The Theory Of Sets Of Points Classic Reprint
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Author | : W. H. Young |
Publisher | : Forgotten Books |
Total Pages | : 332 |
Release | : 2017-11-20 |
Genre | : Mathematics |
ISBN | : 9780331514162 |
Excerpt from The Theory of Sets of Points The difficulties in arrangement which this fact, suggests have been enhanced by the nature of the subject itself and by the tentative character of some of its results. The writing of the book has necessarily involved attempts to extend the frontier of existing knowledge, and to fill in gaps which broke the connexion between isolated parts of the subject. The' references in the text which do not give the name of the author always refer to my own papers; in this connexion, however, I should like to out that the citations in the text are not to be regarded any means complete, and are supplemented by the list of literature at the end of the volume. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author | : D.C. Goldrei |
Publisher | : Routledge |
Total Pages | : 300 |
Release | : 2017-09-06 |
Genre | : Mathematics |
ISBN | : 1351460609 |
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 | : W. H. YOUNG |
Publisher | : |
Total Pages | : 0 |
Release | : 2018 |
Genre | : |
ISBN | : 9781033710258 |
Author | : W. H. Young |
Publisher | : American Mathematical Soc. |
Total Pages | : 346 |
Release | : 2013-09-30 |
Genre | : Mathematics |
ISBN | : 1470409623 |
From the Preface to the first edition (1906): "A few of the most modern books on the Theory of Functions devote some pages to the establishment of certain results belonging to our subject, and required for the special purposes in hand... But we may fairly claim that the present work is the first attempt at a systematic exposition of the subject as a whole."
Author | : Charles C Pinter |
Publisher | : Courier Corporation |
Total Pages | : 259 |
Release | : 2014-07-23 |
Genre | : Mathematics |
ISBN | : 0486497089 |
"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 | : 296 |
Release | : 2017-09-06 |
Genre | : Mathematics |
ISBN | : 1351460617 |
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 | : Alexander Kechris |
Publisher | : Springer Science & Business Media |
Total Pages | : 419 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461241901 |
Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text presents a largely balanced approach to the subject, which combines many elements of the different traditions. It includes a wide variety of examples, more than 400 exercises, and applications, in order to illustrate the general concepts and results of the theory.
Author | : Henrik Ibsen |
Publisher | : Ardent Media |
Total Pages | : 468 |
Release | : 2017-05-23 |
Genre | : Literary Collections |
ISBN | : |
Excerpt from The Correspondence of Henrik Ibsen ON the 3lst of May 1880, Henrik Ibsen wrote to his publisher, Frederik Hegel, that he had begun a little book in which he intended to give some account of the outward and inward conditions under which each one of his works had come into being (letter It was to be called From Simian, to Rome, and was to give descriptions of his life at Skien and Grimstad, Bergen and Christiania, Dresden, Munich, and Rome. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author | : Robert Lee Moore |
Publisher | : American Mathematical Soc. |
Total Pages | : 434 |
Release | : 1932-12-31 |
Genre | : Mathematics |
ISBN | : 0821810138 |
Author | : W. H. 1863-1942 Young |
Publisher | : Nabu Press |
Total Pages | : 330 |
Release | : 2014-02 |
Genre | : |
ISBN | : 9781295711147 |
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.