knots mathematics with a twist harvard by alexei sossinsky who is a professor of mathematics at the university of moscow this work is translated by giselle weiss demonstrates well the complexity of a field that might at first seem unpromising but actually has important relevance to the real world. Mathematics with a twist that can be your partner knots mathematics with a twist in mathematics a knot is an embedding of a topological circle s 1 in 3 dimensional euclidean space r 3 also known as e 3 considered up to continuous deformations a crucial difference between the standard mathematical and conventional notions of a knot is . What a beautiful little book of course knot theory is an inherently attractive subject the objects of study are concrete and physically appealing the ideas are clever and beautiful and many of them can be understood without extensive mathematical background there is an abundance of open problems and there are important modern applications both in mathematics and in biology chemistry and