Adventures in Graph Theory

Szerző: David Joyner, Caroline Grant Melles

Nyelv:

Kötés: Kemény kötésű

Kiadó: Birkhauser

Elérhetőség: Beszállítói készleten

Küldés 10-13 napon belül

37 571 Ft

This textbook explores and illustrates connections between graph theory and diverse fields of mathem...

Információk a könyvről

Szerző

David Joyner, Caroline Grant Melles

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2018

oldal

327

EAN

9783319683812

ISBN

3319683810

Enbook ID

18125052

Kiadó

Birkhauser

Súly

652

Méretek

292 x 172 x 26

Teljes leírás

This textbook explores and illustrates connections between graph theory and diverse fields of mathematics such as calculus on manifolds, group theory, algebraic curves, Fourier analysis, cryptography, and other areas of combinatorics. These pathways from graph theory serve as a guide to higher mathematics for the reader. The authorsaccomplish this by presenting deep applications of graph theory in a user-friendlymanner. The first chapter is introductory in nature illustrating basic definitions of graph theory and polynomial invariants for graphs. Recent results in mathematics are included throughout the book, as well as profuse examples of graphs, how they arise, and their uses in order to encourage the reader's own analysis. And, for reference, Sage code computations clearly illustrate the book's many graphs. Samples of the book's source code can be found at github.com/springer-math/adventures-in-graph-theory. The text is geared towards advanced undergraduate and graduate students and is particularly useful for those who want to settle on a dissertation topic. This book, however, is also beneficial as a reference to anyone interested in how graph theory can be applied to other areas of mathematics.

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