Set Theory For The Working Mathematician PDF Download
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Author | : Krzysztof Ciesielski |
Publisher | : Cambridge University Press |
Total Pages | : 256 |
Release | : 1997-08-28 |
Genre | : Mathematics |
ISBN | : 9780521594653 |
Download Set Theory for the Working Mathematician Book in PDF, ePub and Kindle
Presents those methods of modern set theory most applicable to other areas of pure mathematics.
Author | : Saunders Mac Lane |
Publisher | : Springer Science & Business Media |
Total Pages | : 320 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 1475747217 |
Download Categories for the Working Mathematician Book in PDF, ePub and Kindle
An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.
Author | : Paul J. Cohen |
Publisher | : Courier Corporation |
Total Pages | : 196 |
Release | : 2008-12-09 |
Genre | : Mathematics |
ISBN | : 0486469212 |
Download Set Theory and the Continuum Hypothesis Book in PDF, ePub and Kindle
This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an award-winning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a self-contained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994.
Author | : |
Publisher | : Univalent Foundations |
Total Pages | : 484 |
Release | : |
Genre | : |
ISBN | : |
Download Homotopy Type Theory: Univalent Foundations of Mathematics Book in PDF, ePub and Kindle
Author | : Winfried Just |
Publisher | : American Mathematical Soc. |
Total Pages | : 230 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 0821802666 |
Download Discovering Modern Set Theory. I: The Basics Book in PDF, ePub and Kindle
This book bridges the gap between the many elementary introductions to set theory that are available today and the more advanced, specialized monographs. The authors have taken great care to motivate concepts as they are introduced. The large number of exercises included make this book especially suitable for self-study. Students are guided towards their own discoveries in a lighthearted, yet rigorous manner.
Author | : Joseph Breuer |
Publisher | : Courier Corporation |
Total Pages | : 130 |
Release | : 2012-08-09 |
Genre | : Mathematics |
ISBN | : 0486154874 |
Download Introduction to the Theory of Sets Book in PDF, ePub and Kindle
This undergraduate text develops its subject through observations of the physical world, covering finite sets, cardinal numbers, infinite cardinals, and ordinals. Includes exercises with answers. 1958 edition.
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 | : Peter Komjath |
Publisher | : Springer Science & Business Media |
Total Pages | : 492 |
Release | : 2006-11-22 |
Genre | : Mathematics |
ISBN | : 0387362193 |
Download Problems and Theorems in Classical Set Theory Book in PDF, ePub and Kindle
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.
Author | : Stephen Pollard |
Publisher | : Courier Dover Publications |
Total Pages | : 196 |
Release | : 2015-07-15 |
Genre | : Mathematics |
ISBN | : 0486797147 |
Download Philosophical Introduction to Set Theory Book in PDF, ePub and Kindle
This unique approach maintains that set theory is the primary mechanism for ideological and theoretical unification in modern mathematics, and its technically informed discussion covers a variety of philosophical issues. 1990 edition.
Author | : Abraham Adolf Fraenkel |
Publisher | : |
Total Pages | : 297 |
Release | : 1968 |
Genre | : |
ISBN | : |
Download Abstract Set Theory Book in PDF, ePub and Kindle