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Author : John Elliott Doner
Publisher :
ISBN 13 :
Total Pages : 646 pages
Book Rating : 4.:/5 (29 download)
Download or read book An Extended Arithmetic of Ordinal Numbers and Its Metamathematics written by John Elliott Doner and published by . This book was released on 1969 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Doner
Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.:/5 (254 download)
Download or read book An Extended Arithmetic of Ordinal Numbers written by John Doner and published by . This book was released on 1967 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Doner
Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.F/5 ( download)
Download or read book Definability in the Extended Arithmetic of Ordinal Numbers written by John Doner and published by . This book was released on 1972 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Pelczar
Publisher :
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (115 download)
Download or read book Definability in the Extended Arithmetic of Ordinal Numbers written by A. Pelczar and published by . This book was released on 1972 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Franz Baader
Publisher : Springer
ISBN 13 : 3540322752
Total Pages : 572 pages
Book Rating : 4.5/5 (43 download)
Download or read book Logic for Programming, Artificial Intelligence, and Reasoning written by Franz Baader and published by Springer. This book was released on 2005-02-09 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2004, held in Montevideo, Uruguay in March 2005. The 33 revised full papers presented together with abstracts of 4 invited papers were carefully reviewed and selected from 77 submissions. The papers address all current issues in logic programming, automated reasoning, and AI logics in particular description logics, fuzzy logic, linear logic, multi-modal logic, proof theory, formal verification, protocol verification, constraint logic programming, programming calculi, theorem proving, etc.
Author : Yaroslav D. Sergeyev
Publisher : Springer Nature
ISBN 13 : 3030390810
Total Pages : 634 pages
Book Rating : 4.0/5 (33 download)
Download or read book Numerical Computations: Theory and Algorithms written by Yaroslav D. Sergeyev and published by Springer Nature. This book was released on 2020-02-13 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 11973 and 11974 constitute revised selected papers from the Third International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2019, held in Crotone, Italy, in June 2019. This volume, LNCS 11973, consists of 34 full and 18 short papers chosen among papers presented at special streams and sessions of the Conference. The papers in part I were organized following the topics of these special sessions: approximation: methods, algorithms, and applications; computational methods for data analysis; first order methods in optimization: theory and applications; high performance computing in modelling and simulation; numbers, algorithms, and applications; optimization and management of water supply.
Author :
Publisher : Academic Press
ISBN 13 : 0080874142
Total Pages : 507 pages
Book Rating : 4.0/5 (88 download)
Download or read book Linear Orderings written by and published by Academic Press. This book was released on 1982-06-01 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Orderings
Author : Orval M. Klose
Publisher : Elsevier
ISBN 13 : 1483137090
Total Pages : 280 pages
Book Rating : 4.4/5 (831 download)
Download or read book The Number Systems and Operations of Arithmetic written by Orval M. Klose and published by Elsevier. This book was released on 2014-05-16 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Number Systems and Operations of Arithmetic was written for the single purpose of explaining to elementary school teachers (both in-service and in-training) the nature of those basic principles of mathematics which form the foundations and structural framework of arithmetic, and how the familiar formal algorithms of arithmetic stem from these structural principles. The book is organized into two parts. Part I on number systems covers the origin of numerical thinking; natural operations with the natural numbers; natural laws for the natural operations; the inverse operations and convergence and the number systems generated by these operations; and classification of the number systems as abstract systems. Part II on computational algorithms discusses computations with natural numbers, rational numbers, real numbers, and complex numbers. The ""answers"" to all the exercises are also provided in the main body of the text and it is hoped that the student will form the habit of looking there for them.
Author : John Harrison
Publisher : Cambridge University Press
ISBN 13 : 113947927X
Total Pages : 683 pages
Book Rating : 4.1/5 (394 download)
Download or read book Handbook of Practical Logic and Automated Reasoning written by John Harrison and published by Cambridge University Press. This book was released on 2009-03-12 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sheer complexity of computer systems has meant that automated reasoning, i.e. the ability of computers to perform logical inference, has become a vital component of program construction and of programming language design. This book meets the demand for a self-contained and broad-based account of the concepts, the machinery and the use of automated reasoning. The mathematical logic foundations are described in conjunction with practical application, all with the minimum of prerequisites. The approach is constructive, concrete and algorithmic: a key feature is that methods are described with reference to actual implementations (for which code is supplied) that readers can use, modify and experiment with. This book is ideally suited for those seeking a one-stop source for the general area of automated reasoning. It can be used as a reference, or as a place to learn the fundamentals, either in conjunction with advanced courses or for self study.
Author : Bertrand Russell
Publisher : Routledge
ISBN 13 : 1317341783
Total Pages : 1067 pages
Book Rating : 4.3/5 (173 download)
Download or read book The Collected Papers of Bertrand Russell, Volume 5 written by Bertrand Russell and published by Routledge. This book was released on 2015-07-17 with total page 1067 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of Bertrand Russell's Collected Papers finds Russell focused on writing Principia Mathematica during 1905–08. Eight previously unpublished papers shed light on his different versions of a substitutional theory of logic, with its elimination of classes and relations, during 1905-06. A recurring issue for him was whether a type hierarchy had to be part of a substitutional theory. In mid-1907 he began writing up the final version of Principia, now using a ramified theory of types, and eleven unpublished drafts from 1907-08 deal with this. Numerous letters show his thoughts on the process. The volume's 80-page introduction covers the evolution of his logic from 1896 until 1909, when volume I of Principia went to the printer.
Author : George Grätzer
Publisher : Springer Science & Business Media
ISBN 13 : 0387774874
Total Pages : 601 pages
Book Rating : 4.3/5 (877 download)
Download or read book Universal Algebra written by George Grätzer and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: Universal Algebra has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices (with contributions from B. Jónsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well selected additional bibliography of over 1250 papers and books which makes this an indispensable new edition for students, faculty, and workers in the field.
Author : J.S. Oliveira
Publisher : Springer Science & Business Media
ISBN 13 : 9780817631147
Total Pages : 648 pages
Book Rating : 4.6/5 (311 download)
Download or read book Selected Papers on Algebra and Topology by Garrett Birkhoff written by J.S. Oliveira and published by Springer Science & Business Media. This book was released on 1987-01-01 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume of reprints are what I consider to be my most interesting and influential papers on algebra and topology. To tie them together, and to place them in context, I have supplemented them by a series of brief essays sketching their historieal background (as I see it). In addition to these I have listed some subsequent papers by others which have further developed some of my key ideas. The papers on universal algebra, lattice theory, and general topology collected in the present volume concern ideas which have become familiar to all working mathematicians. It may be helpful to make them readily accessible in one volume. I have tried in the introduction to each part to state the most significant features of ea ch paper reprinted there, and to indieate later developments. The background that shaped and stimulated my early work on universal algebra, lattice theory, and topology may be of some interest. As a Harvard undergraduate in 1928-32, I was encouraged to do independent reading and to write an original thesis. My tutorial reading included de la Vallee-Poussin's beautiful Cours d'Analyse Infinitesimale, Hausdorff's Grundzüge der Mengenlehre, and Frechet's Espaces Abstraits. In addition, I discovered Caratheodory's 1912 paper "Vber das lineare Mass von Punktmengen" and Hausdorff's 1919 paper on "Dimension und Ausseres Mass," and derived much inspiration from them. A fragment of my thesis, analyzing axiom systems for separable metrizable spaces, was later published [2]. * This background led to the work summarized in Part IV.
Author : Yaroslav D. Sergeyev
Publisher : Yaroslav D. Sergeyev
ISBN 13 : 8889064013
Total Pages : 112 pages
Book Rating : 4.8/5 (89 download)
Download or read book Arithmetic of infinity written by Yaroslav D. Sergeyev and published by Yaroslav D. Sergeyev. This book was released on 2016-05-13 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first chapter of the book gives a brief description of the modern viewpoint on real numbers and presents the famous results of Georg Cantor regarding infinity. The second chapter has a preparative character and links the first and the third parts of the book. On the one hand, it shows that the commonly accepted point of view on numbers and infinity is not so clear as it seems at first sight (for example, it leads to numerous paradoxes). On the other hand, the chapter contains preliminary observations that will be used in the constructive introduction of a new arithmetic of infinity, given in the third chapter. This last part of the book contains the main results. It introduces notions of infinite and infinitesimal numbers, extended natural and real numbers, and operations with them. Surprisingly, the introduced arithmetical operations result in being very simple and are obtained as immediate extensions of the usual addition, multiplication, and division of finite numbers to infinite ones. This simplicity is a consequence of a newly developed positional numeral system used to express infinite numbers. Finally, the chapter contains solutions to a number of paradoxes regarding infinity (we can say that the new approach allows us to avoid paradoxes) and some examples of applications. In order to broaden the audience, the book was written as a popular one. The interested reader can find a number of technical articles of several researches that use the approach introduced here for solving a variety of research problems at the web page of the author. The author Yaroslav D. Sergeyev is Distinguished Professor and Head of Numerical Calculus Laboratory at the University of Calabria, Italy. He is also Professor (part-time contract) at Lobachevsky Nizhni Novgorod State University, Russia. His research interests include numerical analysis, global optimization, infinity computing, set theory, number theory, fractals, and parallel computing. He has been awarded several national and international prizes (Pythagoras International Prize in Mathematics, Italy; Lagrange Lecture, Turin University, Italy; MAIK Prize for the best scientific monograph published in Russian, Moscow, etc.). His list of scientific publications contains more than 200 items. He is a member of editorial boards of 5 international journals and has given more than 50 plenary and keynote lectures at prestigious international congresses.
Author : Leon Henkin
Publisher : American Mathematical Soc.
ISBN 13 : 0821814257
Total Pages : 522 pages
Book Rating : 4.8/5 (218 download)
Download or read book Proceedings written by Leon Henkin and published by American Mathematical Soc.. This book was released on 1974 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan Mycielski
Publisher : Springer Science & Business Media
ISBN 13 : 9783540632467
Total Pages : 388 pages
Book Rating : 4.6/5 (324 download)
Download or read book Structures in Logic and Computer Science written by Jan Mycielski and published by Springer Science & Business Media. This book was released on 1997-07-23 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book summarises contemporary knowledge about the theory of atomic and molecular clusters. New results are discussed on a high theoretical level. Access to this field of research is given by an explanation of the various subjects in introductory chapters.
Author : W. Hodges
Publisher : Springer
ISBN 13 : 3540371621
Total Pages : 363 pages
Book Rating : 4.5/5 (43 download)
Download or read book Conference in Mathematical Logic - London '70 written by W. Hodges and published by Springer. This book was released on 2006-11-15 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R.B. Chuaqui
Publisher : Newnes
ISBN 13 : 0080871623
Total Pages : 405 pages
Book Rating : 4.0/5 (88 download)
Download or read book Axiomatic Set Theory written by R.B. Chuaqui and published by Newnes. This book was released on 2011-08-30 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Axiomatic Set Theory
