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An Interactive Introduction to Knot Theory

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An Interactive Introduction to Knot Theory

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.


Aurora Original.

nonfiction; mathematics; geometry; knot theory; games with knots; virtual knots; knots; unknotting; knot notations; combinatorial knot invariants; knot polynomials; alexander polynomial; contemporary mathematics; linear algebra; constructionscience and math; engaging; topology, Aurora; Knot Theory; Alternating Knots; Twist Knots; Gauss Codes; Conway Notation; Alexander Polynomial; Kaufman Bracket; Jones Polynomial; Unknotting Operations; Virtual Knots
$6.98

Original: $19.95

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An Interactive Introduction to Knot Theory—

$19.95

$6.98

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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.


Aurora Original.

nonfiction; mathematics; geometry; knot theory; games with knots; virtual knots; knots; unknotting; knot notations; combinatorial knot invariants; knot polynomials; alexander polynomial; contemporary mathematics; linear algebra; constructionscience and math; engaging; topology, Aurora; Knot Theory; Alternating Knots; Twist Knots; Gauss Codes; Conway Notation; Alexander Polynomial; Kaufman Bracket; Jones Polynomial; Unknotting Operations; Virtual Knots
An Interactive Introduction to Knot Theory | Dover Publications