Sets And Integration An Outline Of The Development

The present text resulted from lectures given by the authors at the Rijks Universiteit at Utrecht. These lectures were part of a series on 'History of Contemporary Mathematics'. The need for such an enterprise was generally felt, since the curriculum at many universities is designed to suit an efficient treatment of advanced subjects rather than to reflect the development of notions and techniques. As it is very likely that this trend will continue, we decided to offer lectures of a less technical nature to provide students and interested listeners with a survey of the history of topics in our present-day mathematics. We consider it very useful for a mathematician to have an acquaintance with the history of the development of his subject, especially in the nineteenth century where the germs of many of modern disciplines can be found. Our attention has therefore been mainly directed to relatively young developments. In the lectures we tried to stay clear of both oversimplification and extreme technicality. The result is a text, that should not cause difficulties to a reader with a working knowledge of mathematics. The developments sketched in this book are fundamental for many areas in mathematics and the notions considered are crucial almost everywhere. The book may be most useful, in particular, for those teaching mathematics.

First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

This paperback, gives a self-contained treatment of the theory of finite measures in general spaces at the undergraduate level.

The so-called fourth dimension of a metropolis is the underground space beneath a city which typically includes structures such as tunnels, which facilitate transport and provide gas, water and other supplies. Underground space may also be utilised for living, working and recreational facilities and industrial storage. These volumes focus on underg

Genetic disorders have been the focus of scientists for a long time. The emergence of next-generation sequencing techniques has ushered a new era in genetics and several developments have occurred in human genetics. The scientific perspective has also been widened with omics technologies that allow researchers to analyze genetic sequences and their expression products. An integrated approach is being used not only for diagnosis but also for disease management and therapeutic purposes. This book highlights emerging areas of omics technology and its application in the diagnosis and management of human genetic disorders. The book covers three areas of research and implementation: 1) Diagnosis (covering conventional strategies to next-generation platforms). This section focuses on the role of in silico analysis, databases and multi-omics of single-cell which will help in designing better management strategies. 2) Disease Management and therapeutic interventions. This section starts with genetic counselling and progresses to more specific techniques such as pharmacogenomics and personalized medicine, gene editing techniques and their applications in gene therapies and regenerative medicine. 3) Case studies. This section discusses the applications and success of all the above-mentioned strategies on selected human disorders. This book serves as a handy reference for students and academics studying advanced omics techniques in biochemistry and molecular genetics as part of courses in life sciences, pharmacology and medicine.