Can anyone suggest an introductory book on knot theory?

Thread starter wdlang
Start date Jun 9, 2013
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Book Introductory Knot theory Theory

In summary, knot theory is a branch of mathematics that studies mathematical knots, which are closed loops of string or rope that are twisted and entangled in a specific way. It has various applications in fields such as physics, biology, and computer science. Some recommended introductory books on knot theory include "The Knot Book" by Colin Adams and "Knots and Links" by Dale Rolfsen. It can be applied to real-world problems such as DNA research and designing efficient networks. While it may be challenging for those without a strong mathematical background, with dedication and practice, anyone can understand knot theory.

Jun 9, 2013

wdlang

I want one good for physicists

does not need to be very rigorous

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Jun 10, 2013

dustbin

I don't know if it's good for physicists, but "The Knot Book" by Colin Adams is great.

Related to Can anyone suggest an introductory book on knot theory?

1. What is knot theory?

Knot theory is a branch of mathematics that studies mathematical knots. In simple terms, a knot is a closed loop of string or rope that is twisted and entangled in a specific way. Knot theory aims to classify and understand these knots and their properties.

2. Why is knot theory important?

Knot theory has a wide range of applications in various fields, such as physics, biology, chemistry, and computer science. It can be used to model and understand physical phenomena, study DNA and protein structures, and develop efficient algorithms for data analysis.

3. What are some recommended introductory books on knot theory?

Some popular introductory books on knot theory include "The Knot Book" by Colin Adams, "Knots and Links" by Dale Rolfsen, and "An Introduction to Knot Theory" by W.B.Raymond Lickorish. These books provide a solid foundation in knot theory and are suitable for readers with a basic understanding of mathematics.

4. How can knot theory be applied to real-world problems?

Knot theory has numerous practical applications, such as in DNA research, designing efficient networks, and understanding the behavior of polymers. It can also be used to study the stability of structures, such as bridges and buildings, and analyze the flow of fluids in pipes.

5. Is knot theory difficult to learn?

Knot theory can be challenging for those without a strong background in mathematics, but with dedication and practice, it can be understood by anyone. It is recommended to have a good understanding of basic algebra, geometry, and topology before delving into knot theory.