Abstract Set Theory PDF Download
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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 | : Abraham Adolf Fraenkel |
Publisher | : North-Holland |
Total Pages | : 298 |
Release | : 1976 |
Genre | : Mathematics |
ISBN | : |
Download Abstract Set Theory Book in PDF, ePub and Kindle
Author | : Daniel W. Cunningham |
Publisher | : Cambridge University Press |
Total Pages | : 265 |
Release | : 2016-07-18 |
Genre | : Mathematics |
ISBN | : 1107120322 |
Download Set Theory Book in PDF, ePub and Kindle
Set theory can be considered a unifying theory for mathematics. This book covers the fundamentals of the subject.
Author | : D.C. Goldrei |
Publisher | : Routledge |
Total Pages | : 296 |
Release | : 2017-09-06 |
Genre | : Mathematics |
ISBN | : 1351460617 |
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 | : A.A. Fraenkel |
Publisher | : Elsevier |
Total Pages | : 415 |
Release | : 1973-12-01 |
Genre | : Computers |
ISBN | : 0080887058 |
Download Foundations of Set Theory Book in PDF, ePub and Kindle
Foundations of Set Theory discusses the reconstruction undergone by set theory in the hands of Brouwer, Russell, and Zermelo. Only in the axiomatic foundations, however, have there been such extensive, almost revolutionary, developments. This book tries to avoid a detailed discussion of those topics which would have required heavy technical machinery, while describing the major results obtained in their treatment if these results could be stated in relatively non-technical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction of set theory as it was known before. It then moves to the axiomatic foundations of set theory, including a discussion of the basic notions of equality and extensionality and axioms of comprehension and infinity. The next chapters discuss type-theoretical approaches, including the ideal calculus, the theory of types, and Quine's mathematical logic and new foundations; intuitionistic conceptions of mathematics and its constructive character; and metamathematical and semantical approaches, such as the Hilbert program. This book will be of interest to mathematicians, logicians, and statisticians.
Author | : Norman T. Hamilton |
Publisher | : Courier Dover Publications |
Total Pages | : 288 |
Release | : 2018-05-16 |
Genre | : Mathematics |
ISBN | : 0486830470 |
Download Set Theory: The Structure of Arithmetic Book in PDF, ePub and Kindle
This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. 1961 edition.
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 | : Th (Thoralf) 1887-1963 Skolem |
Publisher | : Hassell Street Press |
Total Pages | : 88 |
Release | : 2021-09-09 |
Genre | : |
ISBN | : 9781014083531 |
Download Abstract Set Theory; 8 Book in PDF, ePub and Kindle
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author | : Willard Van Orman Quine |
Publisher | : Harvard University Press |
Total Pages | : 384 |
Release | : 1969 |
Genre | : Mathematics |
ISBN | : 9780674802070 |
Download Set Theory and Its Logic Book in PDF, ePub and Kindle
This is an extensively revised edition of W. V. Quine’s introduction to abstract set theory and to various axiomatic systematizations of the subject. The treatment of ordinal numbers has been strengthened and much simplified, especially in the theory of transfinite recursions, by adding an axiom and reworking the proofs. Infinite cardinals are treated anew in clearer and fuller terms than before. Improvements have been made all through the book; in various instances a proof has been shortened, a theorem strengthened, a space-saving lemma inserted, an obscurity clarified, an error corrected, a historical omission supplied, or a new event noted.
Author | : Thomas Judson |
Publisher | : Orthogonal Publishing L3c |
Total Pages | : 0 |
Release | : 2023-08-11 |
Genre | : |
ISBN | : 9781944325190 |
Download Abstract Algebra Book in PDF, ePub and Kindle
Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.