BOOKS - On Knots. (AM-115), Volume 115 (Annals of Mathematics Studies, 115)
On Knots. (AM-115), Volume 115 (Annals of Mathematics Studies, 115) - Louis H. Kauffman August 1, 1987 PDF BOOKS
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On Knots. (AM-115), Volume 115 (Annals of Mathematics Studies, 115)
Author: Louis H. Kauffman
Year: August 1, 1987
Format: PDF
File size: PDF 9.4 MB
Language: English



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Book Description: On Knots AM115 Volume 115 Annals of Mathematics Studies 115 Author: Louis H. Kauffman August 1, 1987 Pages: Genre: Non-Fiction, Mathematics Synopsis: On Knots is a comprehensive journey through the theory of knots, starting from the simplest combinatorial ideas and culminating in the latest discoveries and applications in physics. The book begins by exploring the fundamental concepts of knot theory, such as linking numbers and the Conway polynomial, before delving into more advanced topics like skein theory, the Jones polynomial, and generalized polynomials. Each chapter builds upon the previous one, providing a thorough understanding of the subject matter. Chapter One: Combinatorial Ideas In this opening chapter, the author presents a clear and concise explanation of the basic principles of knot theory, using simple weaving patterns to illustrate the concepts.
On Knots AM115 Volume 115 Annals of Mathematics Studies 115 Author: Louis H. Kauffman August 1, 1987 Pages: Genre: Non-Fiction, Mathematics Synopsis: On Knots - это комплексное путешествие по теории узлов, начинающееся с простейших комбинаторных идей и завершающееся последними открытиями и приложениями в физике. Книга начинается с изучения фундаментальных концепций теории узлов, таких как связывание чисел и многочлен Конвея, прежде чем углубиться в более продвинутые темы, такие как теория скейна, многочлен Джонса и обобщённые многочлены. Каждая глава основывается на предыдущей, обеспечивая полное понимание предмета. Глава первая: Комбинаторные идеи В этой вступительной главе автор представляет ясное и краткое объяснение основных принципов теории узлов, используя простые схемы плетения для иллюстрации концепций.
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ノットAM115ボリューム115数学研究の代記115著者： ルイ・H・カウフマン19878月1日Pages： Genre： Non-Fiction、 Mathematics Synopsis： On Knotsは、最も単純な組み合わせのアイデアから始まり、物理学における最新の発見と応用で終わる結び目の理論の包括的な旅です。本は結び目の理論の基本的な概念を調べることから始まります。 数の結合やコンウェイ多項式など、 スケイン理論、ジョーンズ多項式、一般化された多項式などのより高度なトピックを掘り下げる前に。各章は前の章に基づいており、主題を完全に理解することができます。第1章：組み合わせのアイデアこの入門章では、簡単な編み方を使って概念を説明し、結び目の理論の基本原理を明確かつ簡潔に説明します。

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