A Userβs Guide to Algebraic Topology
β C.T. J. Dodson and P.E. Parker
π Library
π
1997
π Springer
π English
β¦ LIBER β¦
π
A user's guide to algebraic topology
β Scribed by C.T. Dodson, P.E. Parker
- Publisher
- Kluwer
- Year
- 1997
- Tongue
- English
- Leaves
- 422
- Series
- Mathematics and Its Applications
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
This book arose from courses taught by the authors, and is designed for both instructional and reference use during and after a first course in algebraic topology. It is a handbook for users who want to calculate, but whose main interests are in applications using the current literature, rather than in developing the theory. Typical areas of applications are differential geometry and theoretical physics. We start gently, with numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory that are needed in later chapters. We show how to calculate homotopy groups, homology groups and cohomology rings of most of the major theories, exact homotopy sequences of fibrations, some important spectral sequences, and all the obstructions that we can compute from these. Our approach is to mix illustrative examples with those proofs that actually develop transferable calculational aids. We give extensive appendices with notes on background material, extensive tables of data, and a thorough index. Audience: Graduate students and professionals in mathematics and physics.
π SIMILAR VOLUMES
A user's guide to algebraic topology
β C.T. Dodson, P.E. Parker
π Library
π
1997
π Kluwer Academic Publishers
π English
A user's guide to operator algebras
β Fillmore P.A.
π Library
π
1996
π Wiley
π English
The subject of operator algebras has experienced tremendous growth in recent years with significant applications to areas within algebraic mathematics as well as allied areas such as single operator theory, non-self-adjoint operator algegras, K-theory, knot theory, ergodic theory, and mathematical p
Algebraic topology. A student's guide
β J. F. Adams, G. C. Shepherd
π Library
π
1972
π Cambridge University Press
π English
Homology theory: An introduction to alge
β P. J. Hilton, S. Wylie
π Library
π
1968
π Cambridge University Press
π English
This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject. It is used as a textbook for students in the final year of an undergraduate course or on graduate courses and as a handbook for mathematicians in other branches who want some knowledge of the sub
Homology Theory: An Introduction to Alge
β James W. Vick
π Library
π
1994
π Springer
π English
This was the textbook for the first third of a year-long algebraic topology sequence at Oregon State in 1973-4. We were told by the prof that Vick was a student of Stong and that the book was essentially Stong's course written up with his blessing. It's hard to ask for a better pedigree than that, a