Elements Of Set Theory

Author : Herbert B. Enderton
Publisher : Academic Press
Page : 279 pages
File Size : 54,5 Mb
Release : 1977-05-23
Category : Mathematics
ISBN : 9780080570426

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Elements of Set Theory by Herbert B. Enderton Pdf

This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.

Author : Herbert B. Enderton
Publisher : Gulf Professional Publishing
Page : 294 pages
File Size : 40,6 Mb
Release : 1977-04-28
Category : Mathematics
ISBN : 9780122384400

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Elements of Set Theory by Herbert B. Enderton Pdf

This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.

Author : Oscar Levin
Publisher : Createspace Independent Publishing Platform
Page : 238 pages
File Size : 54,5 Mb
Release : 2018-07-30
Category : Electronic
ISBN : 1724572636

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Discrete Mathematics by Oscar Levin Pdf

Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.

Author : Patrick Suppes
Publisher : Courier Corporation
Page : 265 pages
File Size : 52,6 Mb
Release : 2012-05-04
Category : Mathematics
ISBN : 9780486136875

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Axiomatic Set Theory by Patrick Suppes Pdf

Geared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition.

Author : Jerzy Słupecki,Ludwik Borkowski
Publisher : Pergamon
Page : 374 pages
File Size : 48,6 Mb
Release : 1967
Category : Mathematics
ISBN : UOM:39015078124834

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Elements of Mathematical Logic and Set Theory by Jerzy Słupecki,Ludwik Borkowski Pdf

Author : Robert R. Stoll
Publisher : Courier Corporation
Page : 512 pages
File Size : 47,8 Mb
Release : 2012-05-23
Category : Mathematics
ISBN : 9780486139647

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Set Theory and Logic by Robert R. Stoll Pdf

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 : Karel Hrbacek,Thomas J. Jech
Publisher : Unknown
Page : 272 pages
File Size : 50,7 Mb
Release : 1984
Category : Set theory
ISBN : UOM:39076000787080

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Introduction to Set Theory by Karel Hrbacek,Thomas J. Jech Pdf

Author : Charles C Pinter
Publisher : Courier Corporation
Page : 259 pages
File Size : 40,6 Mb
Release : 2014-07-23
Category : Mathematics
ISBN : 9780486497082

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A Book of Set Theory by Charles C Pinter Pdf

"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 : D.C. Goldrei
Publisher : Routledge
Page : 296 pages
File Size : 43,5 Mb
Release : 2017-09-06
Category : Mathematics
ISBN : 9781351460613

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Classic Set Theory by D.C. Goldrei Pdf

Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. This includes:The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbersDefining natural numbers in terms of setsThe potential paradoxes in set theoryThe Zermelo-Fraenkel axioms for set theoryThe axiom of choiceThe arithmetic of ordered setsCantor's two sorts of transfinite number - cardinals and ordinals - and the arithmetic of these.The book is designed for students studying on their own, without access to lecturers and other reading, along the lines of the internationally renowned courses produced by the Open University. There are thus a large number of exercises within the main body of the text designed to help students engage with the subject, many of which have full teaching solutions. In addition, there are a number of exercises without answers so students studying under the guidance of a tutor may be assessed.Classic Set Theory gives students sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant problems that arise from the theory.

Author : Jerzy Słupecki,Ludwik Borkowski
Publisher : Pergamon
Page : 374 pages
File Size : 49,8 Mb
Release : 1967
Category : Mathematics
ISBN : WISC:89033910357

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Elements of Mathematical Logic and Set Theory by Jerzy Słupecki,Ludwik Borkowski Pdf

Author : Nigel Cutland
Publisher : Cambridge University Press
Page : 268 pages
File Size : 44,7 Mb
Release : 1980-06-19
Category : Computers
ISBN : 0521294657

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Computability by Nigel Cutland Pdf

What can computers do in principle? What are their inherent theoretical limitations? The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function - a function whose values can be calculated in an automatic way.

Author : Paul Richard Halmos
Publisher : Unknown
Page : 122 pages
File Size : 46,6 Mb
Release : 1960
Category : Mathematics
ISBN : UOM:39015006570702

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Naive Set Theory by Paul Richard Halmos Pdf

From the Reviews: .,."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

Author : Krzysztof Ciesielski
Publisher : Cambridge University Press
Page : 256 pages
File Size : 42,6 Mb
Release : 1997-08-28
Category : Mathematics
ISBN : 0521594650

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Set Theory for the Working Mathematician by Krzysztof Ciesielski Pdf

Presents those methods of modern set theory most applicable to other areas of pure mathematics.

Author : John P. Burgess
Publisher : Cambridge University Press
Page : 75 pages
File Size : 41,6 Mb
Release : 2022-02-28
Category : Philosophy
ISBN : 1108986919

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Set Theory by John P. Burgess Pdf

Set theory is a branch of mathematics with a special subject matter, the infinite, but also a general framework for all modern mathematics, whose notions figure in every branch, pure and applied. This Element will offer a concise introduction, treating the origins of the subject, the basic notion of set, the axioms of set theory and immediate consequences, the set-theoretic reconstruction of mathematics, and the theory of the infinite, touching also on selected topics from higher set theory, controversial axioms and undecided questions, and philosophical issues raised by technical developments.

Author : F. William Lawvere,Robert Rosebrugh
Publisher : Cambridge University Press
Page : 280 pages
File Size : 49,9 Mb
Release : 2003-01-27
Category : Mathematics
ISBN : 0521010608

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Sets for Mathematics by F. William Lawvere,Robert Rosebrugh Pdf

In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.