Introduction to Set Theory and Topology is popular PDF and ePub book, written by Kazimierz Kuratowski in 2014-07-10, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Introduction to Set Theory and Topology can be Read Online from any device for your convenience.
Introduction to Set Theory and Topology Book PDF Summary
Introduction to Set Theory and Topology describes the fundamental concepts of set theory and topology as well as its applicability to analysis, geometry, and other branches of mathematics, including algebra and probability theory. Concepts such as inverse limit, lattice, ideal, filter, commutative diagram, quotient-spaces, completely regular spaces, quasicomponents, and cartesian products of topological spaces are considered. This volume consists of 21 chapters organized into two sections and begins with an introduction to set theory, with emphasis on the propositional calculus and its application to propositions each having one of two logical values, 0 and 1. Operations on sets which are analogous to arithmetic operations are also discussed. The chapters that follow focus on the mapping concept, the power of a set, operations on cardinal numbers, order relations, and well ordering. The section on topology explores metric and topological spaces, continuous mappings, cartesian products, and other spaces such as spaces with a countable base, complete spaces, compact spaces, and connected spaces. The concept of dimension, simplexes and their properties, and cuttings of the plane are also analyzed. This book is intended for students and teachers of mathematics.
Detail Book of Introduction to Set Theory and Topology PDF
- Author : Kazimierz Kuratowski
- Release : 10 July 2014
- Publisher : Elsevier
- ISBN : 9781483151632
- Genre : Mathematics
- Total Page : 353 pages
- Language : English
- PDF File Size : 9,5 Mb
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