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A Personal Vendetta Becomes Dangerous

Review of Carter Family Favorites Cookbook

expose your children to this hero!

Case of the Deadly Counterfeiters : Brighams Ghost Brigade

The Cavalier's Cup

Good introduction to topological quantum field theoryThe book could thus be considered an introduction to the theory of "quantum topology". The authors employ many diagrams to illustrate the beautiful connections between topology and algebra using the reprensentations of U(sl(2)) and the "quantized" version where the representation spaces are homogeneous polynomials in two variables that commute modulo a parameter. These constructions are generalizations of the ones that are employed in studying exactly solved models in statistical mechanics using the Yang-Baxter equation. This theory is now called quantum groups, even though strictly speaking, the objects dealt with are more general than groups and the adjective "quantum" means only a lack of commutation up to a parameter (usually called q). Very interesting is the way in which braid groups appear as realizations of quantum representation spaces. Quotient representations have to be considered since in general the representations of the braid group are not semi-simple.
For a representation of Uq(sl(2)) the authors define trace, called the "quantum trace", in this representation which gives the required invariants. These invariants however are not finer than other 3-manifold invariants unfortunately. The authors do show to what extent two 3-manifolds with the same Turaev-Viro invariants are similar, and show the equivalence between the Turaev-Viro and Kauffman-Lins invariants. These invariants are examples of topological quantum field theories, which have grown out of considerations from high energy physics, and which will no doubt continue to be of considerable interest in the future.


Useful and challenging book

A review of Coastal Dunes: Form and ProcessI found this book to be an excellent source of background information for coastal dune research. It is also touchstone bibliographic reference for works related to coastal dune geomorphology despite the fact that it is 12 years old.
I believe that the goals presented by the series editor, Eric Bird, are in fact achieved in this book. The goal was to have a collection that was of value not only for specialists and students in the field but also for those that are concerned with management and planning issues in the coastal environment. To this end it is a successful book in that it is technical for students who are undertaking research yet the conclusions and section summaries are excellent for those that need a broader context without the figures and rigorous analysis.


Sporting News Record Book

Four tales of Conan as Raider, Thief, Pirate and Mercenary