A Beginner's Guide to Graph Theory: Edition 2

Springer Science & Business Media
3
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Graph theory continues to be one of the fastest growing areas of modern mathematics because of its wide applicability in such diverse disciplines as computer science, engineering, chemistry, management science, social science, and resource planning. Graphs arise as mathematical models in these fields, and the theory of graphs provides a spectrum of methods of proof. This concisely written textbook is intended for an introductory course in graph theory for undergraduate mathematics majors or advanced undergraduate and graduate students from the many fields that benefit from graph-theoretic applications.

Key features:

* Introductory chapters present the main ideas and topics in graph theory—walks, paths and cycles, radius, diameter, eccentricity, cuts and connectivity, trees

* Subsequent chapters examine specialized topics and applications

* Numerous examples and illustrations

* Comprehensive index and bibliography, with suggested literature for more advanced material

New to the second edition:

* New chapters on labeling and communications networks and small-worlds

* Expanded beginner’s material in the early chapters, including more examples, exercises, hints and solutions to key problems

* Many additional changes, improvements, and corrections throughout resulting from classroom use and feedback

Striking a balance between a theoretical and practical approach with a distinctly applied flavor, this gentle introduction to graph theory consists of carefully chosen topics to develop graph-theoretic reasoning for a mixed audience. Familiarity with the basic concepts of set theory, along with some background in matrices and algebra, and a little mathematical maturity are the only prerequisites.

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From a review of the first edition:

"Altogether the book gives a comprehensive introduction to graphs, their theory and their application...The use of the text is optimized when the exercises are solved. The obtained skills improve understanding of graph theory as well... It is very useful that the solutions of these exercises are collected in an appendix."

—Simulation News Europe

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Reviews

4.7
3 total
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Additional Information

Publisher
Springer Science & Business Media
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Published on
May 5, 2010
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Pages
260
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ISBN
9780817645809
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Best For
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Language
English
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Genres
Mathematics / Algebra / General
Mathematics / Algebra / Linear
Mathematics / Applied
Mathematics / Combinatorics
Mathematics / Discrete Mathematics
Mathematics / General
Mathematics / History & Philosophy
Mathematics / Logic
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Content Protection
This content is DRM protected.
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W.D. Wallis
Wallis's book on discrete mathematics is a resource for an introductory course in a subject fundamental to both mathematics and computer science, a course that is expected not only to cover certain specific topics but also to introduce students to important modes of thought specific to each discipline . . . Lower-division undergraduates through graduate students.

—Choice reviews (Review of the First Edition)

Very appropriately entitled as a 'beginner's guide', this textbook presents itself as the first exposure to discrete mathematics and rigorous proof for the mathematics or computer science student.

—Zentralblatt Math (Review of the First Edition)

This second edition of A Beginner’s Guide to Discrete Mathematics presents a detailed guide to discrete mathematics and its relationship to other mathematical subjects including set theory, probability, cryptography, graph theory, and number theory. This textbook has a distinctly applied orientation and explores a variety of applications.

Key Features of the second edition:

* Includes a new chapter on the theory of voting as well as numerous new examples and exercises throughout the book

* Introduces functions, vectors, matrices, number systems, scientific notations, and the representation of numbers in computers

* Provides examples which then lead into easy practice problems throughout the text and full exercise at the end of each chapter

* Full solutions for practice problems are provided at the end of the book

This text is intended for undergraduates in mathematics and computer science, however, featured special topics and applications may also interest graduate students.

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