Introduction to Graph Theory by Richard J. Trudeau (English) Paperback Book

Description: Introduction to Graph Theory by Richard J. Trudeau Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Eulers formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description A stimulating excursion into pure mathematics aimed at ""the mathematically traumatized,"" but great fun for mathematical hobbyists and serious mathematicians as well. Requiring only high school algebra as mathematical background, the book leads the reader from simple graphs through planar graphs, Eulers formula, Platonic graphs, colouring, the genus of a graph, Euler walks, Hamilton walks, and a discussion of The Seven Bridges of Konigsberg. Exercises are included at the end of each chapter. ""The topics are so well motivated, the exposition so lucid and delightful, that the books appeal should be virtually universal . . . Every library should have several copies"" - Choice. 1976 edition. Table of Contents Preface 1. Pure Mathematics Introduction; Euclidean Geometry as Pure Mathematics; Games; Why Study Pure Mathematics?; Whats Coming; Suggested Reading 2. Graphs Introduction; Sets; Paradox; Graphs; Graph diagrams; Cautions; Common Graphs; Discovery; Complements and Subgraphs; Isomorphism; Recognizing Isomorphic Graphs; Semantics The Number of Graphs Having a Given nu; Exercises; Suggested Reading 3. Planar Graphs Introduction; UG, K subscript 5, and the Jordan Curve Theorem; Are there More Nonplanar Graphs?; Expansions; Kuratowskis Theorem; Determining Whether a Graph is Planar or Nonplanar; Exercises; Suggested Reading 4. Eulers Formula Introduction; Mathematical Induction; Proof of Eulers Formula; Some Consequences of Eulers Formula; Algebraic Topology; Exercises; Suggested Reading 5. Platonic Graphs Introduction; Proof of the Theorem; History; Exercises; Suggested Reading 6. Coloring Chromatic Number; Coloring Planar Graphs; Proof of the Five Color Theorem; Coloring Maps; Exercises; Suggested Reading 7. The Genus of a Graph Introduction; The Genus of a Graph; Eulers Second Formula; Some Consequences; Estimating the Genus of a Connected Graph; g-Platonic Graphs; The Heawood Coloring Theorem; Exercises; Suggested Reading 8. Euler Walks and Hamilton Walks Introduction; Euler Walks; Hamilton Walks; Multigraphs; The Konigsberg Bridge Problem; Exercises; Suggested Reading Afterword Solutions to Selected Exercises Index Special symbols Long Description Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Eulers formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition. Details ISBN0486678709 Author Richard J. Trudeau Language English ISBN-10 0486678709 ISBN-13 9780486678702 Media Book Format Paperback DEWEY 511.5 Edition 2nd Imprint Dover Publications Inc. Place of Publication New York Country of Publication United States Illustrations 160ill. Short Title INTRO TO GRAPH THEORY REV/E 2/ DOI 10.1604/9780486678702 UK Release Date 2003-03-17 AU Release Date 2003-03-17 NZ Release Date 2003-03-17 Pages 240 Publisher Dover Publications Inc. Edition Description 2nd Revised edition Year 2003 Audience General Series Dover Books on Mathema 1.4tics Publication Date 2003-03-28 US Release Date 2003-03-28 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:7625740;

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