Set Theory and the Continuum Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Set Theory and the Continuum Problem write by Raymond M. Smullyan. This book was released on 2010. Set Theory and the Continuum Problem available in PDF, EPUB and Kindle. A lucid, elegant, and complete survey of set theory, this three-part treatment explores axiomatic set theory, the consistency of the continuum hypothesis, and forcing and independence results. 1996 edition.
Set Theory and the Continuum Hypothesis
Set Theory and the Continuum Hypothesis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Set Theory and the Continuum Hypothesis write by Paul J. Cohen. This book was released on 2008-12-09. Set Theory and the Continuum Hypothesis available 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.
Set Theory and the Continuum Problem
Set Theory and the Continuum Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Set Theory and the Continuum Problem write by Raymond M. Smullyan. This book was released on 1996. Set Theory and the Continuum Problem available in PDF, EPUB and Kindle. Set Theory and the Continuum Problem is a novel introduction to set theory, including axiomatic development, consistency, and independence results. It is self-contained and covers all the set theory that a mathematician should know. Part I introduces set theory, including basic axioms, development of the natural number system, Zorn's Lemma and other maximal principles. Part II proves the consistency of the continuum hypothesis and the axiom of choice, with material on collapsing mappings, model-theoretic results, and constructible sets. Part III presents a version of Cohen's proofs of the independence of the continuum hypothesis and the axiom of choice. It also presents, for the first time in a textbook, the double induction and superinduction principles, and Cowen's theorem. The book will interest students and researchers in logic and set theory.
Set Theory and its Philosophy
Set Theory and its Philosophy - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Set Theory and its Philosophy write by Michael Potter. This book was released on 2004-01-15. Set Theory and its Philosophy available in PDF, EPUB and Kindle. Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.
An Introduction to Homological Algebra
An Introduction to Homological Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Homological Algebra write by Charles A. Weibel. This book was released on 1995-10-27. An Introduction to Homological Algebra available in PDF, EPUB and Kindle. The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these tools more accessible, the book helps to break down the technological barrier between experts and casual users of homological algebra.
