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A First Course in Graph Theory

A First Course in Graph Theory - Paperback

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Availability:In StockContributor:Gary Chartrand, Ping ZhangSeries:Dover Books on MathematicsPublish date:2012-02-15Pages:464
Language:EnglishPublisher:Dover PublicationsISBN-13:9780486483689ISBN-10:486483681UPC:9780486483689Book Category:MathematicsBook Subcategory:Graphic Methods, Discrete MathematicsSize:9.10 x 6.10 x 0.90 inchesWeight:1.3007Product ID:SCXTA5VV8E

Comprehensive Introduction to Graph Theory for Undergraduates

A First Course in Graph Theory delivers a remarkably student-friendly introduction to one of mathematics' most dynamic fields. Authored by Gary Chartrand and Ping Zhang, two prominent experts from Western Michigan University, this comprehensive textbook makes complex concepts accessible through clear explanations and engaging historical context.

Structured Learning with Unique Features

This graph theory textbook stands out with its thoughtfully designed approach. The text includes optional "excursion" and "exploration" sections that present interesting sidelights of graph theory, encouraging students to experiment and engage their imaginations beyond standard coursework. These sections touch upon advanced topics while maintaining accessibility for undergraduate learners. Unique examples and lucid proofs provide a sound yet accessible treatment that stimulates interest in this evolving subject and its many applications across computer science, network theory, and discrete mathematics. The careful balance between rigor and readability makes this an ideal choice for self-study or classroom use.

Comprehensive Supporting Materials

Three appendixes review important foundational concepts: sets and logic, equivalence relations and functions, and methods of proof. These resources ensure students have the necessary mathematical background to succeed. The text concludes with solutions or hints for odd-numbered exercises, helping students verify their understanding and progress independently. References, comprehensive indexes, and a list of symbols provide additional support for navigation and deeper study. This complete package makes the textbook suitable for both structured courses and independent learning.

Expert Authors with Proven Track Record

Gary Chartrand brings extensive experience as the author of several books on graph theory, including Dover's bestselling Introductory Graph Theory. Ping Zhang complements this expertise as coauthor of multiple college-level books covering graph theory and other mathematical areas. Their combined knowledge ensures accurate, well-organized content that reflects current understanding in the field.

Applications and Relevance

Graph theory's applications span computer science algorithms, network analysis, discrete mathematics, and numerous STEM fields. This textbook prepares undergraduate students to understand these applications while building a solid theoretical foundation. The emphasis on graph theory's history provides context that helps students appreciate how the field has evolved and where it continues to develop. Whether used as a primary textbook, study guide, or reference for self-study, A First Course in Graph Theory offers undergraduates the tools they need to master this essential mathematical subject.
Language:EnglishPublisher:Dover PublicationsISBN-13:9780486483689ISBN-10:486483681UPC:9780486483689Book Category:MathematicsBook Subcategory:Graphic Methods, Discrete MathematicsSize:9.10 x 6.10 x 0.90 inchesWeight:1.3007Product ID:SCXTA5VV8E
Publisher: Dover Publications

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