Algebraic Topology a First Course
- List Price: $49.95
- Binding: Paperback
- Publisher: Springer Verlag
- Publish date: 09/01/1995
Description:
I Calculus in the Plane.- 1 Path Integrals.- 2 Angles and Deformations.- II Winding Numbers.- 3 The Winding Number.- 4 Applications of Winding Numbers.- III Cohomology and Homology, I.- 5 De Rham Cohomology and the Jordan Curve Theorem.- 6 Homology.- IV Vector Fields.- 7 Indices of Vector Fields.- 8 Vector Fields on Surfaces.- V Cohomology and Homology, II.- 9 Holes and Integrals.- 10 Mayer--Vietoris.- VI Covering Spaces and Fundamental Groups, I.- 11 Covering Spaces.- 12 The Fundamental Group.- VII Covering Spaces and Fundamental Groups, II.- 13 The Fundamental Group and Covering Spaces.- 14 The Van Kampen Theorem.- VIII Cohomology and Homology, III.- 15 Cohomology.- 16 Variations.- IX Topology of Surfaces.- 17 The Topology of Surfaces.- 18 Cohomology on Surfaces.- X Riemann Surfaces.- 19 Riemann Surfaces.- 20 Riemann Surfaces and Algebraic Curves.- 21 The Riemann--Roch Theorem.- XI Higher Dimensions.- 22 Toward Higher Dimensions.- 23 Higher Homology.- 24 Duality.- Appendices.- Appendix A Point Set Topology.- A1. Some Basic Notions in Topology.- A2. Connected Components.- A3. Patching.- A4. Lebesgue Lemma.- Appendix B Analysis.- B1. Results from Plane Calculus.- B2. Partition of Unity.- Appendix C Algebra.- C1. Linear Algebra.- C2. Groups; Free Abelian Groups.- C3. Polynomials; Gauss's Lemma.- Appendix D On Surfaces.- D1. Vector Fields on Plane Domains.- D2. Charts and Vector Fields.- D3. Differential Forms on a Surface.- Appendix E Proof of Borsuk's Theorem.- Hints and Answers.- References.- Index of Symbols.
Expand description
Product notice
Returnable at the third party seller's discretion and may come without consumable supplements like access codes, CD's, or workbooks.
Seller | Condition | Comments | Price |
BookReadingInc
|
Acceptable
|
$31.36
|
BookReadingInc
|
Good
|
$35.65
|
readmybooks
|
Acceptable |
$31.68
|
|
Zubal Books
Like New |
$34.53
|
readmybooks
|
Good |
$35.92
|
Ergodebooks
|
Good |
$37.15
|
Please Wait