Solutions to review problems


This page contains solutions to some problems from mathematical periodicals and contests (including some problems I proposed myself). Problems are usually rewritten in order to avoid excessive quoting and often to homogenize the notations used in a problem and its solution.


Mathematical Reflections


The American Mathematical Monthly


Elemente der Mathematik


Project PEN (Problems in Elementary Number Theory)


Octogon

This was a Vietnamese project at creating a journal for mathematical problems. Sadly, it has not kicked off.

Problems from the Book (diverse mathematical problems)


Putnam contest


QED-Mathematikolympiade (click here for a description of this contest)

Solutions to several problems in German


Other problems and solutions


Some AoPS/MathLinks solutions

a graph with 2n+1 vertices | some inequalities for 2 triangles | a combinatorial identity from number theory | an Oddtown variation for acyclic graphs | a nonstandard inequality | generalizing a BMO problem | ARO 2005 10.2 combinatorics | an unwieldy proof for an unwieldy combinatorial identity | generalizing the ordered Shapiro inequality | a double count | rearrangement inequality redux |


All sources: Mathematical Reflections, American Mathematical Monthly, QEDMO, PFTB and PEN.

Related works


Solutions to review problems

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Darij Grinberg