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Original Essays | September 15, 2014

Lois Leveen: IMG Forsooth Me Not: Shakespeare, Juliet, Her Nurse, and a Novel



There's this writer, William Shakespeare. Perhaps you've heard of him. He wrote this play, Romeo and Juliet. Maybe you've heard of it as well. It's... Continue »
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    Juliet's Nurse

    Lois Leveen 9781476757445

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Differential Topology: An Introduction

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Differential Topology: An Introduction Cover

 

Synopses & Reviews

Publisher Comments:

Offering classroom-proven results, Differential Topology presents an introduction to point set topology via a naive version of nearness space. Its treatment encompasses a general study of surgery, laying a solid foundation for further study and greatly simplifying the classification of surfaces.

This self-contained treatment features 88 helpful illustrations. Its subjects include topological spaces and properties, some advanced calculus, differentiable manifolds, orientability, submanifolds and an embedding theorem, and tangent spaces. Additional topics comprise vector fields and integral curves, surgery, classification of orientable surfaces, and Whitney's embedding theorem. Suitable for advanced undergraduate courses in introductory or differential topology, this volume also serves as a supplementary text in advanced calculus and physics courses, as well as a key source of information for students of mechanics.

Synopsis:

This text covers topological spaces and properties, some advanced calculus, differentiable manifolds, orientability, submanifolds and an embedding theorem, tangent spaces, vector fields and integral curves, Whitney's embedding theorem, more. Includes 88 helpful illustrations. 1982 edition.

Synopsis:

An introduction to point set topology for undergraduates, this self-contained text greatly simplifies the complicated subject of the classification of surfaces. Written by a Professor of Mathematics at New Zealand's University of Auckland, it lays a solid foundation for further study.


Synopsis:

Originally published: New York: M. Dekker, 1982.

Table of Contents

1. What Is Topology?

2. Topological Spaces

3. Some Topological Properties

4. Some Advanced Calculus

5. Differentiable Manifolds

6. Orientability

7. Submanifolds and an Embedding Theorem

8. Tangent Spaces

9. Critical Points Again

10. Vector Fields and Integral Curves

11. Surgery

12. The Trace of a Surgery

13. Surgery on a Surface

14. Classification of Orientable Surfaces

15. Whitneys Embedding Theorem

Appendix A. The Unproved Theorems

Appendix B. Further Topics

Notation

Bibliography

Index

Product Details

ISBN:
9780486450216
Author:
Gauld, David B.
Publisher:
Dover Publications
Author:
Mathematics
Subject:
Game Theory
Subject:
Differential topology
Subject:
Topology - General
Subject:
MATHEMATICS / Topology
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20060331
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
256
Dimensions:
9.25 x 6.13 in 0.75 lb

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Related Subjects


Science and Mathematics » Mathematics » Advanced
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Differential Topology: An Introduction New Trade Paper
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Product details 256 pages Dover Publications - English 9780486450216 Reviews:
"Synopsis" by ,
This text covers topological spaces and properties, some advanced calculus, differentiable manifolds, orientability, submanifolds and an embedding theorem, tangent spaces, vector fields and integral curves, Whitney's embedding theorem, more. Includes 88 helpful illustrations. 1982 edition.

"Synopsis" by , An introduction to point set topology for undergraduates, this self-contained text greatly simplifies the complicated subject of the classification of surfaces. Written by a Professor of Mathematics at New Zealand's University of Auckland, it lays a solid foundation for further study.


"Synopsis" by , Originally published: New York: M. Dekker, 1982.
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