Set Theory And Related Topics
Download Set Theory And Related Topics full books in PDF, epub, and Kindle. Read online free Set Theory And Related Topics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Problems and Theorems in Classical Set Theory
Author | : Peter Komjath |
Publisher | : Springer Science & Business Media |
Total Pages | : 492 |
Release | : 2006-11-22 |
Genre | : Mathematics |
ISBN | : 0387362193 |
This volume contains a variety of problems from classical set theory and represents the first comprehensive collection of such problems. Many of these problems are also related to other fields of mathematics, including algebra, combinatorics, topology and real analysis. Rather than using drill exercises, most problems are challenging and require work, wit, and inspiration. They vary in difficulty, and are organized in such a way that earlier problems help in the solution of later ones. For many of the problems, the authors also trace the history of the problems and then provide proper reference at the end of the solution.
A Book of Set Theory
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"--
Topics in Set Theory
Author | : Mohamed Bekkali |
Publisher | : Springer |
Total Pages | : 128 |
Release | : 1991-07-10 |
Genre | : Mathematics |
ISBN | : 9783540541219 |
During the Fall Semester of 1987, Stevo Todorcevic gave a series of lectures at the University of Colorado. These notes of the course, taken by the author, give a novel and fast exposition of four chapters of Set Theory. The first two chapters are about the connection between large cardinals and Lebesque measure. The third is on forcing axioms such as Martin's axiom or the Proper Forcing Axiom. The fourth chapter looks at the method of minimal walks and p-functions and their applications. The book is addressed to researchers and graduate students interested in Set Theory, Set-Theoretic Topology and Measure Theory.
The Higher Infinite
Author | : Akihiro Kanamori |
Publisher | : Springer Science & Business Media |
Total Pages | : 555 |
Release | : 2008-11-23 |
Genre | : Mathematics |
ISBN | : 3540888675 |
Over the years, this book has become a standard reference and guide in the set theory community. It provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research, with open questions and speculations throughout.
Problems in Set Theory, Mathematical Logic and the Theory of Algorithms
Author | : Igor Lavrov |
Publisher | : Springer Science & Business Media |
Total Pages | : 288 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461501857 |
Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by I. Lavrov & L. Maksimova is an English translation of the fourth edition of the most popular student problem book in mathematical logic in Russian. It covers major classical topics in proof theory and the semantics of propositional and predicate logic as well as set theory and computation theory. Each chapter begins with 1-2 pages of terminology and definitions that make the book self-contained. Solutions are provided. The book is likely to become an essential part of curricula in logic.
Abelian Group Theory and Related Topics
Author | : Rüdiger Göbel |
Publisher | : American Mathematical Soc. |
Total Pages | : 450 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 0821851780 |
This volume contains the proceedings of a conference on abelian groups held in August 1993 at Oberwolfach. The conference brought together forty-seven participants from all over the world and from a range of mathematical areas. Experts from model theory, set theory, noncommutative groups, module theory, and computer science discussed problems in their fields that relate to abelian group theory. This book provides a window on the frontier of this active area of research.
Localization in Group Theory and Homotopy Theory and Related Topics
Author | : P.J. Hilton |
Publisher | : Springer |
Total Pages | : 178 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540372687 |
An Outline of Set Theory
Author | : James M. Henle |
Publisher | : Springer Science & Business Media |
Total Pages | : 137 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461386802 |
This book is designed for use in a one semester problem-oriented course in undergraduate set theory. The combination of level and format is somewhat unusual and deserves an explanation. Normally, problem courses are offered to graduate students or selected undergraduates. I have found, however, that the experience is equally valuable to ordinary mathematics majors. I use a recent modification of R. L. Moore's famous method developed in recent years by D. W. Cohen [1]. Briefly, in this new approach, projects are assigned to groups of students each week. With all the necessary assistance from the instructor, the groups complete their projects, carefully write a short paper for their classmates, and then, in the single weekly class meeting, lecture on their results. While the em phasis is on the student, the instructor is available at every stage to assure success in the research, to explain and critique mathematical prose, and to coach the groups in clear mathematical presentation. The subject matter of set theory is peculiarly appropriate to this style of course. For much of the book the objects of study are familiar and while the theorems are significant and often deep, it is the methods and ideas that are most important. The necessity of rea soning about numbers and sets forces students to come to grips with the nature of proof, logic, and mathematics. In their research they experience the same dilemmas and uncertainties that faced the pio neers.