Topology of Surfaces, Knots, and Manifolds Tapa dura - 2001
de Stephan C. Carlson
Descripción de contraportada
Master the basic ideas of the topology of manifolds
TOPOLOGY OF SURFACES, KNOTS, AND MANIFOLDS offers an intuition-based and example-driven approach to the basic ideas and problems involving manifolds, particularly one- and two-dimensional manifolds. A blend of examples and exercises leads the reader to anticipate general definitions and theorems concerning curves, surfaces, knots, and links--the objects of interest in the appealing set of mathematical ideas known as "rubber sheet geometry." The result is a text that is accessible to a broad range of undergraduate students, yet will provides solid coverage of the mathematics underlying these topics.
Here are some of the features that make Carlson's approach work:
- A student-friendly writing style provides a clear exposition of concepts.
- mathematical results are presented accurately and main definitions, theorems, and remarks are clearly highlighted for easy reference.
- Carefully selected exercises, some of which require hands-on work on computer-aided visualization, reinforce the understanding of concepts or further develop ideas.
- Extensive use of illustrations helps the students develop an intuitive understanding of the material.
- Frequent historical references chronicle the development of the subject and highlight connections between topology and other areas of mathematics.
- Chapter summary sections offer a review of each chapter's topics and a transitional look forward to the next chapter.
Detalles
- Título Topology of Surfaces, Knots, and Manifolds
- Autor Stephan C. Carlson
- Encuadernación Tapa dura
- Edición 1st Edition
- Páginas 176
- Volúmenes 1
- Idioma ENG
- Editorial Wiley, New York
- Fecha de publicación 2001-01-10
- Ilustrado Sí
- ISBN 9780471355441 / 0471355445
- Peso 0.9 libras (0.41 kg)
- Dimensiones 9.42 x 6.4 x 0.49 pulgadas (23.93 x 16.26 x 1.24 cm)
- Library of Congress subjects Topology
- Número de catálogo de la Librería del Congreso de EEUU 00063294
- Dewey Decimal Code 514
Reseñas en medios
Citas
- Scitech Book News, 09/01/2001, Page 49
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Topology of Surfaces, Knots, and Manifolds
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