Introduction to Topological Manifolds (Graduate Texts in Mathematics)

4,34 valoración promedio
( 29 valoraciones por Goodreads )
 
9780387950266: Introduction to Topological Manifolds (Graduate Texts in Mathematics)
Ver todas las copias de esta edición ISBN.
 
 

Book by Lee John M

"Sinopsis" puede pertenecer a otra edición de este libro.

Críticas:

"This book is an introduction to manifolds on the beginning graduate level. It provides a readable text allowing every mathematics student to get a good knowledge of manifolds in the same way that most students come to know real numbers, Euclidean spaces, groups, etc. It starts by showing the role manifolds play in nearly every major branch of mathematics. The book has 13 chapters and can be divided into five major sections. The first section, Chapters 2 through 4, is a brief and sufficient introduction to the ideas of general topology: topological spaces, their subspaces, products and quotients, connectedness and compactness. The second section, Chapters 5 and 6, explores in detail the main examples that motivate the rest of the theory: simplicial complexes, 1- and 2-manifolds. It introduces simplicial complexes in both ways---first concretely, in Euclidean space, and then abstractly, as collections of finite vertex sets. Then it gives classification theorems for 1-manifolds and compact surfaces, essentially following the treatment in W. Massey's \ref[ Algebraic topology: an introduction, Reprint of the 1967 edition, Springer, New York, 1977; MR0448331 (56 \#6638)]. The third section (the core of the book), Chapters 7--10, gives a complete treatment of the fundamental group, including a brief introduction to group theory (free products, free groups, presentations of groups, free abelian groups), as well as the statement and proof of the Seifert-Van Kampen theorem. The fourth major section consists of Chapters 11 and 12, on covering spaces, including proofs that every manifold has a universal covering and that the universal covering space covers every other covering space, as well as quotients by free proper actions of discrete groups. The last Chapter 13 covers homology theory, including homotopy invariance and the Mayer-Vietoris theorem. The book gives an ample opportunity to the reader to learn the subject by working out a large number of examples, exercises and problems. The latter are collected at the end of each chapter."  (B.N. Apanasov, Mathematical Reviews) 

Reseña del editor:

Manifolds play an important role in topology, geometry, complex analysis, algebra, and classical mechanics. Learning manifolds differs from most other introductory mathematics in that the subject matter is often completely unfamiliar. This introduction guides readers by explaining the roles manifolds play in diverse branches of mathematics and physics. The book begins with the basics of general topology and gently moves to manifolds, the fundamental group, and covering spaces.

"Sobre este título" puede pertenecer a otra edición de este libro.

Los mejores resultados en AbeBooks

1.

Lee, John M.
Publicado por Springer
ISBN 10: 0387950265 ISBN 13: 9780387950266
Nuevo PAPERBACK Cantidad disponible: 1
Librería
Cloud 9 Books
(Wellington, FL, Estados Unidos de America)
Valoración
[?]

Descripción Springer. PAPERBACK. Condición: New. 0387950265 New Condition. Nº de ref. del artículo: NEW7.1062671

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 95,12
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 4,10
A Estados Unidos de America
Destinos, gastos y plazos de envío

2.

Lee, John M.
Publicado por Springer (2000)
ISBN 10: 0387950265 ISBN 13: 9780387950266
Nuevo Paperback Cantidad disponible: 2
Librería
Murray Media
(North Miami Beach, FL, Estados Unidos de America)
Valoración
[?]

Descripción Springer, 2000. Paperback. Condición: New. Never used!. Nº de ref. del artículo: P110387950265

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 97,91
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 1,63
A Estados Unidos de America
Destinos, gastos y plazos de envío

3.

John M. Lee
Publicado por Springer (2000)
ISBN 10: 0387950265 ISBN 13: 9780387950266
Nuevo Paperback Cantidad disponible: 1
Librería
Ergodebooks
(RICHMOND, TX, Estados Unidos de America)
Valoración
[?]

Descripción Springer, 2000. Paperback. Condición: New. 1. Nº de ref. del artículo: DADAX0387950265

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 708,74
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 4,10
A Estados Unidos de America
Destinos, gastos y plazos de envío