Elements Of Set Theory
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Author | : Herbert B. Enderton |
Publisher | : Academic Press |
Total Pages | : 294 |
Release | : 1977-05-23 |
Genre | : Mathematics |
ISBN | : 0080570429 |
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.
Author | : Herbert B. Enderton |
Publisher | : Gulf Professional Publishing |
Total Pages | : 294 |
Release | : 1977-04-28 |
Genre | : Mathematics |
ISBN | : 0122384407 |
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.
Author | : Karel Hrbacek |
Publisher | : |
Total Pages | : 272 |
Release | : 1984 |
Genre | : Mathematics |
ISBN | : |
Download Introduction to Set Theory Book in PDF, Epub and Kindle
Author | : Charles C Pinter |
Publisher | : Courier Corporation |
Total Pages | : 259 |
Release | : 2014-07-23 |
Genre | : Mathematics |
ISBN | : 0486497089 |
Download A Book of Set Theory Book in PDF, Epub and Kindle
"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 |
Total Pages | : 300 |
Release | : 2017-09-06 |
Genre | : Mathematics |
ISBN | : 1351460609 |
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.
Author | : James M. Henle |
Publisher | : Courier Corporation |
Total Pages | : 160 |
Release | : 2007-01-01 |
Genre | : Mathematics |
ISBN | : 0486453375 |
Download An Outline of Set Theory Book in PDF, Epub and Kindle
An innovative problem-oriented introduction to set theory, this volume is intended for undergraduate courses in which students work in groups on projects and present their solutions to the class. The three-part treatment consists of problems, hints for their solutions, and complete answers. 1986 edition.
Author | : John P. Burgess |
Publisher | : Cambridge University Press |
Total Pages | : 75 |
Release | : 2022-02-28 |
Genre | : Philosophy |
ISBN | : 9781108986915 |
Download Set Theory Book in PDF, Epub and Kindle
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 | : Abhijit Dasgupta |
Publisher | : Springer Science & Business Media |
Total Pages | : 434 |
Release | : 2013-12-11 |
Genre | : Mathematics |
ISBN | : 1461488540 |
Download Set Theory Book in PDF, Epub and Kindle
What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbook presents classical set theory in an intuitive but concrete manner. To allow flexibility of topic selection in courses, the book is organized into four relatively independent parts with distinct mathematical flavors. Part I begins with the Dedekind–Peano axioms and ends with the construction of the real numbers. The core Cantor–Dedekind theory of cardinals, orders, and ordinals appears in Part II. Part III focuses on the real continuum. Finally, foundational issues and formal axioms are introduced in Part IV. Each part ends with a postscript chapter discussing topics beyond the scope of the main text, ranging from philosophical remarks to glimpses into landmark results of modern set theory such as the resolution of Lusin's problems on projective sets using determinacy of infinite games and large cardinals. Separating the metamathematical issues into an optional fourth part at the end makes this textbook suitable for students interested in any field of mathematics, not just for those planning to specialize in logic or foundations. There is enough material in the text for a year-long course at the upper-undergraduate level. For shorter one-semester or one-quarter courses, a variety of arrangements of topics are possible. The book will be a useful resource for both experts working in a relevant or adjacent area and beginners wanting to learn set theory via self-study.
Author | : Patrick Suppes |
Publisher | : Courier Corporation |
Total Pages | : 290 |
Release | : 2012-05-04 |
Genre | : Mathematics |
ISBN | : 0486136876 |
Download Axiomatic Set Theory Book in PDF, Epub and Kindle
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 |
Publisher | : Pergamon |
Total Pages | : 374 |
Release | : 1967 |
Genre | : Mathematics |
ISBN | : |
Download Elements of Mathematical Logic and Set Theory Book in PDF, Epub and Kindle