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Adventures in Graph Theory (Applied and Numerical Harmonic Analysis) [Repost]

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Adventures in Graph Theory (Applied and Numerical Harmonic Analysis) [Repost]

Adventures in Graph Theory (Applied and Numerical Harmonic Analysis) by W. David Joyner
English | 22 Jan. 2018 | ISBN: 3319683810 | 327 Pages | PDF/EPUB | 14.07 MB

This textbook acts as a pathway to higher mathematics by seeking and illuminating the 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. An overview of graph theory definitions and polynomial invariants for graphs prepares the reader for the subsequent dive into the applications of graph theory. To pique the reader’s interest in areas of possible exploration, recent results in mathematics appear throughout the book, accompanied with examples of related graphs, how they arise, and what their valuable uses are. The consequences of graph theory covered by the authors are complicated and far-reaching, so topics are always exhibited in a user-friendly manner with copious graphs, exercises, and Sage code for the computation of equations. Samples of the book’s source code can be found at github.com/springer-math/adventures-in-graph-theory.