This introduction to modern set theory covers the aspects of its two main general areas: classical set theory including large cardinals, infinitary combinatorics, descriptive set theory; and independence proofs starting with Goedel's proof around 1938 followed by Cohen's proof in 1963, whereby Cohen's method of forcing probably had a greater influence on mathematics. The author's primary emphasis is on forcing and large cardinals, but there is a discussion of descriptive set theory and infinitary combinatorics as well.
"synopsis" may belong to another edition of this title.
Set Theory has experienced a rapid development in recent years, with major advances in forcing, inner models, large cardinals and descriptive set theory. The present book covers each of these areas, giving the reader an understanding of the ideas involved. It can be used for introductory students and is broad and deep enough to bring the reader near the boundaries of current research. Students and researchers in the field will find the book invaluable both as a study material and as a desktop reference.Product Description:
This monograph covers the recent major advances in various areas of set theory.
From the reviews:
"One of the classical textbooks and reference books in set theory....The present ‘Third Millennium’ edition...is a whole new book. In three parts the author offers us what in his view every young set theorist should learn and master....This well-written book promises to influence the next generation of set theorists, much as its predecessor has done." --MATHEMATICAL REVIEWS
"About this title" may belong to another edition of this title.
Book Description Academic Press, 1978. Hardcover. Book Condition: New. Bookseller Inventory # P110123819504
Book Description Academic Press, 1978. Hardcover. Book Condition: New. Bookseller Inventory # DADAX0123819504