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Fundamental Theorems Concerning Point Sets Etc
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Author :Yiannis Moschovakis Publisher :Springer Science & Business Media ISBN 13 :9780387941806 Total Pages :296 pages Book Rating :4.9/5 (418 download)
Book Synopsis Notes on Set Theory by : Yiannis Moschovakis
Download or read book Notes on Set Theory written by Yiannis Moschovakis and published by Springer Science & Business Media. This book was released on 1994-02-18 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: What this book is about. The theory of sets is a vibrant, exciting math ematical theory, with its own basic notions, fundamental results and deep open problems, and with significant applications to other mathematical theories. At the same time, axiomatic set theory is often viewed as a foun dation ofmathematics: it is alleged that all mathematical objects are sets, and their properties can be derived from the relatively few and elegant axioms about sets. Nothing so simple-minded can be quite true, but there is little doubt that in standard, current mathematical practice, "making a notion precise" is essentially synonymous with "defining it in set theory. " Set theory is the official language of mathematics, just as mathematics is the official language of science. Like most authors of elementary, introductory books about sets, I have tried to do justice to both aspects of the subject. From straight set theory, these Notes cover the basic facts about "ab stract sets," including the Axiom of Choice, transfinite recursion, and car dinal and ordinal numbers. Somewhat less common is the inclusion of a chapter on "pointsets" which focuses on results of interest to analysts and introduces the reader to the Continuum Problem, central to set theory from the very beginning.
Book Synopsis A Book of Set Theory by : Charles C Pinter
Download or read book A Book of Set Theory written by Charles C Pinter and published by Courier Corporation. This book was released on 2014-07-23 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--
Book Synopsis Lectures on the Theory of Functions of Real Variables: Point sets and proper integrals by : James Pierpont
Download or read book Lectures on the Theory of Functions of Real Variables: Point sets and proper integrals written by James Pierpont and published by . This book was released on 1912 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cantorian Set Theory and Limitation of Size by : Michael Hallett
Download or read book Cantorian Set Theory and Limitation of Size written by Michael Hallett and published by Oxford University Press. This book was released on 1986 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity. The philosophical and heuristic framework he developed had a lasting effect on modern mathematics, and is the recurrent theme of this volume. Hallett explores Cantor's ideas and, in particular, their ramifications for Zermelo-Frankel set theory.
Book Synopsis Encyclopedia of General Topology by : K.P. Hart
Download or read book Encyclopedia of General Topology written by K.P. Hart and published by Elsevier. This book was released on 2003-11-18 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. However, this book contains very few proofs and the reader who wants to study more systematically will find sufficiently many references in the book.Key features:• More terms from General Topology than any other book ever published• Short and informative articles• Authors include the majority of top researchers in the field• Extensive indexing of terms
Book Synopsis Proceedings by : Nihon Sūgaku Butsuri Gakkai
Download or read book Proceedings written by Nihon Sūgaku Butsuri Gakkai and published by . This book was released on 1926 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Convexity from the Geometric Point of View by : Vitor Balestro
Download or read book Convexity from the Geometric Point of View written by Vitor Balestro and published by Springer Nature. This book was released on with total page 1195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Axiom of Choice by : Thomas J. Jech
Download or read book The Axiom of Choice written by Thomas J. Jech and published by Courier Corporation. This book was released on 2008-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and self-contained text examines the axiom's relative strengths and consequences, including its consistency and independence, relation to permutation models, and examples and counterexamples of its use. 1973 edition.
Book Synopsis American Journal of Mathematics Pure and Applied by :
Download or read book American Journal of Mathematics Pure and Applied written by and published by . This book was released on 1926 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis American Journal of Mathematics by :
Download or read book American Journal of Mathematics written by and published by . This book was released on 1916 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.
Book Synopsis Handbook of the History of General Topology by : C.E. Aull
Download or read book Handbook of the History of General Topology written by C.E. Aull and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.
Book Synopsis Nippon Sūgaku-Butarigakkwai Kizi by :
Download or read book Nippon Sūgaku-Butarigakkwai Kizi written by and published by . This book was released on 1924 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Natural Computing for Unsupervised Learning by : Xiangtao Li
Download or read book Natural Computing for Unsupervised Learning written by Xiangtao Li and published by Springer. This book was released on 2018-10-31 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights recent research advances in unsupervised learning using natural computing techniques such as artificial neural networks, evolutionary algorithms, swarm intelligence, artificial immune systems, artificial life, quantum computing, DNA computing, and others. The book also includes information on the use of natural computing techniques for unsupervised learning tasks. It features several trending topics, such as big data scalability, wireless network analysis, engineering optimization, social media, and complex network analytics. It shows how these applications have triggered a number of new natural computing techniques to improve the performance of unsupervised learning methods. With this book, the readers can easily capture new advances in this area with systematic understanding of the scope in depth. Readers can rapidly explore new methods and new applications at the junction between natural computing and unsupervised learning. Includes advances on unsupervised learning using natural computing techniques Reports on topics in emerging areas such as evolutionary multi-objective unsupervised learning Features natural computing techniques such as evolutionary multi-objective algorithms and many-objective swarm intelligence algorithms
Book Synopsis New Challenges for Intelligent Information and Database Systems by : Ngoc-Thanh Nguyen
Download or read book New Challenges for Intelligent Information and Database Systems written by Ngoc-Thanh Nguyen and published by Springer. This book was released on 2011-03-17 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of 35 extended chapters which have been based on selected submissions to the poster session organized during the 3rd Asian Conference on Intelligent Information and Database Systems (20-22 April 2011 in Daegu, Korea). The book is organized into four parts, which are information retrieval and management, data mining and computational intelligence, service composition and user-centered approach, and intelligent management and e-business, respectively. All chapters in the book discuss theoretical and practical issues related to integration of artificial intelligence and database technologies in order to develop various intelligent information systems in many different domains. Such combination of artificial intelligence and database technologies has been regarded as one of the important interdisciplinary subfields of modern computer science, due to the sustainable development of networked information systems. Especially, service-oriented architecture and global multimedia systems used on a number of different purpose call for these developments. The book will be of interest to postgraduate students, professors and practitioners in the areas of artificial intelligence and database systems to modern information environments. The editors hope that readers of this volume can find many inspiring ideas and influential practical examples and use them in their future work.
Book Synopsis Algebraic Topology from a Homotopical Viewpoint by : Marcelo Aguilar
Download or read book Algebraic Topology from a Homotopical Viewpoint written by Marcelo Aguilar and published by Springer Science & Business Media. This book was released on 2008-02-02 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present introductory material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This carefully written book can be read by any student who knows some topology, providing a useful method to quickly learn this novel homotopy-theoretic point of view of algebraic topology.
Book Synopsis Integral Equations: A Practical Treatment, from Spectral Theory to Applications by : David Porter
Download or read book Integral Equations: A Practical Treatment, from Spectral Theory to Applications written by David Porter and published by Cambridge University Press. This book was released on 1990-09-28 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a rigorous and practical treatment of integral equations. These are significant because they occur in many problems in mathematics, physics and engineering and they offer a powerful (sometimes the only) technique for solving these problems. The book aims to tackle the solution of integral equations using a blend of abstract 'structural' results and more direct, down-to-earth mathematics. The interplay between these two approaches is a central feature of the text and it allows a thorough account to be given of many of the types of integral equation which arise in application areas. Since it is not always possible to find explicit solutions of the problems posed, much attention is devoted to obtaining qualitative information and approximations to the solutions, with the associated error estimates. This treatment is intended for final year mathematics undergraduates, postgraduates and research workers in application areas such as numerical analysis and fluid mechanics.
Download or read book The Americana written by and published by . This book was released on 1911 with total page 906 pages. Available in PDF, EPUB and Kindle. Book excerpt:
