An Interactive Introduction to Knot Theory (Aurora: Dover Modern Math Originals) by Inga Johnson (PDF)

Description

This well-written and engaging volume, intended for undergraduates, introduces knot theory, an area of growing interest in contemporary mathematics. The hands-on approach features many exercises to be completed by readers. Prerequisites are only a basic familiarity with linear algebra and a willingness to explore the subject in a hands-on manner.The opening chapter offers activities that explore the world of knots and links — including games with knots — and invites the reader to generate their own questions in knot theory. Subsequent chapters guide the reader to discover the formal definition of a knot, families of knots and links, and various knot notations. Additional topics include combinatorial knot invariants, knot polynomials, unknotting operations, and virtual knots.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a delightful book, which employs an interesting pedagogical strategy of 1) building experience and intuition, 2) developing arguments for certain relations and representations, and finally 3) developing rigorous proofs. Throughout the authors ask the reader, through short exercises, to test out hypotheses, create their own representation, counter-examples and so on. I must say, though, that some of these are rather easy yet valuable in building familiarity and insight, but others are rather extensive and, frankly, difficult. This approach is as close to the Socratic method as one can get in a fixed, printed book. There are plenty of knot and link diagrams and this helps the reader develop intuition before the algebraic representations are embraced in full.I heartily endorse this book which can stand on its own, or be a supplement to more rigorous and extensive Kauffman’s “Formal knot theory.”

⭐I think this is the easiest way to start understanding knot theory. The book by Cromwell had been my previous favorite, but certain notions like links are introduced speedily in this treatment and totally are left absent in the appendix of my previous choice.

⭐Much too algebraic in its orientation.

⭐I’m loving learning knot theory from this book. I like it better than Adam’s “The Knot Book” (although I like that one, too). The only caveat is that I suggest the reader skip or skim sections 2.1 and 2.2; they are very dry and technical compared to the rest of the book, and are safely skipped.

⭐Fantastic !

Keywords

Free Download An Interactive Introduction to Knot Theory (Aurora: Dover Modern Math Originals) in PDF format
An Interactive Introduction to Knot Theory (Aurora: Dover Modern Math Originals) PDF Free Download
Download An Interactive Introduction to Knot Theory (Aurora: Dover Modern Math Originals) 2017 PDF Free
An Interactive Introduction to Knot Theory (Aurora: Dover Modern Math Originals) 2017 PDF Free Download
Download An Interactive Introduction to Knot Theory (Aurora: Dover Modern Math Originals) PDF
Free Download Ebook An Interactive Introduction to Knot Theory (Aurora: Dover Modern Math Originals)