An Introduction to Knot Theory (Graduate Texts in Mathematics)

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9780387982540: An Introduction to Knot Theory (Graduate Texts in Mathematics)

A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology manoeuvres, combinatorics, and algebraic topology. Each topic is developed until significant results are achieved and each chapter ends with exercises and brief accounts of the latest research. What may reasonably be referred to as knot theory has expanded enormously over the last decade and, while the author describes important discoveries throughout the twentieth century, the latest discoveries such as quantum invariants of 3-manifolds as well as generalisations and applications of the Jones polynomial are also included, presented in an easily intelligible style. Readers are assumed to have knowledge of the basic ideas of the fundamental group and simple homology theory, although explanations throughout the text are numerous and well-done. Written by an internationally known expert in the field, this will appeal to graduate students, mathematicians and physicists with a mathematical background wishing to gain new insights in this area.

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This volume is an introduction to mathematical knot theory - the theory of knots and links of simple closed curves in three-dimensional space. It consists of a selection of topics that graduate students have found to be a successful introduction to the field. Three distinct techniques are employed: geometric topology manoeuvres; combinatorics; and algebraic topology. Each topic is developed until significant results are achieved, and chapters end with exercises and brief accounts of state-of-the-art research. What may reasonably be referred to as knot theory has expanded enormously over the last decade, and while the author describes important discoveries from throughout the twentieth century, the latest discoveries such as quantum invariants of 3-manifolds - as well as generalisations and applications of the Jones polynomial - are also included, presented in an easily understandable style. Thus, this constitutes a comprehensive introduction to the field, presenting modern developments in the context of classical material. Readers are assumed to have knowledge of the basic ideas of the fundamental group and simple homology theory, although explanations throughout the text are plentiful and well done. Written by an internationally known expert in the field, this volume will appeal to graduate students, mathematicians, and physicists with a mathematical background who wish to gain new insights in this area.

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W.B.R. Lickorish

An Introduction to Knot Theory

"This essential introduction to vital areas of mathematics with connections to physics, while intended for graduate students, should fall within the ken of motivated upper-division undergraduates."―CHOICE

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Book Description Springer-Verlag New York Inc., United States, 1997. Hardback. Book Condition: New. 1997 ed.. Language: English . Brand New Book. A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology manoeuvres, combinatorics, and algebraic topology. Each topic is developed until significant results are achieved and each chapter ends with exercises and brief accounts of the latest research. What may reasonably be referred to as knot theory has expanded enormously over the last decade and, while the author describes important discoveries throughout the twentieth century, the latest discoveries such as quantum invariants of 3-manifolds as well as generalisations and applications of the Jones polynomial are also included, presented in an easily intelligible style. Readers are assumed to have knowledge of the basic ideas of the fundamental group and simple homology theory, although explanations throughout the text are numerous and well-done. Written by an internationally known expert in the field, this will appeal to graduate students, mathematicians and physicists with a mathematical background wishing to gain new insights in this area. Bookseller Inventory # AAU9780387982540

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Book Description Springer-Verlag New York Inc., United States, 1997. Hardback. Book Condition: New. 1997 ed.. Language: English . Brand New Book. A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology manoeuvres, combinatorics, and algebraic topology. Each topic is developed until significant results are achieved and each chapter ends with exercises and brief accounts of the latest research. What may reasonably be referred to as knot theory has expanded enormously over the last decade and, while the author describes important discoveries throughout the twentieth century, the latest discoveries such as quantum invariants of 3-manifolds as well as generalisations and applications of the Jones polynomial are also included, presented in an easily intelligible style. Readers are assumed to have knowledge of the basic ideas of the fundamental group and simple homology theory, although explanations throughout the text are numerous and well-done. Written by an internationally known expert in the field, this will appeal to graduate students, mathematicians and physicists with a mathematical background wishing to gain new insights in this area. Bookseller Inventory # AAU9780387982540

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Book Description Springer, 1997. Book Condition: New. An introduction to mathematical Knot Theory. It employes three distinct techniques, such as Geometric Topology Manoeuvres, Combinatorics, and Algebraic Topology. It discusses the discoveries, including quantum invariants of 3-manifolds and generalizations and applications of the Jones polynomial. Series: Graduate Texts in Mathematics. Num Pages: 214 pages, 6 black & white tables, biography. BIC Classification: PBG; PBM; PBP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 238 x 162 x 19. Weight in Grams: 472. . 1997. 1997th Edition. Hardcover. . . . . . Bookseller Inventory # V9780387982540

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Book Description Springer-Verlag New York Inc., United States, 1997. Hardback. Book Condition: New. 1997 ed.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology manoeuvres, combinatorics, and algebraic topology. Each topic is developed until significant results are achieved and each chapter ends with exercises and brief accounts of the latest research. What may reasonably be referred to as knot theory has expanded enormously over the last decade and, while the author describes important discoveries throughout the twentieth century, the latest discoveries such as quantum invariants of 3-manifolds as well as generalisations and applications of the Jones polynomial are also included, presented in an easily intelligible style. Readers are assumed to have knowledge of the basic ideas of the fundamental group and simple homology theory, although explanations throughout the text are numerous and well-done. Written by an internationally known expert in the field, this will appeal to graduate students, mathematicians and physicists with a mathematical background wishing to gain new insights in this area. Bookseller Inventory # LIE9780387982540

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Book Description Springer. Book Condition: New. An introduction to mathematical Knot Theory. It employes three distinct techniques, such as Geometric Topology Manoeuvres, Combinatorics, and Algebraic Topology. It discusses the discoveries, including quantum invariants of 3-manifolds and generalizations and applications of the Jones polynomial. Series: Graduate Texts in Mathematics. Num Pages: 214 pages, 6 black & white tables, biography. BIC Classification: PBG; PBM; PBP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 238 x 162 x 19. Weight in Grams: 472. . 1997. 1997th Edition. Hardcover. . . . . Books ship from the US and Ireland. Bookseller Inventory # V9780387982540

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