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Author : H. Arnold Schmidt
Publisher : Springer-Verlag
ISBN 13 : 3642947808
Total Pages : 579 pages
Book Rating : 4.6/5 (429 download)
Download or read book Mathematische Gesetze der Logik I written by H. Arnold Schmidt and published by Springer-Verlag. This book was released on 2013-03-08 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arnold Schmidt
Publisher :
ISBN 13 :
Total Pages : 555 pages
Book Rating : 4.:/5 (645 download)
Download or read book Mathematische Gesetze der Logik written by Arnold Schmidt and published by . This book was released on 1960 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arnold Schmidt
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (645 download)
Download or read book Mathematische Gesetze der Logik written by Arnold Schmidt and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Haskell Brooks Curry
Publisher : Courier Corporation
ISBN 13 : 9780486634623
Total Pages : 420 pages
Book Rating : 4.6/5 (346 download)
Download or read book Foundations of Mathematical Logic written by Haskell Brooks Curry and published by Courier Corporation. This book was released on 1977-01-01 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a pioneer of mathematical logic, this comprehensive graduate-level text explores the constructive theory of first-order predicate calculus. It covers formal methods — including algorithms and epitheory — and offers a brief treatment of Markov's approach to algorithms. It also explains elementary facts about lattices and similar algebraic systems. 1963 edition.
Author : Carl Müller
Publisher : Springer Science & Business Media
ISBN 13 : 3662117738
Total Pages : 366 pages
Book Rating : 4.6/5 (621 download)
Download or read book Foundations of the Mathematical Theory of Electromagnetic Waves written by Carl Müller and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. Lorenzen
Publisher : Springer Science & Business Media
ISBN 13 : 9401715823
Total Pages : 131 pages
Book Rating : 4.4/5 (17 download)
Download or read book Formal Logic written by P. Lorenzen and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Logic", one of the central words in Western intellectual history, compre hends in its meaning such diverse things as the Aristotelian syllogistic, the scholastic art of disputation, the transcendental logic of the Kantian critique, the dialectical logic of Hegel, and the mathematical logic of the Principia Mathematica of Whitehead and Russell. The term "Formal Logic", following Kant is generally used to distinguish formal logical reasonings, precisely as formal, from the remaining universal truths based on reason. (Cf. SCHOLZ, 1931). A text-book example of a formal-logical inference which from "Some men are philosophers" and "All philosophers are wise" concludes that "Some men are wise" is called formal, because the validity of this inference depends only on the form ofthe given sentences -in particular it does not depend on the truth or falsity of these sentences. (On the dependence of logic on natural language, English, for example, compare Section 1 and 8). The form of a sentence like "Some men are philosophers", is that which remains preserved when the given predicates, here "men" and "philosophers" are replaced by arbitrary ones. The form itself can thus be represented by replacing the given predicates by variables. Variables are signs devoid of meaning, which may serve merely to indicate the place where meaningful constants (here the predicates) are to be inserted. As variables we shall use - as did Aristotle - letters, say P, Q and R, as variables for predicates.
Author :
Publisher :
ISBN 13 :
Total Pages : 1078 pages
Book Rating : 4.:/5 (334 download)
Download or read book Zeitschrift für mathematische Logik und Grundlagen der Mathematik written by and published by . This book was released on 1960 with total page 1078 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ingolf Max
Publisher : Walter de Gruyter
ISBN 13 : 9783110145458
Total Pages : 576 pages
Book Rating : 4.1/5 (454 download)
Download or read book Logik und Mathematik: Frege-Kolloquium, Jena, 1993 (Perspectives in Analytical Philosophy) written by Ingolf Max and published by Walter de Gruyter. This book was released on 1995 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Arnold Schmidt
Publisher :
ISBN 13 :
Total Pages : 555 pages
Book Rating : 4.:/5 (6 download)
Download or read book Mathematische gesetze der logic written by H. Arnold Schmidt and published by . This book was released on 1960 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Hilbert
Publisher : Springer
ISBN 13 : 9783540038146
Total Pages : 0 pages
Book Rating : 4.0/5 (381 download)
Download or read book Grundzüge der theoretischen Logik written by David Hilbert and published by Springer. This book was released on 1967-01-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Die theoretische Logik, auch mathematische oder symbolische Logik genannt, ist eine Ausdehnung der formalen Methode der Mathematik auf das Gebiet der Logik. Sie wendet für die Logik eine ähnliche Formel sprache an, wie sie zum Ausdruck mathematischer Beziehungen schon seit langem gebräuchlich ist. In der Mathematik würde es heute als eine Utopie gelten, wollte man beim Aufbau einer mathematischen Disziplin sich nur der gewöhnlichen Sprache bedienen. Die großen Fortschritte, die in der Mathematik seit der Antike gemacht worden sind, sind zum wesentlichen Teil mit dadurch bedingt, daß es gelang, einen brauchbaren und leistungsfähigen Formalismus zu finden. - Was durch die Formel sprache in der Mathematik erreicht wird, das soll auch in der theoretischen Logik durch diese erzielt werden, nämlich eine exakte, wissenschaftliche Behandlung ihres Gegenstandes. Die logischen Sachverhalte, die zwischen Urteilen, Begriffen usw. bestehen, finden ihre Darstellung durch Formeln, deren Interpretation frei ist von den Unklarheiten, die beim sprachlichen Ausdruck leicht auftreten können. Der Übergang zu logischen Folgerungen, wie er durch das Schließen geschieht, wird in seine letzten Elemente zerlegt und erscheint als formale Umgestaltung der Ausgangsformeln nach gewissen Regeln, die den Rechenregeln in der Algebra analog sind; das logische Denken findet sein Abbild in einem Logikkalkül. Dieser Kalkül macht die erfolgreiche Inangriffnahme von Problemen möglich, bei denen das rein inhaltliche Denken prinzipiell versagt. Zu diesen gehört z. B.
Author : Hans Hermes
Publisher : Springer Science & Business Media
ISBN 13 : 3642871321
Total Pages : 254 pages
Book Rating : 4.6/5 (428 download)
Download or read book Introduction to Mathematical Logic written by Hans Hermes and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of lectures. It is intended as an introduction to classical two-valued predicate logic. The restriction to classical logic is not meant to imply that this logic is intrinsically better than other, non-classical logics; however, classical logic is a good introduction to logic because of its simplicity, and a good basis for applications because it is the foundation of classical mathematics, and thus of the exact sciences which are based on it. The book is meant primarily for mathematics students who are already acquainted with some of the fundamental concepts of mathematics, such as that of a group. It should help the reader to see for himself the advantages of a formalisation. The step from the everyday language to a formalised language, which usually creates difficulties, is dis cussed and practised thoroughly. The analysis of the way in which basic mathematical structures are approached in mathematics leads in a natural way to the semantic notion of consequence. One of the substantial achievements of modern logic has been to show that the notion of consequence can be replaced by a provably equivalent notion of derivability which is defined by means of a calculus. Today we know of many calculi which have this property.
Author : Bartel Leendert van der Waerden
Publisher : Springer Science & Business Media
ISBN 13 : 3662221373
Total Pages : 384 pages
Book Rating : 4.6/5 (622 download)
Download or read book Mathematical Statistics written by Bartel Leendert van der Waerden and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since my days as a student, economists, doctors, physiologists, biologists, and engineers have come to me with queries of a statistical nature. This book is the product of my long interest in practical solutions to such problems. Study of the literature and my own ideas have repeat edly led me to improved methods, which will be established here and applied to instructive examples taken from the natural and social sciences. Thus, I hope to help the reader avoid the many fruitless direc tions in which I worked at first. The examples are not artificially con structed from theoretical considerations but are instead taken from real situations; consequently, many of the examples require detailed explana tion. The presentation of the basic mathematical concepts is, I hope, as brief as possible without becoming incomprehensible. Some rather long theoretical arguments have been necessary, but, whenever possible, references for the more difficult proofs have been made to good text books already in existence. There would be no point in developing again the mathematical theories which have been presented clearly and in detail by Kolmogorov, Caratheodory, and Cramer.
Author : Leo Sario
Publisher : Springer Science & Business Media
ISBN 13 : 3642482694
Total Pages : 469 pages
Book Rating : 4.6/5 (424 download)
Download or read book Classification Theory of Riemann Surfaces written by Leo Sario and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the present monograph is to systematically develop a classification theory of Riemann surfaces. Some first steps will also be taken toward a classification of Riemannian spaces. Four phases can be distinguished in the chronological background: the type problem; general classification; compactifications; and extension to higher dimensions. The type problem evolved in the following somewhat overlapping steps: the Riemann mapping theorem, the classical type problem, and the existence of Green's functions. The Riemann mapping theorem laid the foundation to classification theory: there are only two conformal equivalence classes of (noncompact) simply connected regions. Over half a century of efforts by leading mathematicians went into giving a rigorous proof of the theorem: RIEMANN, WEIERSTRASS, SCHWARZ, NEUMANN, POINCARE, HILBERT, WEYL, COURANT, OSGOOD, KOEBE, CARATHEODORY, MONTEL. The classical type problem was to determine whether a given simply connected covering surface of the plane is conformally equivalent to the plane or the disko The problem was in the center of interest in the thirties and early forties, with AHLFORS, KAKUTANI, KOBAYASHI, P. MYRBERG, NEVANLINNA, SPEISER, TEICHMÜLLER and others obtaining incisive specific results. The main problem of finding necessary and sufficient conditions remains, however, unsolved.
Author : Andre Weil
Publisher : Springer Science & Business Media
ISBN 13 : 3662000466
Total Pages : 313 pages
Book Rating : 4.6/5 (62 download)
Download or read book Basic Number Theory written by Andre Weil and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Lorenzen
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.3/5 (91 download)
Download or read book Formale Logik written by Paul Lorenzen and published by . This book was released on 1967 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edwin Hewitt
Publisher : Springer Science & Business Media
ISBN 13 : 1441986383
Total Pages : 533 pages
Book Rating : 4.4/5 (419 download)
Download or read book Abstract Harmonic Analysis written by Edwin Hewitt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is based on courses given by E. Hewitt at the University of Washington and the University of Uppsala. The book is intended to be readable by students who have had basic graduate courses in real analysis, set-theoretic topology, and algebra. That is, the reader should know elementary set theory, set-theoretic topology, measure theory, and algebra. The book begins with preliminaries in notation and terminology, group theory, and topology. It continues with elements of the theory of topological groups, the integration on locally compact spaces, and invariant functionals. The book concludes with convolutions and group representations, and characters and duality of locally compact Abelian groups.
Author : G. Metakides
Publisher : Elsevier
ISBN 13 : 0080539645
Total Pages : 345 pages
Book Rating : 4.0/5 (85 download)
Download or read book Principles of Logic and Logic Programming written by G. Metakides and published by Elsevier. This book was released on 1996-06-13 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic's basic elements are unfolded in this book. The relation of and the transition from Logic to Logic Programming are analysed.With the use and the development of computers in the beginning of the 1950's, it soon became clear that computers could be used, not only for arithmetical computation, but also for symbolic computation. Hence, the first arithmetical computation programs, and the first programs created to answer elementary questions and prove simple theorems, were written simultaneously. The basic steps towards a general method based on Logic, were accomplished in 1965 by Robinson and later by Kowalski and Colmerauer who made use of Logic directly as a Logic Programming language. Each chapter includes solved as well as unsolved exercises provided to help the reader assimilate the corresponding topics. The solved exercises demonstrate how to work methodically, whereas the unsolved exercises aim to stimulate the reader's personal initiative. The contents of the book are self-contained; only an elementary knowledge of analysis is required. Thus, it can be used by students in every academic year, as simply reading material, or in the context of a course. It can also be used by those who utilize Logic Programming without having any particular theoretical background knowledge of Logic, or by those simply interested in Logic and its applications in Logic Programming.
