Elements Of Set Theory
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Elements of Set Theory
Author | : Herbert B. Enderton |
Publsiher | : Academic Press |
Total Pages | : 279 |
Release | : 1977-05-23 |
Genre | : Mathematics |
ISBN | : 9780080570426 |
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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.
Elements of Set Theory
Author | : Herbert B. Enderton |
Publsiher | : Gulf Professional Publishing |
Total Pages | : 294 |
Release | : 1977-04-28 |
Genre | : Mathematics |
ISBN | : 9780122384400 |
Download Elements of Set Theory Book in PDF, Epub and Kindle
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.
Introduction to Set Theory
Author | : Karel Hrbacek,Thomas J. Jech |
Publsiher | : Unknown |
Total Pages | : 272 |
Release | : 1984 |
Genre | : Set theory |
ISBN | : UOM:39076000787080 |
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Discrete Mathematics
Author | : Oscar Levin |
Publsiher | : Createspace Independent Publishing Platform |
Total Pages | : 238 |
Release | : 2018-07-30 |
Genre | : Electronic Book |
ISBN | : 1724572636 |
Download Discrete Mathematics Book in PDF, Epub and Kindle
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.
Axiomatic Set Theory
Author | : Patrick Suppes |
Publsiher | : Courier Corporation |
Total Pages | : 265 |
Release | : 2012-05-04 |
Genre | : Mathematics |
ISBN | : 9780486136875 |
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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.
Set Theory and Logic
Author | : Robert R. Stoll |
Publsiher | : Courier Corporation |
Total Pages | : 512 |
Release | : 2012-05-23 |
Genre | : Mathematics |
ISBN | : 9780486139647 |
Download Set Theory and Logic Book in PDF, Epub and Kindle
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.
Classic Set Theory
Author | : D.C. Goldrei |
Publsiher | : Routledge |
Total Pages | : 296 |
Release | : 2017-09-06 |
Genre | : Mathematics |
ISBN | : 9781351460613 |
Download Classic Set Theory Book in PDF, Epub and Kindle
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.
Elements of Mathematical Logic and Set Theory
Author | : Jerzy SÅ‚upecki,Ludwik Borkowski |
Publsiher | : Pergamon |
Total Pages | : 374 |
Release | : 1967 |
Genre | : Mathematics |
ISBN | : UOM:39015078124834 |
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