Knots and Links

Knots and Links pdf epub mobi txt 電子書 下載2025

出版者:Amer Mathematical Society
作者:Dale Rolfsen
出品人:
頁數:439
译者:
出版時間:2003-12
價格:USD 58.00
裝幀:Hardcover
isbn號碼:9780821834367
叢書系列:
圖書標籤:
  • 數學 
  • Topology 
  • 拓撲 
  • 拓撲學 
  • Math 
  • 教材 
  • 幾何 
  • Mathematics 
  •  
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Rolfsen's beautiful book on knots and links can be read by anyone, from beginner to expert, who wants to learn about knot theory. Beginners find an inviting introduction to the elements of topology, emphasizing the tools needed for understanding knots, the fundamental group and van Kampen's theorem, for example, which are then applied to concrete problems, such as computing knot groups. For experts, Rolfsen explains advanced topics, such as the connections between knot theory and surgery and how they are useful to understanding three-manifolds.

Besides providing a guide to understanding knot theory, the book offers "practical" training. After reading it, you will be able to do many things: compute presentations of knot groups, Alexander polynomials, and other invariants; perform surgery on three-manifolds; and visualize knots and their complements. It is characterized by its hands-on approach and emphasis on a visual, geometric understanding.

Rolfsen offers invaluable insight and strikes a perfect balance between giving technical details and offering informal explanations. The illustrations are superb, and a wealth of examples are included.

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One of the best books in knot theory.

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One of the best books in knot theory.

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One of the best books in knot theory.

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One of the best books in knot theory.

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One of the best books in knot theory.

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