Knots and Surfaces - Couverture souple

Gilbert, N. D.

 
9780198514909: Knots and Surfaces

Synopsis

The main theme of this book is the mathematical theory of knots and its interaction with the theory of surfaces and of group presentations.

Beginning with a simple diagrammatic approach to the study of knots, reflecting the artistic and geometric appeal of interlaced forms, Knots and Surfaces takes the reader through recent advances in our understanding to areas of current research. Topics included are straightforward introductions to topological spaces, surfaces, the fundamental group, graphs, free groups, and group presentations. These topics combine into a coherent and highly developed theory to explore and explain the accessible and intuitive problems of knots and surfaces.

Both as an introduction to several areas of prime importance to the development of pure mathematics today, and as an account of pure mathematics in action in an unusual context, this book presents novel challenges to students and other interested readers.

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Présentation de l'éditeur

Covering an area of current intense research interest, this book is ideal for all mathematicians, undergraduate or at research level, as an introduction to the field. The book provides a thorough account of the mathematical theory of knots and its interactions with related fields. This new paperback edition places the book within reach of all individuals interested in this new and exciting field.

Revue de presse

a virtually self-contained introduction .......... The text is very well written, detailed motivations of concepts and clear explanations replace unnecessary formalism. Recommended (Monatshefte fur Mathematik Vol. 124 1997)

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780198533979: Knots and Surfaces

Edition présentée

ISBN 10 :  0198533977 ISBN 13 :  9780198533979
Editeur : Oxford University Press, 1994
Couverture rigide