The applications of topological techniques for understanding molecular structures have become increasingly important since the 1960s. In this topology text, the reader can learn about knot theory, 3-dimensional manifolds, and the topology of embedded graphs, while learning the role these play in understanding molecular structures. Most of the results that are described in the text are motivated by questions asked by chemists or molecular biologists, though the results themselves often go beyond answering the original question asked. There is no specific mathematical or chemical prerequisite;...
The applications of topological techniques for understanding molecular structures have become increasingly important since the 1960s. In this topology...
Honesty in voting is not always the best policy. This is a book for mathematicians, political scientists, economists and philosophers who want to understand how it is impossible to devise a reasonable voting system in which voters can never gain by submitting a disingenuous ballot. The book requires no prerequisites except a willingness to follow rigorous mathematical arguments.
Honesty in voting is not always the best policy. This is a book for mathematicians, political scientists, economists and philosophers who want to unde...