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e-Book Knot Theory (Mathematical Association of America Textbooks) download

e-Book Knot Theory (Mathematical Association of America Textbooks) download

by Charles Livingston

ISBN: 0883850273
ISBN13: 978-0883850275
Language: English
Publisher: The Mathematical Association of America; UK ed. edition (December 1, 1993)
Pages: 258
Category: Mathematics
Subategory: Math Science

ePub size: 1859 kb
Fb2 size: 1811 kb
DJVU size: 1695 kb
Rating: 4.3
Votes: 182
Other Formats: txt lrf docx rtf

The book is an excellent exposition on Knot Theory. The author glosses over many technical details, but that allows the reader to delve more deeply into the material.

Series: Mathematical Association of America Textbooks (Book 24). Hardcover: 258 pages. The book is an excellent exposition on Knot Theory. The concepts and practice of Knot Theory are very well presented.

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Knot Theory (Mathematical Association of America Textbooks). Contest Problem Book III: Annual High School Contest 1966-1972 : Of the Mathematical Association of America : Society of Actuaries : Mu Alpha Theta (New Mathematical Library)

Knot Theory (Mathematical Association of America Textbooks). Category: Математика, Прикладная математика. 2 Mb. Contest Problem Book II: Annual High School Contests of the Mathematical Association of America, 1961-1965 (New Mathematical Library). Contest Problem Book III: Annual High School Contest 1966-1972 : Of the Mathematical Association of America : Society of Actuaries : Mu Alpha Theta (New Mathematical Library). Charles T. Salkind, James M. Earl. 5 Mb. Differential Geometry and its Applications (Classroom Resource Materials) (Mathematical Association of America Textbooks).

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In mathematics, a knot is an embedding of a circle S1 in 3-dimensional Euclidean . The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. The Mathematical Association of America.

In mathematics, a knot is an embedding of a circle S1 in 3-dimensional Euclidean space, R3 (also known as E3), considered up to continuous deformations (isotopies). A crucial difference between the standard mathematical and conventional notions of a knot is that mathematical knots are closed-there are no ends to tie or untie on a mathematical knot. W. H. Freeman & Company. Armstrong, M. A. (1983) The Mathematical Association of America.

The Knot Book is an introduction to this rich theory, starting with our familiar understanding of knots and a bit of. .

The Knot Book is also about the excitement of doing mathematics. Colin Adams received the Mathematical Association of America (MAA) Award for Distinguished Teaching and has been an MAA Polya Lecturer and a Sigma Xi Distinguished Lecturer.

Knots have been used for basic purposes such as recording information, fastening and tying objects together, for thousands of years. The early, significant stimulus in knot theory would arrive later with Sir William Thomson (Lord Kelvin) and his theory of vortex atoms. Different knots are better at different tasks, such as climbing or sailing. Knots were also regarded as having spiritual and religious symbolism in addition to their aesthetic qualities.

Mathematical Association of America – 1529 18th St NW, Washington . Session chaos theory, history of mathematics, mathematics education, statistics. Session graph theory/games. Session dynamical systems, differential equations. Session number theory, knot theory. Thursday afternoon, 2:00-3:55pm (MAA SPS .

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.
Comments:
Foiuost
The book is an excellent exposition on Knot Theory. The author glosses over many technical details, but that allows the reader to delve more deeply into the material. The concepts and practice of Knot Theory are very well presented.

Sadaron above the Gods
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.

JoJosho
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.

Tto
Livingston's book is very concise and dense. It contains a lot of information, but is not the kind of book you could sit down and read through from cover to cover. It is excellent as a reference, a sort-of knot theory encyclopedia.

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