UID:
almafu_9960119253002883
Format:
1 online resource (xiii, 241 pages) :
,
digital, PDF file(s).
ISBN:
1-316-04773-3
,
0-511-62627-4
Series Statement:
Outlooks
Content:
The applications of topological techniques for understanding molecular structures have become increasingly important over the past thirty years. In this topology text, the reader will 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; all the relevant background is provided. The text is enhanced by nearly 200 illustrations and more than 100 exercises. Reading this fascinating book, undergraduate mathematics students can escape the world of pure abstract theory and enter that of real molecules, while chemists and biologists will find simple, clear but rigorous definitions of mathematical concepts they handle intuitively in their work.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
,
Cover -- Frontmatter -- Contents -- Preface -- Stereochemical Topology -- Examples of Topologically Complex Molecules -- Stereoisomers -- Chirality -- Chirality of Möbius Ladders -- Intrinsic Chirality -- Euclidean Rubber Gloves -- Topological Rubber Gloves -- Nonrigid Symmetries -- Exercises -- Detecting Chirality -- Defining Chirality -- Knot and Link Types -- Link Polynomials -- Chirality of Embedded Graphs -- Chirality of Molecular Knots and Links -- Alternating Links -- Tait's Conjecture -- Exercises -- Möbius Ladders and Related Molecular Graphs -- Chirality of Möbius Ladders -- Intrinsic Chirality -- Triple-Layered Naphthalenophane -- Multiply Twisted Closed Ladders -- Exercises -- Different Types of Chirality and Achirality -- Topological Rubber Gloves in ℝ3 -- Molecular Topological Rubber Gloves -- Intrinsic Topological Rubber Gloves -- Hierarchies of Achirality -- Molecular Cell Complexes -- Exercises -- Intrinsic Topological Properties of Graphs -- Results of Conway and Gordon -- Minor Minimal Intrinsically Linked Graphs -- ΔY Moves and Intrinsic Knottedness -- Intrinsic Chirality of Complete Graphs -- Topological Stereoisomers -- Exercises -- Symmetries of Embedded Graphs -- Nonrigid Symmetries -- Rigid Symmetries of Three-Connected Graphs -- Topological Chirality of Labeled Graphs -- Using Automorphisms to Show Intrinsic Chirality -- Symmetries of Complete Graphs -- Hierarchies of Automorphisms -- Exercises -- Topology of DNA -- Supercoiling -- Toroidal Winding of DNA -- The Action of Enzymes on DNA -- Conway's Theory of Tangles -- Results of Ernst and Sumners -- Exercises -- References -- Index.
,
English
Additional Edition:
ISBN 0-521-66482-9
Additional Edition:
ISBN 0-521-66254-0
Language:
English
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
https://doi.org/10.1017/CBO9780511626272
