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INTRODUCTION TO GRAPH THEORY (Dover Books on Mathematics) by Richard J. Trudeau
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eBay item number:394658422884
Item specifics
- Condition
- ISBN
- 9780486678702
- Publication Name
- Introduction to Graph Theory
- Item Length
- 8.5in
- Publisher
- Dover Publications, Incorporated
- Series
- Dover Books on Mathematics Ser.
- Publication Year
- 1994
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Features
- Reprint
- Item Width
- 5.5in
- Item Weight
- 9 Oz
- Number of Pages
- 224 Pages
About this product
Product Information
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.
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486678709
ISBN-13
9780486678702
eBay Product ID (ePID)
959207
Product Key Features
Publication Name
Introduction to Graph Theory
Format
Trade Paperback
Language
English
Features
Reprint
Series
Dover Books on Mathematics Ser.
Publication Year
1994
Type
Textbook
Number of Pages
224 Pages
Dimensions
Item Length
8.5in
Item Width
5.5in
Item Weight
9 Oz
Additional Product Features
Lc Classification Number
Qa166.T74 1993
Edition Description
Reprint
Edition Number
2
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
Copyright Date
1993
Topic
Graphic Methods, Discrete Mathematics
Lccn
93-032996
Dewey Decimal
511/.5
Intended Audience
College Audience
Dewey Edition
20
Illustrated
Yes
Genre
Mathematics
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eBay item number:394658422884
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