Peter Komjath, Vilmos Totik

eBook, PDF

Problems and Theorems in Classical Set Theory (eBook, PDF)

Beschreibung

This is the first comprehensive collection of problems in set theory. But 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. This is destined to become a classic, and will be an important resource for students and researchers. It follows a tradition of Hungarian mathematics started with Pólya-Szegõ's problem book in analysis and continued with Lovász' problem book in combinatorics.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 3.84MB

Barrierefreiheit

• Text-to-Speech

Autor

Peter Komjath, Eotvos Lorand University, Budapest, Hungary / Vilmos Totik, University of South Florida,Tampa, FL, USA

Produktdetails

• Verlag: Springer US
• Seitenzahl: 516
• Erscheinungstermin: 22. November 2006
• Englisch
• ISBN-13: 9780387362199
• Artikelnr.: 43731614

Rezensionen

From the reviews: "The volume contains 1007 problems in (mostly combinatorial) set theory. As indicated by the authors, "most of classical set theory is covered, classical in the sense that independence methods are not used, but classical also in the sense that most results come from the period, say, 1920--1970. Many problems are also related to other fields of mathematics such as algebra, combinatorics, topology and real analysis." And indeed the topics covered include applications of Zorn's lemma, Euclidean spaces, Hamel bases, the Banach-Tarski paradox and the measure problem. The statement of the problems, which are distributed among 31 chapters, takes 132 pages, and the (fairly detailed) solutions (together with some references)

another 357 pages. Some problems are elementary but most of them are challenging. For example, in Chapter 29 the reader is asked in Problem 1 to show that $[\lambda]^{