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Author Flapan, Erica, 1956- author.

Title Knots, molecules, and the universe : an introduction to topology / Erica Flapan ; with Maia Averett [and seventeen others].

Publication Info. Providence, Rhode Island : American Mathematical Society, [2016]


Location Call No. OPAC Message Status
 Axe 2nd Floor Stacks  514 I614k 2016    ---  Available
1 copy being processed for Axe Acquisitions Order.
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 three-dimensional 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)

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