VERY GOOD: The book is in very good condition, with only slight fading around the spine. It is printed on acid-free paper.
Product Details
From the back cover: "This is the English translation of the book originally published in Russian. It contains 20 essays, each dealing with a separate mathematical topic. The topics range from brilliant mathematical statements with interesting proofs, to simple and effective methods of problem-solving, to interesting properties of polynomials, to exceptional points of the triangle. Many of the topics have a long and interesting history. The author has lectured on them to students worldwide.
"The essays are independent of one another for the most part, and each presents a vivid mathematical result that led to current research in number theory, geometry, polynomial algebra, or topology."
The book belongs to the Mathematical World series. "Each essay begins with a vivid result accessible to high school students" and is "intended for math oriented high school students, math teachers at the secondary school and university level, college undergraduates and all lovers of mathematics."
ESSAYS
Conjugate Numbers
Rational Parametrizations of the Circle
Sums of Squares of Polynomials
Representing Numbers as the Sum of Two Squares
Can Any Knot Be Unraveled?
Construction of a Regular 17-gon
The Markov Equation
Integer-Valued Polynomials
Chebyshev Polynomials
Vectors in Geometry
The Averaging Method and Geometric Inequalities
Intersection Points of the Diagonals of Regular Polygons
The Chromatic Polynomial of a Graph
Brocard Points
Diophantine Equations for Polynomials
The Pascal Lines
One Butterfly and Two Butterfly Theorems
The Van der Waerden Theorem on Arithmetical Progression
