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Author: Douglas S. Bridges Publisher: Springer Science & Business Media ISBN: 0387381473 Category : Mathematics Languages : en Pages : 227
Book Description
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.
Author: Douglas S. Bridges Publisher: Springer Science & Business Media ISBN: 0387381473 Category : Mathematics Languages : en Pages : 227
Book Description
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.
Author: E. Bishop Publisher: Springer Science & Business Media ISBN: 3642616674 Category : Mathematics Languages : en Pages : 490
Book Description
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.
Author: Graham Button Publisher: Taylor & Francis ISBN: 1000652890 Category : Social Science Languages : en Pages : 290
Book Description
This book revisits the arguments by which Harvey Sacks and Harold Garfinkel opposed the widespread attempt in the social sciences to construct disciplinary theories and methods in place of common-sense knowledge of human action, and proposed instead an alternative that would investigate the organised methods of natural language use and common-sense reasoning that constitute social orders – arguments that led to the establishment and proliferation of ethnomethodology and conversation analysis. As the very "constructive analysis" that they opposed has begun to be incorporated into influential lines of research in ethnomethodology and conversation analysis, the authors return to the founding insights of the field and reiterate the importance of Garfinkel and Sacks’ original and controversial proposals for an "alternate" sociology of practical action and practical reasoning. Showing how constructive analysis has become entrenched in ethnomethodology and conversation analysis and arguing for a need to "re-boot" these approaches, this volume constitutes a call for a renewal of the radical alternative proposed by Garfinkel and Sacks.
Author: Catherine Cassell Publisher: SAGE ISBN: 9780761948889 Category : Business & Economics Languages : en Pages : 414
Book Description
This text covers an array of methods needed for undertaking qualitative data collection & analysis. It includes 30 chapters, each focusing on a specific technique including chapters on traditional methods, analysis techniques, intervention methods & the latest developments in research methods.
Author: Pam Denicolo Publisher: SAGE ISBN: 1473988136 Category : Social Science Languages : en Pages : 293
Book Description
This book provides a comprehensive overview of personal construct psychology (PCP) that will help researchers understand the why′s, what′s and how′s of conducting a rigorous constructivist research project. From the theoretical underpinnings of constructivist approaches to the practical values of these techniques, these three expert authors explain how to conduct interpretative, constructivist research from inception to completion. Key topics include: Understanding research philosophies and paradigms Constructing and exploring personal realities Establishing effective research procedures Evaluating grids, mapping, narrative and other research methods Managing the practicalities of fieldwork Analysing and presenting data With activities and procedural examples from a wide range of disciplines woven throughout the text and two special chapters featuring in-depth case studies from a variety of constructivist researchers, this book helps readers grasp the tools, designs, and opportunities of interpretative research. An essential companion for both researchers and practitioners looking to understand people’s values, attitudes, beliefs, perceptions, or motivations!
Author: Neil J. Salkind Publisher: SAGE ISBN: 1412961270 Category : Philosophy Languages : en Pages : 1779
Book Description
"Comprising more than 500 entries, the Encyclopedia of Research Design explains how to make decisions about research design, undertake research projects in an ethical manner, interpret and draw valid inferences from data, and evaluate experiment design strategies and results. Two additional features carry this encyclopedia far above other works in the field: bibliographic entries devoted to significant articles in the history of research design and reviews of contemporary tools, such as software and statistical procedures, used to analyze results. It covers the spectrum of research design strategies, from material presented in introductory classes to topics necessary in graduate research; it addresses cross- and multidisciplinary research needs, with many examples drawn from the social and behavioral sciences, neurosciences, and biomedical and life sciences; it provides summaries of advantages and disadvantages of often-used strategies; and it uses hundreds of sample tables, figures, and equations based on real-life cases."--Publisher's description.