Elementary Set Theory Part I Ii
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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.
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
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Author : Kam-Tim Leung
language : en
Publisher:
Release Date : 1970
Elementary Set Theory written by Kam-Tim Leung and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
Elementary Set Theory
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Author : Kam-Tim Leung
language : en
Publisher:
Release Date : 1967
Elementary Set Theory written by Kam-Tim Leung and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Set theory categories.
Axiomatic Set Theory Part 2
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Author : Thomas J. Jech
language : en
Publisher: American Mathematical Soc.
Release Date : 1971
Axiomatic Set Theory Part 2 written by Thomas J. Jech 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 1971 with Axiomatic set theory categories.
Elementary Set Theory
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Author : Kam-Tim Leung
language : en
Publisher:
Release Date : 1967
Elementary Set Theory written by Kam-Tim Leung and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Set theory categories.
Basic Set Theory
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Author : Azriel Levy
language : en
Publisher: Courier Corporation
Release Date : 2012-06-11
Basic Set Theory written by Azriel Levy and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-11 with Mathematics categories.
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.
Elementary Set Theory
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Author : Kam-Tim Leung
language : en
Publisher:
Release Date : 1965
Elementary Set Theory written by Kam-Tim Leung and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
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.
Set Theory
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Author : Andras Hajnal
language : en
Publisher: Cambridge University Press
Release Date : 1999-11-11
Set Theory written by Andras Hajnal and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-11 with Mathematics categories.
This is a classic introduction to set theory in three parts. The first part gives a general introduction to set theory, suitable for undergraduates; complete proofs are given and no background in logic is required. Exercises are included, and the more difficult ones are supplied with hints. An appendix to the first part gives a more formal foundation to axiomatic set theory, supplementing the intuitive introduction given in the first part. The final part gives an introduction to modern tools of combinatorial set theory. This part contains enough material for a graduate course of one or two semesters. The subjects discussed include stationary sets, delta systems, partition relations, set mappings, measurable and real-valued measurable cardinals. Two sections give an introduction to modern results on exponentiation of singular cardinals, and certain deeper aspects of the topics are developed in advanced problems.