|
|
Sold Out
Book Categories |
Preface xi
Outlines 1
Monopole invariants of four-manifolds 2
Morse theory 14
Monopole Floer homology for three-manifolds 49
Notes and references for Chapter I 82
The Seiberg-Witten equations and compactness 84
Basic terms 85
Compactness and properness 99
The blown-up configuration space 112
Unique continuation 120
Compactness in the blown-up configuration space 130
Notes and references for Chapter II 132
Hilbert manifolds and perturbations 134
Completions and Hilbert manifolds 134
Abstract perturbations 152
Constructing tame perturbations 171
Notes and references for Chapter III 194
Moduli spaces and transversality 195
Transversality for the three-dimensional equations 196
Moduli spaces of trajectories 217
Local structure of moduli spaces 239
Transversality for moduli spaces of trajectories 265
Notes and references for Chapter IV 272
Compactness and gluing 274
Compactness of trajectory spaces 275
The moduli space on a finite cylinder 294
Stable manifolds and gluing near critical points 317
Gluing trajectories 343
Notes and references for Chapter V 374
Floer homology 375
Orienting moduli spaces 375
A version of Stokes' theorem 405
Floer homology 410
Notes and references for Chapter VI 448
Cobordisms and invariance 449
Summary of results 449
The moduli space on a manifold with boundary 461
Maps from cobordisms 508
Composing cobordisms 535
Closed four-manifolds 551
Canonical gradings 581
Notes and references for Chapter VII 589
Non-exact perturbations 590
Closed two-forms as perturbations 590
Floer groups and non-exact perturbations 597
Some isomorphisms 605
Applications to gluing 622
Notes and references for Chapter VIII 633
Calculations 634
Coupled Morse theory 634
Calculation of coupled homology 658
Application to the Floer groups HM 678
The manifold S[superscript 1] x S[superscript 2] 695
The three-torus 699
Elliptic surfaces 711
Notes and references for Chapter IX 719
Further developments 721
Homology spheres and negative-definite cobordisms 722
Genus bounds and scalar curvature 733
Foliations and non-vanishing theorems 741
Surgery and exact triangles 757
Notes and references for Chapter X 778
References 779
Glossary of notation 785
Index 792
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Molly Martin
reviewed Monopoles and Three-Manifolds on December 23, 2013
Monopoles and Three-Manifolds
If queried, the mathematician that does not work in statistics will most likely not feel that there is a need for a separate course in matrices applied to statistics. There is no doubt that statisticians need to know a great deal about matrices, so the question comes down to whether the traditional math courses in linear algebra are sufficient. In either case, it is still of benefit to have one source that statisticians can consult as a reference for problems with matrices and this book can serve as that source.
Mathematicians with little experience in statistics will have no difficulty in understanding the contents of the book, as nearly all of it is mathematical rather than statistical in nature. The first three chapters are:
*) A review of elementary matrix algebra.
*) Vector spaces.
*) Eigenvalues and eigenvectors.
With the exception of ten pages devoted to random vectors in chapter 1, there were few major items gleaned from statistics. They could serve as the first three chapters of any book on matrix operations. While the remaining chapters do contain more statistical concepts, the overwhelming majority of the material does not involve problems in statistics. There are a large number of problems at the end of the chapters and solutions are not provided.
The remaining chapters are:
*) Matrix factorizations and matrix norms.
*) Generalized inverses.
*) Systems of linear equations.
*) Partitioned matrices.
*) Special matrices and matrix products.
*) Matrix derivatives and related topics.
*) Some special topics related to quadratic forms.
The level of difficulty is within the reach of an advanced undergraduate, although it was written for graduate students in statistics. In my opinion, previous experience in statistics would be helpful, but not required for a reader to understand the material. If you are looking for a book on matrix operations, this one will serve your purpose, independent of whether your focus is on statistics.
Published in Journal of Recreational Mathematics, reprinted with permission and this review appears on Amazon.
Login|Complaints|Blog|Games|Digital Media|Souls|Obituary|Contact Us|FAQ
CAN'T FIND WHAT YOU'RE LOOKING FOR? CLICK HERE!!! X
You must be logged in to add to WishlistX
This item is in your Wish List
X
This item is in your Collection
Monopoles and Three-Manifolds
X
This Item is in Your Inventory
Monopoles and Three-Manifolds
X
You must be logged in to review the productsX
X
X
Add Monopoles and Three-Manifolds, Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry, and topology. This book provides a comprehensive treatment of Floer homology, based, Monopoles and Three-Manifolds to the inventory that you are selling on WonderClubX
X
Add Monopoles and Three-Manifolds, Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry, and topology. This book provides a comprehensive treatment of Floer homology, based, Monopoles and Three-Manifolds to your collection on WonderClub |