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Author : Jean-Pierre Ferrier
Publisher :
ISBN 13 : 9782854060355
Total Pages : 75 pages
Book Rating : 4.0/5 (63 download)
Download or read book Introduction à la théorie des ensembles written by Jean-Pierre Ferrier and published by . This book was released on 1975 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Kuratowski
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (138 download)
Download or read book Introduction a la Theorie Des Ensembles Et a la Topologie written by K. Kuratowski and published by . This book was released on 1966 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Richard Halmos
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (319 download)
Download or read book Introduction à la théorie des ensembles written by Paul Richard Halmos and published by . This book was released on 1970 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arnold Kaufmann
Publisher :
ISBN 13 :
Total Pages : 334 pages
Book Rating : 4.:/5 (899 download)
Download or read book Introduction à la théorie des sous-ensembles flous written by Arnold Kaufmann and published by . This book was released on 1977 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Judith Roitman
Publisher : John Wiley & Sons
ISBN 13 : 9780471635192
Total Pages : 188 pages
Book Rating : 4.6/5 (351 download)
Download or read book Introduction to Modern Set Theory written by Judith Roitman and published by John Wiley & Sons. This book was released on 1990-01-16 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is modern set theory from the ground up--from partial orderings and well-ordered sets to models, infinite cobinatorics and large cardinals. The approach is unique, providing rigorous treatment of basic set-theoretic methods, while integrating advanced material such as independence results, throughout. The presentation incorporates much interesting historical material and no background in mathematical logic is assumed. Treatment is self-contained, featuring theorem proofs supported by diagrams, examples and exercises. Includes applications of set theory to other branches of mathematics.
Author : Bernd Schröder
Publisher : Springer Science & Business Media
ISBN 13 : 1461200539
Total Pages : 401 pages
Book Rating : 4.4/5 (612 download)
Download or read book Ordered Sets written by Bernd Schröder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. The text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory course.
Author : Robert L. Vaught
Publisher : Springer Science & Business Media
ISBN 13 : 0817642560
Total Pages : 182 pages
Book Rating : 4.8/5 (176 download)
Download or read book Set Theory: An Introduction written by Robert L. Vaught and published by Springer Science & Business Media. This book was released on 2001-08-28 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: By its nature, set theory does not depend on any previous mathematical knowl edge. Hence, an individual wanting to read this book can best find out if he is ready to do so by trying to read the first ten or twenty pages of Chapter 1. As a textbook, the book can serve for a course at the junior or senior level. If a course covers only some of the chapters, the author hopes that the student will read the rest himself in the next year or two. Set theory has always been a sub ject which people find pleasant to study at least partly by themselves. Chapters 1-7, or perhaps 1-8, present the core of the subject. (Chapter 8 is a short, easy discussion of the axiom of regularity). Even a hurried course should try to cover most of this core (of which more is said below). Chapter 9 presents the logic needed for a fully axiomatic set th~ory and especially for independence or consistency results. Chapter 10 gives von Neumann's proof of the relative consistency of the regularity axiom and three similar related results. Von Neumann's 'inner model' proof is easy to grasp and yet it prepares one for the famous and more difficult work of GOdel and Cohen, which are the main topics of any book or course in set theory at the next level.
Author : Valeriy K. Zakharov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110550946
Total Pages : 448 pages
Book Rating : 4.1/5 (15 download)
Download or read book Fundamentals of Set and Number Theory written by Valeriy K. Zakharov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-02-05 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive two-volume work is devoted to the most general beginnings of mathematics. It goes back to Hausdorff’s classic Set Theory (2nd ed., 1927), where set theory and the theory of functions were expounded as the fundamental parts of mathematics in such a way that there was no need for references to other sources. Along the lines of Hausdorff’s initial work (1st ed., 1914), measure and integration theory is also included here as the third fundamental part of contemporary mathematics.The material about sets and numbers is placed in Volume 1 and the material about functions and measures is placed in Volume 2. Contents Fundamentals of the theory of classes, sets, and numbers Characterization of all natural models of Neumann – Bernays – Godel and Zermelo – Fraenkel set theories Local theory of sets as a foundation for category theory and its connection with the Zermelo – Fraenkel set theory Compactness theorem for generalized second-order language
Author : Karel Hrbacek
Publisher : CRC Press
ISBN 13 : 1482276852
Total Pages : 310 pages
Book Rating : 4.4/5 (822 download)
Download or read book Introduction to Set Theory, Revised and Expanded written by Karel Hrbacek and published by CRC Press. This book was released on 2017-12-19 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thoroughly revised, updated, expanded, and reorganized to serve as a primary text for mathematics courses, Introduction to Set Theory, Third Edition covers the basics: relations, functions, orderings, finite, countable, and uncountable sets, and cardinal and ordinal numbers. It also provides five additional self-contained chapters, consolidates the material on real numbers into a single updated chapter affording flexibility in course design, supplies end-of-section problems, with hints, of varying degrees of difficulty, includes new material on normal forms and Goodstein sequences, and adds important recent ideas including filters, ultrafilters, closed unbounded and stationary sets, and partitions.
Author : Philipp Rothmaler
Publisher : CRC Press
ISBN 13 : 0429668503
Total Pages : 324 pages
Book Rating : 4.4/5 (296 download)
Download or read book Introduction to Model Theory written by Philipp Rothmaler and published by CRC Press. This book was released on 2018-12-07 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect. This text introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory. In this spirit, the compactness theorem is proved via the algebraically useful ultrsproduct technique (rather than via the completeness theorem of first-order logic). This leads fairly quickly to algebraic applications, like Malcev's local theorems of group theory and, after a little more preparation, to Hilbert's Nullstellensatz of field theory. Steinitz dimension theory for field extensions is obtained as a special case of a much more general model-theoretic treatment of strongly minimal theories. There is a final chapter on the models of the first-order theory of the integers as an abelian group. Both these topics appear here for the first time in a textbook at the introductory level, and are used to give hints to further reading and to recent developments in the field, such as stability (or classification) theory.
Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 0080954952
Total Pages : 529 pages
Book Rating : 4.0/5 (89 download)
Download or read book SET THEORY written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: SET THEORY
Author : Felix Hausdorff
Publisher : American Mathematical Society(RI)
ISBN 13 : 9780828411196
Total Pages : 356 pages
Book Rating : 4.4/5 (111 download)
Download or read book Set Theory written by Felix Hausdorff and published by American Mathematical Society(RI). This book was released on 1991 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: A translation into English of the third edition of the classic German book Mengenlehre which was first published in 1937.
Author : Valeriy K. Zakharov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110550962
Total Pages : 480 pages
Book Rating : 4.1/5 (15 download)
Download or read book Fundamentals of Functions and Measure Theory written by Valeriy K. Zakharov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-02-05 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive two-volume work is devoted to the most general beginnings of mathematics. It goes back to Hausdorff’s classic Set Theory (2nd ed., 1927), where set theory and the theory of functions were expounded as the fundamental parts of mathematics in such a way that there was no need for references to other sources. Along the lines of Hausdorff’s initial work (1st ed., 1914), measure and integration theory is also included here as the third fundamental part of contemporary mathematics. The material about sets and numbers is placed in Volume 1 and the material about functions and measures is placed in Volume 2. Contents Historical foreword on the centenary after Felix Hausdorff’s classic Set Theory Fundamentals of the theory of functions Fundamentals of the measure theory Historical notes on the Riesz – Radon – Frechet problem of characterization of Radon integrals as linear functionals
Author : Charu C. Aggarwal
Publisher : Springer
ISBN 13 : 3319547658
Total Pages : 288 pages
Book Rating : 4.3/5 (195 download)
Download or read book Outlier Ensembles written by Charu C. Aggarwal and published by Springer. This book was released on 2017-04-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses a variety of methods for outlier ensembles and organizes them by the specific principles with which accuracy improvements are achieved. In addition, it covers the techniques with which such methods can be made more effective. A formal classification of these methods is provided, and the circumstances in which they work well are examined. The authors cover how outlier ensembles relate (both theoretically and practically) to the ensemble techniques used commonly for other data mining problems like classification. The similarities and (subtle) differences in the ensemble techniques for the classification and outlier detection problems are explored. These subtle differences do impact the design of ensemble algorithms for the latter problem. This book can be used for courses in data mining and related curricula. Many illustrative examples and exercises are provided in order to facilitate classroom teaching. A familiarity is assumed to the outlier detection problem and also to generic problem of ensemble analysis in classification. This is because many of the ensemble methods discussed in this book are adaptations from their counterparts in the classification domain. Some techniques explained in this book, such as wagging, randomized feature weighting, and geometric subsampling, provide new insights that are not available elsewhere. Also included is an analysis of the performance of various types of base detectors and their relative effectiveness. The book is valuable for researchers and practitioners for leveraging ensemble methods into optimal algorithmic design.
Author : Karel Hrbacek
Publisher : CRC Press
ISBN 13 : 9780824779153
Total Pages : 320 pages
Book Rating : 4.7/5 (791 download)
Download or read book Introduction to Set Theory, Third Edition, Revised and Expanded written by Karel Hrbacek and published by CRC Press. This book was released on 1999-06-22 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thoroughly revised, updated, expanded, and reorganized to serve as a primary text for mathematics courses, Introduction to Set Theory, Third Edition covers the basics: relations, functions, orderings, finite, countable, and uncountable sets, and cardinal and ordinal numbers. It also provides five additional self-contained chapters, consolidates the material on real numbers into a single updated chapter affording flexibility in course design, supplies end-of-section problems, with hints, of varying degrees of difficulty, includes new material on normal forms and Goodstein sequences, and adds important recent ideas including filters, ultrafilters, closed unbounded and stationary sets, and partitions.
Author : Didier J. Dubois
Publisher : Academic Press
ISBN 13 : 0080917720
Total Pages : 413 pages
Book Rating : 4.0/5 (89 download)
Download or read book Fuzzy Sets and Systems written by Didier J. Dubois and published by Academic Press. This book was released on 1980-12-01 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy Sets and Systems
Author : Daniel Parrochia
Publisher : John Wiley & Sons
ISBN 13 : 1394209371
Total Pages : 276 pages
Book Rating : 4.3/5 (942 download)
Download or read book Mathematics and Philosophy 2 written by Daniel Parrochia and published by John Wiley & Sons. This book was released on 2023-04-14 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Pythagoreans to Hegel, and beyond, this book gives a brief overview of the history of the notion of graphs and introduces the main concepts of graph theory in order to apply them to philosophy. In addition, this book presents how philosophers can use various mathematical notions of order. Throughout the book, philosophical operations and concepts are defined through examining questions relating the two kinds of known infinities – discrete and continuous – and how Woodin's approach can influence elements of philosophy. We also examine how mathematics can help a philosopher to discover the elements of stability which will help to build an image of the world, even if various approaches (for example, negative theology) generally cannot be valid. Finally, we briefly consider the possibilities of weakening formal thought represented by fuzziness and neutrosophic graphs. In a nutshell, this book expresses the importance of graphs when representing ideas and communicating them clearly with others.
