Set Theory is popular PDF and ePub book, written by Felix Hausdorff in 2005, 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, Set Theory can be Read Online from any device for your convenience.
Set Theory Book PDF Summary
In the early twentieth century, Hausdorff developed an axiomatic approach to topology, which continues to be the foundation of modern topology. The present book, the English translation of the third edition of Hausdorff's Mengenlehre, is a thorough introduction to his theory of point-set topology. The treatment begins with topics in the foundations of mathematics, including the basics of abstract set theory, sums and products of sets, cardinal and ordinal numbers, and Hausdorff's well-ordering theorem. The exposition then specializes to point sets, where major topics such as Borel systems, first and second category, and connectedness are considered in detail. Next, mappings between spaces are introduced. This leads naturally to a discussion of topological spaces and continuous mappings between them. Finally, the theory is applied to the study of real functions and their properties. The book does not presuppose any mathematical knowledge beyond calculus, but it does require a certain maturity in abstract reasoning; qualified college seniors and first-year graduate students should have no difficulty in making the material their own.
Detail Book of Set Theory PDF
- Author : Felix Hausdorff
- Release : 20 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 0821838350
- Genre : Mathematics
- Total Page : 358 pages
- Language : English
- PDF File Size : 7,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Set Theory by Felix Hausdorff, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.