Mathematical Reflections – Archive

2021 Issues

Mathematical Reflections - Issue 3 2021
Article #1

Cubic Polynomials Revisited
by Maitreyo Bhattacharjee

Download this article.

Article #2


by

Download this article.

Problem Column

The deadline for submissions is July 15, 2021

Download the problem column.

Solutions

Coming soon

Additional Resources
If you want to learn more about polynomials...
Mathematical Reflections – Issue 2 2021
Article #1

Additive Functions on Domains
by Navid Safaei

Download this article.

Article #2


by

Download this article.

Problem Column

The deadline for submissions is May 15, 2021

Download the problem column.

Solutions

Solutions to Mathematical Reflections 1, 2021:

Download last issue’s solutions.

Additional Resources
Learn more about Functional Equations from…
Mathematical Reflections – Issue 1 2021
Article #1

A Tetrahedron Whose Faces Have Equal Area Is “Equifacial”
by Titu Andreescu and Marian Tetiva

Download this article.

Article #2


by

Download this article.

Problem Column

The deadline for submissions is March 15, 2021

Download the problem column.

Solutions

Solutions to Mathematical Reflections 6, 2020:

Download last issue’s solutions.

Additional Resources
Discover natural mathematical vistas…
2020 Issues

Mathematical Reflections – Issue 6 2020
Article #1

Anti-Steiner Point Revisited
by Nguyen Duc Toan

Download this article.

Article #2

Triangle BIC
by Shuborno Das, Aditya Khurmi, Aatman Supkar, Arindam Bhattacharyya

Download this article.

Problem Column

The deadline for submissions is January 15, 2021

Download the problem column.

Solutions

Solutions to Mathematical Reflections 5, 2020:

Download last issue’s solutions.

Additional Resources
Learn more geometry from…
Mathematical Reflections – Issue 5 2020
Article #1

Counting with the Aid of Cyclotomic Polynomials
by İlker Can Çiçek

Download this article.

Article #2

by

Download this article.

Problem Column

The deadline for submissions is November 15, 2020

Download the problem column.

Solutions

Solutions to Mathematical Reflections 4, 2020:

Download last issue’s solutions.

Additional Resources
Learn more about polynomials…
Mathematical Reflections – Issue 4 2020
Article #1

Solving Problems by Looking at a Discriminant
by Jose Hernandez Santiago

Download this article.

Article #2

The Continuous Solutions of Cauchy’s Functional Equation Using a Simple Geometric Argument
by Martin Celli

Download this article.

Problem Column

The deadline for submissions is September 15, 2020

Download the problem column.

Solutions

Solutions to Mathematical Reflections 3, 2020:

Download last issue’s solutions.

Mathematical Reflections – Issue 3 2020
Article #1

Polar Duality in Olympiad Geometry
by Radek Olšák

Download this article.

Article #2

Short Introduction to Deep Learning and its Math – Part II
by Branislav Kisacanin

Download this article.

Problem Column

The deadline for submissions is July 15, 2020

Download the problem column.

Solutions

Solutions to Mathematical Reflections 2, 2020:

Download last issue’s solutions.

Mathematical Reflections – Issue 2 2020
Article #1

On Mixtilinear Incircles
by Jafet Baca

Download this article.

Article #2

Short Introduction to Deep Learning and its Math
by Branislav Kisacanin

Download this article.

Problem Column

The deadline for submissions is May 15, 2020

Download the problem column.

Solutions

Solutions to Mathematical Reflections 1, 2020:

Download last issue’s solutions.

Mathematical Reflections – Issue 1 2020
Article #1

A Geometric Interpretation of Some Polynomial Equations
by Navid Safaei

Download this article.

Article #2

by

Download this article.

Problem Column

The deadline for submissions is March 15, 2020

Download the problem column.

Solutions

Solutions to Mathematical Reflections 6, 2019:

Download last issue’s solutions.

2019 Issues

Mathematical Reflections – Issue 6 2019
Article #1

Ptolemy’s Sine Lemma
by Fedir Yudin and Nikita Skybytskyi

Download this article.

Article #2

by

Download this article.

Problem Column

The deadline for submissions is January 15, 2020

Download the problem column.

Solutions

Solutions to Mathematical Reflections 5, 2019:

Download last issue’s solutions.

Mathematical Reflections – Issue 5 2019
Article #1

On a Property of the Primitive Roots of Unity Leading to the Evaluation of Ramanujan’s Sums
by Titu Andreescu and Marian Tetiva

Download this article.

Article #2


by

Download this article.

Problem Column

The deadline for submissions is November 15, 2019

Download the problem column.

Solutions

Solutions to Mathematical Reflections 4, 2019:

Download last issue’s solutions.

Mathematical Reflections – Issue 4 2019
Article #1

Best Polynomial Estimates in a Triangle
by Titu Andreescu and Oleg Mushkarov

Download this article.

Article #2


by

Download this article.

Problem Column

The deadline for submissions is September 15, 2019

Download the problem column.

Solutions

Solutions to Mathematical Reflections 3, 2019:

Download last issue’s solutions.

Mathematical Reflections – Issue 3 2019
Article #1

Joining the Incenter and Orthocenter Configurations: Properties Associated with a Tangential Quadrilateral
by Andrew Wu

Download this article.

Article #2


by

Download this article.

Problem Column

The deadline for submissions is July 15, 2019

Download the problem column.

Solutions

Solutions to Mathematical Reflections 2, 2019:

Download last issue’s solutions.

Mathematical Reflections – Issue 2 2019
Article #1

Linear Approximation Implies Unique Solution
by Titu Andreescu and Marian Tetiva

Download this article.

Article #2

Discrete Approach to a Result Concerning a Contour Integral
by Navid Safaei

Download this article.

Problem Column

The deadline for submissions is May 15, 2019

Download the problem column.

Solutions

Solutions to Mathematical Reflections 1, 2019:

Download last issue’s solutions.

Mathematical Reflections – Issue 1 2019
Article #1

On a Special Center of Spiral Similarity
by Jafet Baca

Download this article.

Article #2


by

Download this article.

Problem Column

The deadline for submissions is March 15, 2019

Download the problem column.

Solutions

Solutions to Mathematical Reflections 6, 2018:

Download last issue’s solutions.