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Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum
Symposion Proceedings, San Servolo, Venice, Italy, May 16-22, 1999
Exogenous Factors in Colonic Carcinogenesis
This book is the proceedings of Falk Symposium 128, held in Würzburg, Germany, on May 2-3, 2002, and dedicated to the important issue of colonic carcinogenesis and its underlying genetic and environmental factors. Colorectal cancer is one of the leading causes of cancer-related death in industrialized countries. It has been recognized to be the consequence of a dynamic process leading from hyperproliferative epithelium through different classes of adenomas to invasive carcinoma. This adenoma-carcinoma sequence has been characterized on a molecular basis. Modern molecular biology has also helped to clarify the clustering of colorectal cancer within families, a phenomenon that has been known ...
Lectures on the Hyperreals
An introduction to nonstandard analysis based on a course given by the author. It is suitable for beginning graduates or upper undergraduates, or for self-study by anyone familiar with elementary real analysis. It presents nonstandard analysis not just as a theory about infinitely small and large numbers, but as a radically different way of viewing many standard mathematical concepts and constructions. It is a source of new ideas, objects and proofs, and a wealth of powerful new principles of reasoning. The book begins with the ultrapower construction of hyperreal number systems, and proceeds to develop one-variable calculus, analysis and topology from the nonstandard perspective. It then sets out the theory of enlargements of fragments of the mathematical universe, providing a foundation for the full-scale development of the nonstandard methodology. The final chapters apply this to a number of topics, including Loeb measure theory and its relation to Lebesgue measure on the real line. Highlights include an early introduction of the ideas of internal, external and hyperfinite sets, and a more axiomatic set-theoretic approach to enlargements than is usual.
Encyclopedia of Philosophy
Presents a collection of alphabetically-arranged entries that provide information on a wide range of topics related to philosophy, including ethics, religion, history, aesthetics, logic, metaphysics, from Aristotle and the Greek Academy, to modern concepts of feminist theory and philosophy of the mind.
Mathematical Reviews
None
Lista de Autores Y Entidades de La Red de Bibliotecas Del CSIC
Lista de autores y entidades del CSIC.-v. II
Proceedings in Print
None
