Sorry, this item is not available in
Image not available for
Image not available

To view this video download Flash Player


Sign in to turn on 1-Click ordering
Sell Us Your Item
For a $8.57 Gift Card
Trade in
More Buying Choices
Have one to sell? Sell yours here
Tell the Publisher!
I'd like to read this book on Kindle

Don't have a Kindle? Get your Kindle here, or download a FREE Kindle Reading App.

Knot Theory (Mathematical Association of America Textbooks) [Hardcover]

Charles Livingston
4.4 out of 5 stars  See all reviews (7 customer reviews)

Buy New
$47.45 & FREE Shipping. Details
Only 5 left in stock (more on the way).
Ships from and sold by Gift-wrap available.
In Stock.
Rented by RentU and Fulfilled by Amazon.
Want it Monday, July 14? Choose One-Day Shipping at checkout. Details
Free Two-Day Shipping for College Students with Amazon Student


Amazon Price New from Used from
Hardcover $47.45  
Paperback --  

Book Description

December 1993 0883850273 978-0883850275 First Edition
Knot Theory, a lively exposition of the mathematics of knotting, will appeal to a diverse audience from the undergraduate seeking experience outside the traditional range of studies to mathematicians wanting a leisurely introduction to the subject. Graduate students beginning a program of advanced study will find a worthwhile overview, and the reader will need no training beyond linear algebra to understand the mathematics presented. The interplay between topology and algebra, known as algebraic topology, arises early in the book, when tools from linear algebra and from basic group theory are introduced to study the properties of knots, including one of mathematics' most beautiful topics, symmetry. The book closes with a discussion of high-dimensional knot theory and a presentation of some of the recent advances in the subject - the Conway, Jones and Kauffman polynomials. A supplementary section presents the fundamental group, which is a centerpiece of algebraic topology.

Frequently Bought Together

Knot Theory (Mathematical Association of America Textbooks) + The Knot Book
Price for both: $70.98

Buy the selected items together
  • The Knot Book $23.53

Editorial Reviews


'The author's book would be a good text for an undergraduate course in knot theory ... The topics in the book are nicely tied together ... The topics and the exercises together can provide an opportunity for many undergraduates to get a real taste of what present day mathematics is like.' Mathematical Reviews

'Get knotted ... ' Scouting for Boys

Book Description

Knot Theory, a lively exposition of the mathematics of knotting, will appeal to a diverse audience of mathematical readers, from undergraduates to professionals. The author introduces tools from linear algebra and basic group theory and uses these to study the properties of knots, high-dimensional knot theory and the Conway, Jones and Kauffman polynomials.

Product Details

  • Series: Mathematical Association of America Textbooks (Book 24)
  • Hardcover: 258 pages
  • Publisher: The Mathematical Association of America; First Edition edition (December 1993)
  • Language: English
  • ISBN-10: 0883850273
  • ISBN-13: 978-0883850275
  • Product Dimensions: 5.4 x 7.6 inches
  • Shipping Weight: 12 ounces (View shipping rates and policies)
  • Average Customer Review: 4.4 out of 5 stars  See all reviews (7 customer reviews)
  • Amazon Best Sellers Rank: #1,411,965 in Books (See Top 100 in Books)

More About the Author

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

4.4 out of 5 stars
4.4 out of 5 stars
Share your thoughts with other customers
Most Helpful Customer Reviews
20 of 20 people found the following review helpful
4.0 out of 5 stars Good for an introduction November 13, 2000
This book is an excellent introduction to knot theory for the serious, motivated undergraduate students, beginning graduate students,mathematicains in other disciplines, or mathematically oriented scientists who want to learn some knot theory.
Prequisites are a bare minimum: some linear algebra and a course in modern algebra should suffice, though a first geometrically oriented topology course (e. g., a course out of Armstrong, or Guillemin/Pollack) would be helpful.
Many different aspects of knot theory are touched on, including some of the polynomial invariants, knot groups, Alexander polynomial and related abelian invariants, as well as some of the more geometric invariants.
This book would serve as a nice complement to C. Adams "Knot Book" in that Livingston covers fewer topics, but goes into more mathematical detail. Livingston also includes many excellent exercises. Were an undergraduate to request that I do a reading course in knot theory with him/her, this would be one of the two books I'd use (Adam's book would be the other).
This book is intentionally written at a more elementary level than, say Kaufmann (On Knots), Rolfsen (Knots and Links), Lickorish (Introduction to Knot Theory) or Burde-Zieshcang (Knots), and would be a good "stepping stone" to these classics.
Comment | 
Was this review helpful to you?
5 of 5 people found the following review helpful
4.0 out of 5 stars Fun, yet brief at times August 9, 2006
Format:Hardcover|Verified Purchase
I really do enjoy this book - but picked it up as a means of teaching myself Knot Theory... as was the case with many of my text books in college, brevity (for the sake of publishing costs) makes some concepts more of a challenge to grasp. Overall, the illustrations are great, and if you do the exercizes, the material tends to flow more easliy. It seemed to me the book worked backwards a bit - first covering a subject, than introducing it comprehensively later on - not what I'm used to.

Keep in mind, I'm not a Mathematician, merely a graduate student of mathematics, who is interested in learning about this subject on my own.
Comment | 
Was this review helpful to you?
3 of 3 people found the following review helpful
4.0 out of 5 stars Excellent! January 10, 2002
By A Customer
Livingston does a good job on basic knot theory in this text. While Adams seems to jump around a bit in his book, Livingston keeps a nice flow to his work. The proofs require another text and a good background in algebra to understand, but the problems are wonderful for a deeper understanding of the material.
Comment | 
Was this review helpful to you?
5.0 out of 5 stars Great for undergraduates March 21, 2013
Format:Hardcover|Verified Purchase
The perfect book for undergraduates interested in learning knot theory without the algebraic topology prerequisites. This book is great as an introduction, and develops as much of the material as possible without the use of homology.
Comment | 
Was this review helpful to you?

Books on Related Topics (learn more)

What Other Items Do Customers Buy After Viewing This Item?

Sell a Digital Version of This Book in the Kindle Store

If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store. Learn more


There are no discussions about this product yet.
Be the first to discuss this product with the community.
Start a new discussion
First post:
Prompts for sign-in

Look for Similar Items by Category