Description

Book Synopsis
Provides an elementary introduction to geometric topology and its applications to chemistry, molecular biology, and cosmology. It does not assume any mathematical or scientific background, sophistication, or even motivation to study mathematics. It is meant to be fun and engaging while drawing students in to learn about fundamental topological and geometric ideas.

Trade Review
[T]his is a wonderful introduction to geometry and topology and their applications to the sciences. The book contains a unique collection of topics that might entice young readers to continue their academic careers by learning more about the world of mathematics." - Claus Ernst, Zentralblatt MATH

Table of Contents
  • Universes: An introduction to the shape of the universe
  • Visualizing four dimensions
  • Geometry and topology of different universes
  • Orientability
  • Flat manifolds
  • Connected sums of spaces
  • Products of spaces
  • Geometries of surfaces
  • Knots: Introduction to knot theory
  • Invariants of knots and links
  • Knot polynomials
  • Molecules: Mirror image symmetry from different viewpoints
  • Techniques to prove topological chirality
  • The topology and geometry of DNA
  • The topology of proteins
  • Index

Knots Molecules and the Universe An Introduction

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    A Hardback by Erica Flapan

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      Book details

      Publisher American Mathematical Society
      Published 30 December 2015
      ISBN-13 9781470425357
      978-1470425357
      ISBN-10 1470425351
      Also in:
      Mathematics Applied mathematics Topology Not Just Books Stationery

      Description

      Book Synopsis
      Provides an elementary introduction to geometric topology and its applications to chemistry, molecular biology, and cosmology. It does not assume any mathematical or scientific background, sophistication, or even motivation to study mathematics. It is meant to be fun and engaging while drawing students in to learn about fundamental topological and geometric ideas.

      Trade Review
      [T]his is a wonderful introduction to geometry and topology and their applications to the sciences. The book contains a unique collection of topics that might entice young readers to continue their academic careers by learning more about the world of mathematics." - Claus Ernst, Zentralblatt MATH

      Table of Contents
      • Universes: An introduction to the shape of the universe
      • Visualizing four dimensions
      • Geometry and topology of different universes
      • Orientability
      • Flat manifolds
      • Connected sums of spaces
      • Products of spaces
      • Geometries of surfaces
      • Knots: Introduction to knot theory
      • Invariants of knots and links
      • Knot polynomials
      • Molecules: Mirror image symmetry from different viewpoints
      • Techniques to prove topological chirality
      • The topology and geometry of DNA
      • The topology of proteins
      • Index

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