Basic Set Theory
DOWNLOAD
Download Basic Set Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Basic Set Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Basic Set Theory
DOWNLOAD
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
DOWNLOAD
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.
Basic Set Theory
DOWNLOAD
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.
Introduction To Set Theory
DOWNLOAD
Author : Karel Hrbacek
language : en
Publisher:
Release Date : 1984
Introduction To Set Theory written by Karel Hrbacek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
Handbook Of Set Theoretic Topology
DOWNLOAD
Author : Kenneth Kunen
language : en
Publisher: North-Holland
Release Date : 1984
Handbook Of Set Theoretic Topology written by Kenneth Kunen and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
This Handbook is an introduction to set-theoretic topology for students in the field and for researchers in other areas for whom results in set-theoretic topology may be relevant. The aim of the editors has been to make it as self-contained as possible without repeating material which can easily be found in standard texts. The Handbook contains detailed proofs of core results, and references to the literature for peripheral results where space was insufficient. Included are many open problems of current interest.In general, the articles may be read in any order. In a few cases they occur in pairs, with the first one giving an elementary treatment of a subject and the second one more advanced results. These pairs are: Hodel and Juhaacute;sz on cardinal functions; Roitman and Abraham-Todorccaron;evicacute; on S- and L-spaces; Weiss and Baumgartner on versions of Martin's axiom; and Vaughan and Stephenson on compactness properties.
Introduction To Axiomatic Set Theory
DOWNLOAD
Author : Edward John Lemmon
language : en
Publisher:
Release Date : 1969
Introduction To Axiomatic Set Theory written by Edward John Lemmon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
Set Theory
DOWNLOAD
Author : Norman Tyson Hamilton
language : en
Publisher:
Release Date : 2012-06-01
Set Theory written by Norman Tyson Hamilton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-01 with categories.
Cantorian Set Theory And Limitation Of Size
DOWNLOAD
Author : Michael Hallett
language : en
Publisher: Oxford University Press, USA
Release Date : 1984
Cantorian Set Theory And Limitation Of Size written by Michael Hallett and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Business & Economics categories.
Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity. The philosophical and heuristic framework he developed had a lasting effect on modern mathematics, and is the recurrent theme of this volume. Hallett explores Cantor's ideas and, in particular, their ramifications for Zermelo-Frankel set theory.
Naive Set Theory
DOWNLOAD
Author : Paul Richard Halmos
language : en
Publisher: Martino Fine Books
Release Date : 2011
Naive Set Theory written by Paul Richard Halmos and has been published by Martino Fine Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Set theory categories.
2011 Reprint of 1960 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Paul Richard Halmos (1916-2006) was a Hungarian-born American mathematician who made fundamental advances in the areas of probability theory, statistics, operator theory, ergodic theory, and functional analysis (in particular, Hilbert spaces). He was also recognized as a great mathematical expositor. "...He (the author) uses the language and notation of ordinary informal mathematics to state the basic set-theoretic facts which a beginning student of advanced mathematics needs to know...Because of the informal method of presentation, the book is eminently suited for use as a textbook or for self-study. The reader should derive from this volume a maximum of understanding of the theorems of set theory and of their basic importance in the study of mathematics." - "Philosophy and Phenomenological Research".
Programming In Martin L F S Type Theory
DOWNLOAD
Author : Bengt Nordström
language : en
Publisher:
Release Date : 1990
Programming In Martin L F S Type Theory written by Bengt Nordström and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Computers categories.
In recent years, several formalisms for program construction have appeared. One such formalism is the type theory developed by Per Martin-Löf. Well suited as a theory for program construction, it makes possible the expression of both specifications and programs within the same formalism. Furthermore, the proof rules can be used to derive a correct program from a specification as well as to verify that a given program has a certain property. This book contains a thorough introduction to type theory, with information on polymorphic sets, subsets, monomorphic sets, and a full set of helpful examples.