Description 
xvii, 386 pages : illustrations ; 26 cm 

text txt rdacontent 

unmediated n rdamedia 

volume nc rdacarrier 
Bibliography 
Includes bibliographical references and index. 
Summary 
"This book is 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. Though the book can be read and enjoyed by nonmathematicians, college students, or even eager high school students, it is intended to be used as an undergraduate textbook. The book is divided into three parts corresponding to the three areas referred to in the title. Part 1 develops techniques that enable two and threedimensional creatures to visualize possible shapes for their universe and to use topological and geometric properties to distinguish one such space from another. Part 2 is an introduction to knot theory with an emphasis on invariants. Part 3 presents applications of topology and geometry to molecular symmetries, DNA, and proteins. Each chapter ends with exercises that allow for better understanding of the material."Publisher's description. 
Contents 
Part 1 : 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  Part 2 : Knots. Introduction to knot theory  Invariants of knots and links  Knot polynomials  Part 3 : Molecules. Mirror image symmetry from different viewpoints  Techniques to prove topological chirality  The topology and geometry of DNA  The topology of proteins. 
Subject 
Topology  Textbooks.


Algebraic topology  Textbooks.


Knot theory  Textbooks.


Geometry  Textbooks.


Molecular biology  Textbooks.


Algebraic topology. (OCoLC)fst00804941


Geometry. (OCoLC)fst00940864


Knot theory. (OCoLC)fst00988171


Molecular biology. (OCoLC)fst01024734


Topology. (OCoLC)fst01152692

Genre/Form 
Textbooks. (OCoLC)fst01423863

Added Author 
Averett, Maia.

ISBN 
9781470425357 (alk. paper) 

1470425351 (alk. paper) 
