Constructive Analysis
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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.
Constructive Analysis And Synthesis Of Programs
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Author : Marco Benini
language : en
Publisher: Lulu.com
Release Date : 2009-10-04
Constructive Analysis And Synthesis Of Programs written by Marco Benini and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-04 with Science categories.
Starting from the analysis of the problem behind formal verification of programs and showing the need for automatic synthesis and analysis of computer programs, the book presents the logical systems to reason about programs, the way to encode specifications so to enable their computational reading. Then, the mathematics behind synthesis and analysis of computer programs is developed in depth.
Constructive Real Analysis
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Author : Allen A. Goldstein
language : en
Publisher: Courier Corporation
Release Date : 2012-01-01
Constructive Real Analysis written by Allen A. Goldstein and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-01 with Mathematics categories.
This text introduces students of mathematics, science, and technology to the methods of applied functional analysis and applied convexity. The three-part treatment consists of roots and extremal problems, constraints, and infinite dimensional problems. Topics include iterations and fixed points, metric spaces, nonlinear programming, polyhedral convex programming, linear spaces and convex sets, and applications to integral equations. 1967 edition.
Techniques Of Constructive Analysis
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Author : Douglas S. Bridges
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-30
Techniques Of Constructive Analysis written by Douglas S. Bridges 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 2007-04-30 with Mathematics categories.
This book is an introduction to constructive mathematics with an emphasis on techniques and results obtained in the last twenty years. The text covers fundamental theory of the real line and metric spaces, focusing on locatedness in normed spaces and with associated results about operators and their adjoints on a Hilbert space. The first appendix gathers together some basic notions about sets and orders, the second gives the axioms for intuitionistic logic. No background in intuitionistic logic or constructive analysis is needed in order to read the book, but some familiarity with the classical theories of metric, normed and Hilbert spaces is necessary.
Foundations Of Constructive Analysis
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Author : Errett Bishop
language : en
Publisher: Ishi Press
Release Date : 2012-07
Foundations Of Constructive Analysis written by Errett Bishop and has been published by Ishi Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07 with Mathematics categories.
This book, Foundations of Constructive Analysis, founded the field of constructive analysis because it proved most of the important theorems in real analysis by constructive methods. The author, Errett Albert Bishop, born July 10, 1928, was an American mathematician known for his work on analysis. In the later part of his life Bishop was seen as the leading mathematician in the area of Constructive mathematics. From 1965 until his death, he was professor at the University of California at San Diego.
Regression Analysis
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Author : Richard A. Berk
language : en
Publisher: SAGE Publications
Release Date : 2003-07-17
Regression Analysis written by Richard A. Berk and has been published by SAGE Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-17 with Social Science categories.
Berk has incisively identified the various strains of regression abuse and suggests practical steps for researchers who desire to do good social science while avoiding such errors." --Peter H. Rossi, University of Massachusetts, Amherst "I have been waiting for a book like this for some time. Practitioners, especially those doing applied work, will have much to gain from Berk′s volume, regardless of their level of statistical sophistication. Graduate students in sociology, education, public policy, and any number of similar fields should also use it. It will also be a useful foil for conventional texts for the teaching of the regression model. I plan to use it for my students as a text, and hope others will do the same." --Herbert Smith, Professor of Demography & Sociology, University of Pennsylvania Regression is often applied to questions for which it is ill equipped to answer. As a formal matter, conventional regression analysis does nothing more than produce from a data set a collection of conditional means and conditional variances. The problem, though, is that researchers typically want more: they want tests, confidence intervals and the ability to make causal claims. However, these capabilities require information external to that data themselves, and too often that information makes implausible demands on how nature is supposed to function. Convenience samples are treated as if they are random samples. Causal status is given to predictors that cannot be manipulated. Disturbance terms are assumed to behave not as nature might produce them, but as required by the model. Regression Analysis: A Constructive Critique identifies a wide variety of problems with regression analysis as it is commonly used and then provides a number of ways in which practice could be improved. Regression is most useful for data reduction, leading to relatively simple but rich and precise descriptions of patterns in a data set. The emphasis on description provides readers with an insightful rethinking from the ground up of what regression analysis can do, so that readers can better match regression analysis with useful empirical questions and improved policy-related research. "An interesting and lively text, rich in practical wisdom, written for people who do empirical work in the social sciences and their graduate students." --David A. Freedman, Professor of Statistics, University of California, Berkeley
Iterated Inductive Definitions And Subsystems Of Analysis Recent Proof Theoretical Studies
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Author : W. Buchholz
language : en
Publisher: Springer
Release Date : 2006-11-14
Iterated Inductive Definitions And Subsystems Of Analysis Recent Proof Theoretical Studies written by W. Buchholz 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.
Recursive Algebra Analysis And Combinatorics
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Author :
language : en
Publisher: Elsevier
Release Date : 1998-11-30
Recursive Algebra Analysis And Combinatorics written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-30 with Computers categories.
Recursive Algebra, Analysis and Combinatorics
Further Insights Into Contrastive Analysis
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Author : Jacek Fisiak
language : en
Publisher: John Benjamins Publishing
Release Date : 1990
Further Insights Into Contrastive Analysis written by Jacek Fisiak and has been published by John Benjamins Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Language Arts & Disciplines categories.
After a period of crisis in the 1960s, Contrastive Analysis has now regained its firm position, although in a different form and with broader goals. This collection of papers reflects the scope of research and the range of interest of linguists who are involved in contrastive linguistics research. The volume contains 35 contributions by 37 authors from 13 different countries and includes an Index of names and an Index of terms.
The Way Of Analysis
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Author : Robert S. Strichartz
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2000
The Way Of Analysis written by Robert S. Strichartz and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.
The Way of Analysis gives a thorough account of real analysis in one or several variables, from the construction of the real number system to an introduction of the Lebesgue integral. The text provides proofs of all main results, as well as motivations, examples, applications, exercises, and formal chapter summaries. Additionally, there are three chapters on application of analysis, ordinary differential equations, Fourier series, and curves and surfaces to show how the techniques of analysis are used in concrete settings.