<電子ブック>
Adventures in Graph Theory / by W. David Joyner, Caroline Grant Melles
(Applied and Numerical Harmonic Analysis. ISSN:22965017)
版 | 1st ed. 2017. |
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出版者 | Cham : Springer International Publishing : Imprint: Birkhäuser |
出版年 | 2017 |
本文言語 | 英語 |
大きさ | XXVI, 327 p. 80 illus., 56 illus. in color : online resource |
著者標目 | *Joyner, W. David author Melles, Caroline Grant author SpringerLink (Online service) |
件 名 | LCSH:Graph theory LCSH:Fourier analysis FREE:Graph Theory FREE:Fourier Analysis |
一般注記 | Graphs -- Basic Definitions -- Graphs and Laplacians -- Graphs as Manifolds -- Chip-firing Games -- Interesting Graphs -- Cayley Graphs of Bent Functions and Codes -- Appendices -- Selected Answers 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. The text is geared towards advanced undergraduate and graduate students and is particularly useful for those trying to decide what type of problem to tackle for their dissertation. This book can also serve as a reference for anyone interested in exploring how they can apply graph theory to other parts of mathematics HTTP:URL=https://doi.org/10.1007/978-3-319-68383-6 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319683836 |
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EB00228234 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA166-166.247 DC23:511.5 |
書誌ID | 4000116009 |
ISBN | 9783319683836 |
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※2017年9月4日以降