'Martin's axiom' is one of the most fruitful axioms which have been devised to show that certain properties are insoluble in standard set theory. It has important 1applications m set theory, infinitary combinatorics, general topology, measure theory, functional analysis and group theory. In this book Dr Fremlin has sought to collect together as many of these applications as possible into one rational scheme, with proofs of the principal results. His aim is to show how straightforward and beautiful arguments can be used to derive a great many consistency results from the consistency of Martin's axiom.

Consequences of Martin's Axiom (Cambridge Tracts in Mathematics, Series Number 84)

Science & Math

Fremlin, D. H.

Mathematics

Cambridge University Press

Topological Riesz Spaces and Measure Theory

Measure Theory has played an important part in the development of functional analysis: it has been the source of many examples for functional analysis, including some which have been leading cases for major advances in the general theory, and certain results in measure theory have been applied to prove general results in analysis. Often the ordinary functional analyst finds the language and a style of measure theory a stumbling block to a full understanding of these developments. Dr Fremlin's aim in writing this book is therefore to identify those concepts in measure theory which are most relevant to functional analysis and to integrate them into functional analysis in a way consistent with that subject's structure and habits of thought. This is achieved by approaching measure theory through the properties of Riesz spaces and especially topological Riesz spaces. Thus this book gathers together material which is not readily available elsewhere in a single collection and presents it in a form accessible to the first-year graduate student, whose knowledge of measure theory need not have progressed beyond that of the ordinary lebesgue integral.

<p>Measure Theory has played an important part in the development of functional analysis: it has been the source of many examples for functional analysis, including some which have been leading cases for major advances in the general theory, and certain results in measure theory have been applied to prove general results in analysis. Often the ordinary functional analyst finds the language and a style of measure theory a stumbling block to a full understanding of these developments. Dr Fremlin's aim in writing this book is therefore to identify those concepts in measure theory which are most relevant to functional analysis and to integrate them into functional analysis in a way consistent with that subject's structure and habits of thought. This is achieved by approaching measure theory through the properties of Riesz spaces and especially topological Riesz spaces. Thus this book gathers together material which is not readily available elsewhere in a single collection and presents it in a form accessible to the first-year graduate student, whose knowledge of measure theory need not have progressed beyond that of the ordinary lebesgue integral.</p>

The debate about nuclear power and the risks involved continues to rage but of course all forms of power production have their own particular and sometimes considerable risks. Power Production: What Are the Risks? includes completely new chapters to take into account the nuclear accident at Chernobyl, the disaster at Piper Alpha, and the much debated problems of acid rain and the greenhouse effect. The book evaluates the risks involved in using coal and oil-fired generation of nuclear and hydro power. The author contends that in our modern industrial society the risks of power production are less than the consequences of having insufficient supplies of power. He uses technical data from many fields of research to estimate the risks to the public from both renewable and nonrenewable sources.

Power Production: What are the Risks?

Physics

CRC-Press

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Books by Fremlin, D. H.

See the best price to sell, buy, or rent books by Fremlin, D. H.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Consequences of Martin's Axiom (Cambridge Tracts in Mathematics, Series Number 84)

Topological Riesz Spaces and Measure Theory

Topological Riesz Spaces and Measure Theory

Consequences of Martin's Axiom (Cambridge Tracts in Mathematics, Series Number 84)

Power Production: What are the Risks?