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INTRODUCTION TO GRAPH THEORY (Dover Books on Mathematics) by Richard J. Trudeau
US $9.46
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eBay item number:394658422884
Item specifics
- Condition
- ISBN
- 9780486678702
- Subject Area
- Mathematics
- Publication Name
- Introduction to Graph Theory
- Publisher
- Dover Publications, Incorporated
- Item Length
- 8.5 in
- Subject
- Graphic Methods, Discrete Mathematics
- Publication Year
- 1994
- Series
- Dover Books on Mathematics Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Features
- Reprint
- Item Weight
- 9 Oz
- Item Width
- 5.5 in
- Number of Pages
- 224 Pages
About this product
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486678709
ISBN-13
9780486678702
eBay Product ID (ePID)
959207
Product Key Features
Number of Pages
224 Pages
Language
English
Publication Name
Introduction to Graph Theory
Subject
Graphic Methods, Discrete Mathematics
Publication Year
1994
Features
Reprint
Type
Textbook
Subject Area
Mathematics
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Weight
9 Oz
Item Length
8.5 in
Item Width
5.5 in
Additional Product Features
Edition Number
2
Intended Audience
College Audience
LCCN
93-032996
Dewey Edition
20
Illustrated
Yes
Dewey Decimal
511/.5
Edition Description
Reprint
Table Of Content
Preface 1. Pure Mathematics Introduction; Euclidean Geometry as Pure Mathematics; Games; Why Study Pure Mathematics?; What's 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; Kuratowski's Theorem; Determining Whether a Graph is Planar or Nonplanar; Exercises; Suggested Reading 4. Euler's Formula Introduction; Mathematical Induction; Proof of Euler's Formula; Some Consequences of Euler's 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; Euler's 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 Königsberg Bridge Problem; Exercises; Suggested Reading Afterword Solutions to Selected Exercises Index Special symbols
Synopsis
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, Euler's formula, Platonic graphs, coloring, 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 book's appeal should be virtually universal . . . Every library should have several copies" -- Choice . 1976 edition., Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition., Aimed at "the mathematically traumatized," this text offers non-technical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.
LC Classification Number
QA166.T74 1993
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