that lists (what seems like) every vendor's product with an honest
evaluation of the strengths and weaknesses of each. Every IT professional should have a copy on his/her bookshelf.
In chapter 1, the main definitions are given and the basic concepts behind schemes outlined. That schemes are more complicated than varieties is readily apparent even in this beginning chapter, where they are thought of as corresponding to the spectrum of a commutative ring with identity. Very elementary exercises are given to help the reader gain confidence in the constructions involved. They authors do have to discuss some sheaf theory, but they show its relevance nicely in this chapter. They also discuss the notion of a fibered product as a generalization of the idea of a preimage of a set under the application of a function and relate it to the construction of the functor of points. The role of the functor of points as reducing schemes to a kind of set theory is brought out beautifully here.
The next chapter gives many examples of schemes, with the first examples being reduced schemes over algebraically closed fields, these being essentially the ordinary varieties of classical algebraic geometry. The authors then give examples of schemes, the local schemes, which are more general than varieties. When departing from the assumption of a field that is not finitely generated, extra points will have to be added to classical varieties. The fact that only one closed point appears is compared to the case of complex manifolds, via the concept of a germ. This is a very helpful comparison, and one that further solidifies the understanding of a scheme in the mind of the reader. The authors give the reader a short peek at the etale topology in one of the examples. Examples are then given where the field is not algebraically closed, generalizing classical number theory, and non-reduced schemes, where nilpotents are present. The chapter ends with examples of arithmetic schemes where the spectra of rings are finitely generated over the integers.
Projective schemes are the subject of Chapter 3, and are defined in terms of graded algebras and invariants of projective schemes embedded in projective space are discussed. The Grasmannian scheme is discussed in detail as an example of a projective scheme. Interestingly, Bezout's theorem, very familiar from elementary algebraic geometry, is generalized here to projective schemes.
Constructions from classical algebraic geometry are generalized to schemes in Chapter 4. The first one discussed is the notion of a flex, which deals (classically) with the locus of tangent lines to a variety. The flexes are defined in terms of the Hessian of the variety, the latter being generalized by the authors to define a scheme of flexes. The notion of blowing up is also generalized to the scheme setting, with the authors motivating the discussion by blowing up the plane. The discussion of blow-ups along non-reduced subschemes of a scheme and blow-ups of arithmetic schemes is fascinating and the presentation is crystal clear. Fano varieties are also generalized to Fano schemes in the chapter. Most of the information about these schemes are contained in the exercises, and some of these need to be worked out for a thorough understanding.
The next chapter is more categorical in nature, and deals with generalizations of the classical Sylvester construction of resultants and discriminants to the scheme setting.
In the last chapter the authors return to the functor of points, and motivate the discussion by asking for a parametrization of families of schemes. The authors show, interestingly, that using the functor of points one can more easily compute geometric information about a scheme than using its equations. They illustrate this for the Zariski tangent space. Then after an overview of Hilbert schemes they close the book by introducing the reader to moduli spaces and a hint of algebraic stacks. No end in sight for this beautiful subject..........
Before Beveridge is a welcome addition to the literature about welfare before the state intervened in Britain. Contrary to the establishment history books which used to argue that the benevolent state stepped into a welfare vacuum, a number of studies have challenged this claim with books and scholarly articles demonstrating that the working classes were more than capable of providing education and welfare for their families by themselves as individuals and in groups long before the administrative machine moved in.
In this slim volume it seems that the editor and the staff at the IEA Health and Welfare Unit have rather abdicated the case for individual enterprise in welfare provision to those authors who put forward the view that in reality this provision was available to a select number of the working classes and the unorganised and the poor were not able to avail themselves of the opportunity. The so-called liberals appear to stand aside in the face of the attack and do not attempt to join battle with those propositions. I find the papers of Whiteside, Harris, Vincent and Thane to be particularly well researched and argued as well as persuasive given the paucity of David Green's paper especially.
The weakness of the writers who suggest that there was indeed a need for the intervention of the state in bringing welfare provision to the neediest in British society is the determination to overlook the evidence that many of the disenfranchised working classes who did not belong to either friendly societies or trades unions were determined to provide education for their children regardless of their personal circumstances. The fact that individuals of limited means were capable of identifying, by themselves, often without any education of their own, options for the betterment of their children over the longer term and were prepared to forego current onsumption to pay for it speaks volumes which significantly undermines the position supporting the need for state involvement.
This is a very thought provoking book which adds substantially to the lierature and which colours the debate about welfare provision more vividly than before. I would heartily recommend the book to sixth form and college students of history and social policy as well as practitioners of the black arts of social policy and policy-makers in general.
Before beveridge is a welcome addition to the literature about welfare before the state intervened in Britain. Contrary to the establishment history books which used to argue that the benevolent state stepped into a welfare vacuum, a number of studies have challenged this claim with books and scholarly articles demonstrating that the working classes were more than capable of providing education and welfare for their families by themselves as individuals and in groups long before the administrative machine moved in.
In this slim volume it seems that the editor and the staff at the IEA Health and Welfare Unit have rather abdicated the case for individual enterprise in welfare provision to those authors who put forward the view that in reality this provision was available to a select number of the working classes and the unorganised and the poor were not able to avail themselves of the opportunity. The so-called liberals appear to stand aside in the face of the attack and do not attempt to join battle with those propositions. I find the papers of Whiteside, Harris, Vincent and Thane to be particularly well researched and argued as well as persuasive given the paucity of David Green's paper especially.
The weakness of the writers who suggest that there was indeed a need for the intervention of the state in bringing welfare provision to the neediest in British society is the determination to overlook the evidence that many of the disenfranchised working classes who did not belong to either friendly societies or trades unions were determined to provide education for their children regardless of their personal circumstances. The fact that individuals of limited means were capable of identifying, by themselves, often without any education of their own, options for the betterment of their children over the longer term and were prepared to forego current onsumption to pay for it speaks volumes which significantly undermines the position supporting the need for state involvement.
This is a very thought provoking book which adds substantially to the lierature and which colours the debate about welfare provision more vividly than before. I would heartily recommend the book to sixth form and college students of history and social policy as well as practitioners of the black arts of social policy and policy-makers in general.
The book opens with a chapter entitled "Learning Maine" and is organized geographically into nine main sections which cover the entire state. The final chapter, "Practical Information" gives all the usual, plus "A Dozen Fun Places to Eat" and antiquarian booksellers. Scattered throughout the book are literary excerpts and topical essays by authors such as May Sarton, John McPhee, and Longfellow. There are maps, reproductions of period art, and plenty of gorgeous color photos. Whether the reader is planning a trip to Maine or merely wishes an intriguing armchair journey, this guide is a must.
Kimberly Borrowdale, Under the Covers Book Reviews
Great stuff. Came with a poster, too!
List price: $24.95 (that's 30% off!)
This book is a buyer's guide into the numerous products that manage services in one way or the other. The first 50 pages are devoted to concepts in service level management, while the remaining 300 or so pages describe some 70 SLM solutions along several dimensions, including product functionality, distinguishing features, data sources, third-party product reliance, support for service-related standards, pricing/packaging, and strengths/weaknesses. I would think that readers would study the first 50 pages carefully and use the product description section as a reference. The 50 page overview is excellent, from both a technical and business point of view.
I almost gave the book four stars because it is inevitable that SLM vendors with change their products, some will go out of business, and new ones will come into play, and thus the book would become obsolete in relative short order. However, the very last page of the book promises a 2nd edition. A book of this sort should probably be updated annually.
Also, I almost gave the book 4 stars because it has no references to other sources. But section 2 refers to several SLM standards bodies and lists URLs, including ITIL, Telemanagement Forum, and IEFT.
There was just one thing about the book that puzzled me: In the table of contents, about a dozen of the 70 companies are in bold, and I couldn't figure out why. However, that problem wasn't worth taking off a star.
In sum, the book is perfect for businesses comtemplating SLM expenditures. I would expect to see it updated from time to time to keep up with the industry.