riemann's Development Of The Cauchy-Riemann Equations, Dave Ruch
Complex Variables
No abstract provided.
The Mobius Function And Mobius Inversion, Carl Lienert
The Mobius Function And Mobius Inversion, Carl Lienert
Number Theory
No abstract provided.
Playfair's Introduction Of Bar And Pie Charts To Represent Data, Diana White, River Bond, Joshua Eastes, Negar Janani
Playfair's Introduction Of Bar And Pie Charts To Represent Data, Diana White, River Bond, Joshua Eastes, Negar Janani
Statistics and Probability
No abstract provided.
Representing And Interpreting Data From Playfair, Diana White, River Bond, Joshua Eastes, Negar Janani
Representing And Interpreting Data From Playfair, Diana White, River Bond, Joshua Eastes, Negar Janani
Statistics and Probability
No abstract provided.
Argand's Development Of The Complex Plane, Nicholas A. Scoville, Diana White
Argand's Development Of The Complex Plane, Nicholas A. Scoville, Diana White
Complex Variables
No abstract provided.
Completing The Square: From The Roots Of Algebra, Danny Otero
Completing The Square: From The Roots Of Algebra, Danny Otero
Pre-calculus and Trigonometry
No abstract provided.
Solving Equations And Completing The Square: From The Roots Of Algebra, Danny Otero
Solving Equations And Completing The Square: From The Roots Of Algebra, Danny Otero
Pre-calculus and Trigonometry
No abstract provided.
Regression To The Mean, Dominic Klyve
Regression To The Mean, Dominic Klyve
Statistics and Probability
No abstract provided.
An Introduction To The Algebra Of Complex Numbers And The Geometry In The Complex Plane, Nicholas A. Scoville, Diana White
An Introduction To The Algebra Of Complex Numbers And The Geometry In The Complex Plane, Nicholas A. Scoville, Diana White
Complex Variables
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.
The Logarithm Of -1, Dominic Klyve
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.
Seeing And Understanding Data, Beverly Wood, Charlotte Bolch
Seeing And Understanding Data, Beverly Wood, Charlotte Bolch
Statistics and Probability
No abstract provided.
Yeast: The Gateway To Redefining And Improving Biology Labs, Connor Loomis
Yeast: The Gateway To Redefining And Improving Biology Labs, Connor Loomis
Biology Summer Fellows
Building off of collegiate research performed during the summer of 2018, this lesson plan outlines a lab for secondary students using yeast. Yeast is an affordable and convenient organism to introduce to secondary education, and students can learn a lot about biology through it. Essentially, the goal of the lab is for students to explore the effects of certain substances on the growth of yeast. While content is emphasized, this lesson plan also looks to build students’ understanding of science in general as well as proper laboratory skills and technique. In addition, it pushes students in their thinking as they …
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.
Quantifying Certainty: The P-Value, Dominic Klyve
Quantifying Certainty: The P-Value, Dominic Klyve
Statistics and Probability
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.