Topics in Graph Theory
暫譯: 圖論主題
Anderson, Mark, Gross, Jonathan L., Yellen, Jay
- 出版商: CRC
- 出版日期: 2023-07-18
- 售價: $3,630
- 貴賓價: 9.5 折 $3,449
- 語言: 英文
- 頁數: 528
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 0367507870
- ISBN-13: 9780367507879
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相關分類:
線性代數 Linear-algebra
海外代購書籍(需單獨結帳)
相關主題
商品描述
The interplay between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences continues to grow.
This book is geared toward the more mathematically mature student. The first two chapters provide the basic definitions and theorems of graph theory and the remaining chapters introduce a variety of topics and directions for research. These topics draw on numerous areas of theoretical and applied mathematics, including combinatorics, probability, linear algebra, group theory, topology, operations research, and computer science. This makes the book appropriate for a first course at the graduate level or as a second course at the undergraduate level.
The authors build upon material previously published in Graph Theory and Its Applications, third edition, by the same authors. That text covers material for both an undergraduate and graduate course, while this book builds on and expands the graduate-level material.
List of Features
- Extensive exercises and applications.
- Flexibility: appropriate for either a first course at the graduate level; or an advanced course at the undergraduate level.
- Opens avenues to a variety of research areas in graph theory.
- Emphasis on topological and algebraic graph theory
商品描述(中文翻譯)
圖論與數學、計算機科學、運籌學以及自然科學和社會科學中各種模型和應用之間的相互作用持續增長。
本書針對數學基礎較為成熟的學生。前兩章提供圖論的基本定義和定理，其餘章節則介紹多種主題和研究方向。這些主題涵蓋了理論和應用數學的多個領域，包括組合數學、概率論、線性代數、群論、拓撲學、運籌學和計算機科學。因此，本書適合用作研究生階段的第一門課程或本科階段的第二門課程。
作者基於同一作者所出版的第三版《圖論及其應用》（Graph Theory and Its Applications）中的材料進行擴展。該文本涵蓋了本科和研究生課程的內容，而本書則在此基礎上擴展了研究生階段的材料。
特色列表
- 廣泛的練習和應用。
- 靈活性：適合用作研究生階段的第一門課程或本科階段的進階課程。
- 開啟多個圖論研究領域的途徑。
- 強調拓撲和代數圖論。
作者簡介
Mark Anderson is a professor of mathematics and computer science at Rollins College. His research interests in graph theory center on the topological or algebraic side.
Jonathan L. Gross
Jay Yellen is a professor of mathematics at Rollins College. His current areas of research include graph theory, combinatorics, and algorithms.
作者簡介(中文翻譯)
馬克·安德森（Mark Anderson）是羅林斯學院（Rollins College）數學與計算機科學的教授。他在圖論（graph theory）方面的研究興趣集中於拓撲（topological）或代數（algebraic）方面。
喬納森·L·格羅斯（Jonathan L. Gross）是哥倫比亞大學（Columbia University）計算機科學的教授。他的研究興趣包括拓撲和圖論。
傑伊·耶倫（Jay Yellen）是羅林斯學院的數學教授。他目前的研究領域包括圖論、組合數學（combinatorics）和演算法（algorithms）。
