Constructive Measure Theory
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Constructive Measure Theory
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Author : Errett Bishop
language : en
Publisher: American Mathematical Soc.
Release Date : 1972
Constructive Measure Theory written by Errett Bishop and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Constructive mathematics categories.
Metric Boolean Algebras And Constructive Measure Theory
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Author : Thierry Coquand
language : en
Publisher:
Release Date : 2000
Metric Boolean Algebras And Constructive Measure Theory written by Thierry Coquand and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Aspects Of Constructive Measure And Probability Theory
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Author : Yuen-Kwok Chan
language : en
Publisher:
Release Date : 1969
Aspects Of Constructive Measure And Probability Theory written by Yuen-Kwok Chan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Measure theory categories.
Analytical Methods In Constructive Measure Theory On Configuration Spaces
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Author : Oleksandr Kutoviy
language : en
Publisher:
Release Date : 2004
Analytical Methods In Constructive Measure Theory On Configuration Spaces written by Oleksandr Kutoviy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Foundations Of Constructive Mathematics
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Author : M.J. Beeson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Foundations Of Constructive Mathematics written by M.J. Beeson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book is about some recent work in a subject usually considered part of "logic" and the" foundations of mathematics", but also having close connec tions with philosophy and computer science. Namely, the creation and study of "formal systems for constructive mathematics". The general organization of the book is described in the" User's Manual" which follows this introduction, and the contents of the book are described in more detail in the introductions to Part One, Part Two, Part Three, and Part Four. This introduction has a different purpose; it is intended to provide the reader with a general view of the subject. This requires, to begin with, an elucidation of both the concepts mentioned in the phrase, "formal systems for constructive mathematics". "Con structive mathematics" refers to mathematics in which, when you prove that l a thing exists (having certain desired properties) you show how to find it. Proof by contradiction is the most common way of proving something exists without showing how to find it - one assumes that nothing exists with the desired properties, and derives a contradiction. It was only in the last two decades of the nineteenth century that mathematicians began to exploit this method of proof in ways that nobody had previously done; that was partly made possible by the creation and development of set theory by Georg Cantor and Richard Dedekind.
Measure Integral And Probability
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Author : Marek Capinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Measure Integral And Probability written by Marek Capinski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
Measure, Integral and Probability is a gentle introduction that makes measure and integration theory accessible to the average third-year undergraduate student. The ideas are developed at an easy pace in a form that is suitable for self-study, with an emphasis on clear explanations and concrete examples rather than abstract theory. For this second edition, the text has been thoroughly revised and expanded. New features include: · a substantial new chapter, featuring a constructive proof of the Radon-Nikodym theorem, an analysis of the structure of Lebesgue-Stieltjes measures, the Hahn-Jordan decomposition, and a brief introduction to martingales · key aspects of financial modelling, including the Black-Scholes formula, discussed briefly from a measure-theoretical perspective to help the reader understand the underlying mathematical framework. In addition, further exercises and examples are provided to encourage the reader to become directly involved with the material.
Handbook Of Constructive Mathematics
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Author : Douglas Bridges
language : en
Publisher: Cambridge University Press
Release Date : 2023-03-31
Handbook Of Constructive Mathematics written by Douglas Bridges and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-31 with Mathematics categories.
Gives a complete overview of modern constructive mathematics and its applications through surveys by leading experts.
Rational Homotopy Type
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Author : Wen-tsün Wu
language : en
Publisher: Springer
Release Date : 2006-11-14
Rational Homotopy Type written by Wen-tsün Wu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point of view. It centers on the notion of calculability which is due to the author himself, as are the measure-theoretical and constructive points of view in rational homotopy. The I*-measure is shown to differ from other homology and homotopy measures in that it is calculable with respect to most of the important geometric constructions encountered in algebraic topology. This approach provides a new method of treatment and leads to various new results. In particular, an axiomatic system of I*-measure is formulated, quite different in spirit from the usual Eilenberg-Steenrod axiomatic system for homology, and giving at the same time an algorithmic method of computation of the I*-measure in concrete cases. The book will be of interest to researchers in rational homotopy theory and will provide them with new ideas and lines of research to develop further.
Constructive Analysis
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Author : E. Bishop
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Constructive Analysis written by E. Bishop and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This work grew out of Errett Bishop's fundamental treatise 'Founda tions of Constructive Analysis' (FCA), which appeared in 1967 and which contained the bountiful harvest of a remarkably short period of research by its author. Truly, FCA was an exceptional book, not only because of the quantity of original material it contained, but also as a demonstration of the practicability of a program which most ma thematicians believed impossible to carry out. Errett's book went out of print shortly after its publication, and no second edition was produced by its publishers. Some years later, 'by a set of curious chances', it was agreed that a new edition of FCA would be published by Springer Verlag, the revision being carried out by me under Errett's supervision; at the same time, Errett gener ously insisted that I become a joint author. The revision turned out to be much more substantial than we had anticipated, and took longer than we would have wished. Indeed, tragically, Errett died before the work was completed. The present book is the result of our efforts. Although substantially based on FCA, it contains so much new material, and such full revision and expansion of the old, that it is essentially a new book. For this reason, and also to preserve the integrity of the original, I decided to give our joint work a title of its own. Most of the new material outside Chapter 5 originated with Errett.
Computation And Logic In The Real World
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Author : S. Barry Cooper
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-11
Computation And Logic In The Real World written by S. Barry Cooper and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-11 with Computers categories.
This book constitutes the refereed proceedings of the Third International Conference on Computability in Europe, CiE 2007, held in Sienna, Italy, in June 2007. The 50 revised full papers presented together with 36 invited papers were carefully reviewed and selected from 167 submissions.