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Author : Shwu-Yeng T. Lin
Publisher : Mancorp Publishing
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.3/5 (91 download)
Download or read book Set Theory with Applications written by Shwu-Yeng T. Lin and published by Mancorp Publishing. This book was released on 1985 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert R. Stoll
Publisher : Courier Corporation
ISBN 13 : 0486139646
Total Pages : 512 pages
Book Rating : 4.4/5 (861 download)
Download or read book Set Theory and Logic written by Robert R. Stoll and published by Courier Corporation. This book was released on 2012-05-23 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.
Author : Charles C Pinter
Publisher : Courier Corporation
ISBN 13 : 0486497089
Total Pages : 259 pages
Book Rating : 4.4/5 (864 download)
Download or read book A Book of Set Theory written by Charles C Pinter and published by Courier Corporation. This book was released on 2014-07-23 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--
Author : Mai Publishing
Publisher :
ISBN 13 : 9780916060060
Total Pages : 433 pages
Book Rating : 4.0/5 (6 download)
Download or read book Logic and Set Theory with Applications written by Mai Publishing and published by . This book was released on 2002-01-01 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen Watson
Publisher : Berlin ; New York : Springer-Verlag
ISBN 13 : 9780387517308
Total Pages : 0 pages
Book Rating : 4.5/5 (173 download)
Download or read book Set Theory and Its Applications written by Stephen Watson and published by Berlin ; New York : Springer-Verlag. This book was released on 1989 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Set Theory and Applications meeting at York University, Ontario, featured both contributed talks and a series of invited lectures on topics central to set theory and to general topology. These proceedings contain a selection of the resulting papers, mostly announcing new unpublished results.
Author : Krzysztof Ciesielski
Publisher : Cambridge University Press
ISBN 13 : 9780521594653
Total Pages : 256 pages
Book Rating : 4.5/5 (946 download)
Download or read book Set Theory for the Working Mathematician written by Krzysztof Ciesielski and published by Cambridge University Press. This book was released on 1997-08-28 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents those methods of modern set theory most applicable to other areas of pure mathematics.
Author : Daniel Gerbner
Publisher : CRC Press
ISBN 13 : 0429804113
Total Pages : 269 pages
Book Rating : 4.4/5 (298 download)
Download or read book Extremal Finite Set Theory written by Daniel Gerbner and published by CRC Press. This book was released on 2018-10-12 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extremal Finite Set Theory surveys old and new results in the area of extremal set system theory. It presents an overview of the main techniques and tools (shifting, the cycle method, profile polytopes, incidence matrices, flag algebras, etc.) used in the different subtopics. The book focuses on the cardinality of a family of sets satisfying certain combinatorial properties. It covers recent progress in the subject of set systems and extremal combinatorics. Intended for graduate students, instructors teaching extremal combinatorics and researchers, this book serves as a sound introduction to the theory of extremal set systems. In each of the topics covered, the text introduces the basic tools used in the literature. Every chapter provides detailed proofs of the most important results and some of the most recent ones, while the proofs of some other theorems are posted as exercises with hints. Features: Presents the most basic theorems on extremal set systems Includes many proof techniques Contains recent developments The book’s contents are well suited to form the syllabus for an introductory course About the Authors: Dániel Gerbner is a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences in Budapest, Hungary. He holds a Ph.D. from Eötvös Loránd University, Hungary and has contributed to numerous publications. His research interests are in extremal combinatorics and search theory. Balázs Patkós is also a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences. He holds a Ph.D. from Central European University, Budapest and has authored several research papers. His research interests are in extremal and probabilistic combinatorics.
Author : George J. Klir
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.3/5 (91 download)
Download or read book Fuzzy Set Theory written by George J. Klir and published by . This book was released on 1997 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy Set Theory: Foundations and Applications serves as a simple introduction to basic elements of fuzzy set theory. The emphasis is on a conceptual rather than a theoretical presentation of the material. Fuzzy Set Theory also contains an overview of the corresponding elements of classical set theory - including basic ideas of classical relations - as well as an overview of classical logic. Because the inclusion of background material in these classical foundations provides a self-contained course of study, students from many different academic backgrounds will have access to this important new theory.
Author : Ralf Schindler
Publisher : Springer
ISBN 13 : 3319067257
Total Pages : 332 pages
Book Rating : 4.3/5 (19 download)
Download or read book Set Theory written by Ralf Schindler and published by Springer. This book was released on 2014-05-22 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook gives an introduction to axiomatic set theory and examines the prominent questions that are relevant in current research in a manner that is accessible to students. Its main theme is the interplay of large cardinals, inner models, forcing and descriptive set theory. The following topics are covered: • Forcing and constructability • The Solovay-Shelah Theorem i.e. the equiconsistency of ‘every set of reals is Lebesgue measurable’ with one inaccessible cardinal • Fine structure theory and a modern approach to sharps • Jensen’s Covering Lemma • The equivalence of analytic determinacy with sharps • The theory of extenders and iteration trees • A proof of projective determinacy from Woodin cardinals. Set Theory requires only a basic knowledge of mathematical logic and will be suitable for advanced students and researchers.
Author : Iqbal H. Jebril
Publisher : CRC Press
ISBN 13 : 0429665989
Total Pages : 170 pages
Book Rating : 4.4/5 (296 download)
Download or read book Concise Introduction to Logic and Set Theory written by Iqbal H. Jebril and published by CRC Press. This book was released on 2021-09-30 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with two important branches of mathematics, namely, logic and set theory. Logic and set theory are closely related and play very crucial roles in the foundation of mathematics, and together produce several results in all of mathematics. The topics of logic and set theory are required in many areas of physical sciences, engineering, and technology. The book offers solved examples and exercises, and provides reasonable details to each topic discussed, for easy understanding. The book is designed for readers from various disciplines where mathematical logic and set theory play a crucial role. The book will be of interested to students and instructors in engineering, mathematics, computer science, and technology.
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 : L. Babinkostova, A. E. Caicedo, S. Geschke, and M. Scheepers
Publisher : American Mathematical Soc.
ISBN 13 : 0821873938
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)
Download or read book Set Theory and Its Applications written by L. Babinkostova, A. E. Caicedo, S. Geschke, and M. Scheepers and published by American Mathematical Soc.. This book was released on 2011 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sunil Jacob John
Publisher : Springer Nature
ISBN 13 : 303057654X
Total Pages : 251 pages
Book Rating : 4.0/5 (35 download)
Download or read book Soft Sets written by Sunil Jacob John and published by Springer Nature. This book was released on 2020-10-01 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a self-contained guide to the theory and main applications of soft sets. It introduces readers to the basic concepts, the algebraic and topological structures, as well as hybrid structures, such as fuzzy soft sets and intuitionistic fuzzy sets. The last part of the book explores a range of interesting applications in the fields of decision-making, pattern recognition, and data science. All in all, the book provides graduate students and researchers in mathematics and various applied science fields with a comprehensive and timely reference guide to soft sets.
Author : Azriel Levy
Publisher : Courier Corporation
ISBN 13 : 0486150739
Total Pages : 418 pages
Book Rating : 4.4/5 (861 download)
Download or read book Basic Set Theory written by Azriel Levy and published by Courier Corporation. This book was released on 2012-06-11 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although this book deals with basic set theory (in general, it stops short of areas where model-theoretic methods are used) on a rather advanced level, it does it at an unhurried pace. This enables the author to pay close attention to interesting and important aspects of the topic that might otherwise be skipped over. Written for upper-level undergraduate and graduate students, the book is divided into two parts. The first covers pure set theory, including the basic notions, order and well-foundedness, cardinal numbers, the ordinals, and the axiom of choice and some of its consequences. The second part deals with applications and advanced topics, among them a review of point set topology, the real spaces, Boolean algebras, and infinite combinatorics and large cardinals. A helpful appendix deals with eliminability and conservation theorems, while numerous exercises supply additional information on the subject matter and help students test their grasp of the material. 1979 edition. 20 figures.
Author : Winfried Just
Publisher : American Mathematical Soc.
ISBN 13 : 0821802666
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)
Download or read book Discovering Modern Set Theory: The basics written by Winfried Just and published by American Mathematical Soc.. This book was released on 1996 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to set theory for beginning graduate students who want to get a sound grounding in those aspects of set theory used extensively throughout other areas of mathematics. Topics covered include formal languages and models, the power and limitation of the Axiomatic Method, the Axiom of Choice, including the fascinating Banach-Tarski Paradox, applications of Zorn's Lemma, ordinal arithmetic, including transfinite induction, and cardinal arithmetic. The style of writing, more a dialogue with the reader than that of the Master indoctrinating the pupil, makes this also very suitable for self-study.
Author : Cheifetz
Publisher :
ISBN 13 : 9780916060107
Total Pages : pages
Book Rating : 4.0/5 (61 download)
Download or read book Solutions for Even-Numbered Problems to Accompany Logic and Set Theory with Applications Seventh Edition written by Cheifetz and published by . This book was released on 2015-09-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael L. O'Leary
Publisher : John Wiley & Sons
ISBN 13 : 1118548019
Total Pages : 464 pages
Book Rating : 4.1/5 (185 download)
Download or read book A First Course in Mathematical Logic and Set Theory written by Michael L. O'Leary and published by John Wiley & Sons. This book was released on 2015-09-14 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs Highlighting the applications and notations of basic mathematical concepts within the framework of logic and set theory, A First Course in Mathematical Logic and Set Theory introduces how logic is used to prepare and structure proofs and solve more complex problems. The book begins with propositional logic, including two-column proofs and truth table applications, followed by first-order logic, which provides the structure for writing mathematical proofs. Set theory is then introduced and serves as the basis for defining relations, functions, numbers, mathematical induction, ordinals, and cardinals. The book concludes with a primer on basic model theory with applications to abstract algebra. A First Course in Mathematical Logic and Set Theory also includes: Section exercises designed to show the interactions between topics and reinforce the presented ideas and concepts Numerous examples that illustrate theorems and employ basic concepts such as Euclid’s lemma, the Fibonacci sequence, and unique factorization Coverage of important theorems including the well-ordering theorem, completeness theorem, compactness theorem, as well as the theorems of Löwenheim–Skolem, Burali-Forti, Hartogs, Cantor–Schröder–Bernstein, and König An excellent textbook for students studying the foundations of mathematics and mathematical proofs, A First Course in Mathematical Logic and Set Theory is also appropriate for readers preparing for careers in mathematics education or computer science. In addition, the book is ideal for introductory courses on mathematical logic and/or set theory and appropriate for upper-undergraduate transition courses with rigorous mathematical reasoning involving algebra, number theory, or analysis.
