Elementary Set Theory
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Elementary Set Theory Part I
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Author : K.T. Leung
language : en
Publisher: Hong Kong University Press
Release Date : 1992-10-01
Elementary Set Theory Part I written by K.T. Leung and has been published by Hong Kong University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-01 with Mathematics categories.
This book provides students of mathematics with the minimum amount of knowledge in logic and set theory needed for a profitable continuation of their studies. There is a chapter on statement calculus, followed by eight chapters on set theory.
Elementary Set Theory Part I Ii
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Author : K.T. Leung
language : en
Publisher: Hong Kong University Press
Release Date : 1992-07-01
Elementary Set Theory Part I Ii written by K.T. Leung and has been published by Hong Kong University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-07-01 with Mathematics categories.
This book provides students of mathematics with the minimum amount of knowledge in logic and set theory needed for a profitable continuation of their studies. There is a chapter on statement calculus, followed by eight chapters on set theory.
Basic Set Theory
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Author : Nikolai Konstantinovich Vereshchagin
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Basic Set Theory written by Nikolai Konstantinovich Vereshchagin 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 2002 with Mathematics categories.
The main notions of set theory (cardinals, ordinals, transfinite induction) are fundamental to all mathematicians, not only to those who specialize in mathematical logic or set-theoretic topology. Basic set theory is generally given a brief overview in courses on analysis, algebra, or topology, even though it is sufficiently important, interesting, and simple to merit its own leisurely treatment. This book provides just that: a leisurely exposition for a diversified audience. It is suitable for a broad range of readers, from undergraduate students to professional mathematicians who want to finally find out what transfinite induction is and why it is always replaced by Zorn's Lemma. The text introduces all main subjects of ``naive'' (nonaxiomatic) set theory: functions, cardinalities, ordered and well-ordered sets, transfinite induction and its applications, ordinals, and operations on ordinals. Included are discussions and proofs of the Cantor-Bernstein Theorem, Cantor's diagonal method, Zorn's Lemma, Zermelo's Theorem, and Hamel bases. With over 150 problems, the book is a complete and accessible introduction to the subject.
Basic Set Theory
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Author : Azriel Levy
language : en
Publisher: Springer Verlag
Release Date : 1979
Basic Set Theory written by Azriel Levy and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
Introduction To Modern Set Theory
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Author : Judith Roitman
language : en
Publisher: John Wiley & Sons
Release Date : 1990-01-16
Introduction To Modern Set Theory written by Judith Roitman and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-16 with Mathematics categories.
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.
Set Theory For Pre Beginners
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Author : Steve Warner
language : en
Publisher:
Release Date : 2019-12-28
Set Theory For Pre Beginners written by Steve Warner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-28 with categories.
Set Theory for Pre-BeginnersSet Theory for Pre-Beginners consists of a series of lessons in set theory. The 8 lessons in this book cover elementary material from this subject. A "pre-beginner" is a math student that is ready to start learning some more advanced mathematics, but is not quite ready to dive into proofwriting. Set Theory for Pre-Beginners is perfect for students wishing to begin learning advanced mathematics, but that are not quite ready to start writing proofs. high school teachers that want to expose their students to the ideas of advanced mathematics without getting into mathematical rigor. professors that wish to introduce higher mathematics to non-stem majors. The material in this set theory book includes: 8 lessons in 8 subject areas. Examples and exercises throughout each lesson. A problem set after each lesson arranged by difficulty level. A complete solution guide is included as a downloadable PDF file. Pure Math Pre-Beginner Book Table Of Contents (Selected) Here's a selection from the table of contents: Introduction Lesson 1 - Sets and Subsets Lesson 2 - Operations on Sets Lesson 3 - Relations Lesson 4 - Equivalence Relations and Partitions Lesson 5 - Functions Lesson 6 - Equinumerosity Lesson 7 - Logic and Axioms Lesson 8 - Ordinals and Cardinals
Elementary Set Theory
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Author : George A. Duckett
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2016-05-25
Elementary Set Theory written by George A. Duckett and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-25 with categories.
If you have a question about Elementary Set Theory this is the book with the answers. Elementary Set Theory: Questions and Answers takes some of the best questions and answers asked on the math.stackexchange.com website. You can use this book to look up commonly asked questions, browse questions on a particular topic, compare answers to common topics, check out the original source and much more. This book has been designed to be very easy to use, with many internal references set up that makes browsing in many different ways possible. Topics covered include: Functions, Cardinals, Real Analysis, Logic, Axiom Of Choice, Notation, Infinity, General Topology, Order Theory, Ordinals, Discrete Mathematics, Combinatorics, Analysis, Relations, Terminology, Abstract Algebra, Measure Theory, Definition, Intuition and many more."
Notes On Set Theory
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Author : Yiannis Moschovakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Notes On Set Theory written by Yiannis Moschovakis 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 2013-04-17 with Mathematics categories.
What this book is about. The theory of sets is a vibrant, exciting math ematical theory, with its own basic notions, fundamental results and deep open problems, and with significant applications to other mathematical theories. At the same time, axiomatic set theory is often viewed as a foun dation ofmathematics: it is alleged that all mathematical objects are sets, and their properties can be derived from the relatively few and elegant axioms about sets. Nothing so simple-minded can be quite true, but there is little doubt that in standard, current mathematical practice, "making a notion precise" is essentially synonymous with "defining it in set theory. " Set theory is the official language of mathematics, just as mathematics is the official language of science. Like most authors of elementary, introductory books about sets, I have tried to do justice to both aspects of the subject. From straight set theory, these Notes cover the basic facts about "ab stract sets," including the Axiom of Choice, transfinite recursion, and car dinal and ordinal numbers. Somewhat less common is the inclusion of a chapter on "pointsets" which focuses on results of interest to analysts and introduces the reader to the Continuum Problem, central to set theory from the very beginning.
Basic Set Theory
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Author : A. Levy
language : en
Publisher: Springer
Release Date : 2012-11-28
Basic Set Theory written by A. Levy and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-28 with Mathematics categories.
Almost all the recently-published books on set theory are of one of the following two kinds. Books of the first kind treat set theory on an elementary level which is, roughly, the level needed for studying point set topology and Steinitz's theorem on the existence of the algebraic elosure of a general field. Books of the second kind are books which give a more or less detailed exposition of several areas of set theory that are subject to intensive current research, such as constructibility, forcing, large cardinals and determinacy. Books of the first kind may serve well as an introduction to the subject but are too elementary for the student or the mathematician who wants to gain a deeper understanding of set theory. The books of the second kind usually go hurriedly through the basic parts of set theory in their justified haste to get at the more advanced topics. One of the advantages of writing a book in aseries such as the Perspectives in Mathematical Logic is that one is able to write a book on a rather advanced level covering the basic material in an unhurried pace. There is no need to reach the fron tiers of the subject as one can leave this to other books in the series. This enables the author to pay elose attention to interesting and important aspects of the subject which do not lie on the straight road to the very central topics of current research.
Set Theory Essentials
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Author : Emil Milewski
language : en
Publisher: Research & Education Assoc.
Release Date : 2013-01-01
Set Theory Essentials written by Emil Milewski and has been published by Research & Education Assoc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-01 with Mathematics categories.
REA’s Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Set Theory includes elementary logic, sets, relations, functions, denumerable and non-denumerable sets, cardinal numbers, Cantor's theorem, axiom of choice, and order relations.