Knot Theory & Its Applications
Knot Theory & Its Applications
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DOI：
10.1007/978-0-8176-4719-3
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
K. Murasugi
中科院分区：
文献类型：
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作者：
K. Murasugi
纽结理论是代数拓扑学中的一个概念，已经应用于各种数学问题以及计算机科学，生物和医学研究以及数学物理学中的问题。这本书是针对广大观众的研究人员，开始研究生，并在这些领域的高年级本科生。这本书包含了大部分的基本经典事实的理论，如结图，辫子表示，塞弗特表面，缠结，和亚历山大多项式;也包括了关键的新的发展和特殊的主题，如弦图和覆盖空间。这项工作介绍了迷人的研究结，并提供了深入了解应用等研究的DNA研究和图论。此外，每一章都包括一个补充，包括有趣的历史以及数学评论。
Knot theory is a concept in algebraic topology that has found applications to a variety of mathematical problems as well as to problems in computer science, biological and medical research, and mathematical physics. This book is directed to a broad audience of researchers, beginning graduate students, and senior undergraduate students in these fields.The book contains most of the fundamental classical facts about the theory, such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials; also included are key newer developments and special topics such as chord diagrams and covering spaces. The work introduces the fascinating study of knots and provides insight into applications to such studies as DNA research and graph theory. In addition, each chapter includes a supplement that consists of interesting historical as well as mathematical comments.