Search Results for "set-theory-and-the-continuum-problem-dover-books-on-mathematics"

Set Theory and the Continuum Hypothesis

Set Theory and the Continuum Hypothesis

  • Author: Paul J. Cohen,Martin Davis
  • Publisher: Courier Corporation
  • ISBN: 0486469212
  • Category: Mathematics
  • Page: 154
  • View: 2817
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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

  • Author: Raymond M. Smullyan,Melvin Fitting
  • Publisher: N.A
  • ISBN: 9780486474847
  • Category: Mathematics
  • Page: 315
  • View: 2885
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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.

Satan, Cantor und die Unendlichkeit

Satan, Cantor und die Unendlichkeit

und 200 weitere verblüffende Tüfteleien

  • Author: Raymond Smullyan
  • Publisher: Springer-Verlag
  • ISBN: 3034862318
  • Category: Juvenile Nonfiction
  • Page: 232
  • View: 7579
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Grundzüge der Mengenlehre

Grundzüge der Mengenlehre

  • Author: Felix Hausdorff
  • Publisher: American Mathematical Soc.
  • ISBN: 9780828400619
  • Category: Mathematics
  • Page: 476
  • View: 9679
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This reprint of the original 1914 edition of this famous work contains many topics that had to be omitted from later editions, notably, Symmetric Sets, Principle of Duality, most of the ``Algebra'' of Sets, Partially Ordered Sets, Arbitrary Sets of Complexes, Normal Types, Initial and Final Ordering, Complexes of Real Numbers, General Topological Spaces, Euclidean Spaces, the Special Methods Applicable in the Euclidean Plane, Jordan's Separation Theorem, the Theory of Content and Measure, the Theory of the Lebesgue Integral. The text is in German.

A Book of Set Theory

A Book of Set Theory

  • Author: Charles C Pinter
  • Publisher: Courier Corporation
  • ISBN: 0486497089
  • Category: Mathematics
  • Page: 256
  • View: 900
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"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"--

The Philosophy of Set Theory

The Philosophy of Set Theory

An Historical Introduction to Cantor's Paradise

  • Author: Mary Tiles
  • Publisher: Courier Corporation
  • ISBN: 0486138550
  • Category: Mathematics
  • Page: 256
  • View: 4105
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DIVBeginning with perspectives on the finite universe and classes and Aristotelian logic, the author examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. /div

Naive Mengenlehre

Naive Mengenlehre

  • Author: Paul R. Halmos
  • Publisher: Vandenhoeck & Ruprecht
  • ISBN: 9783525405277
  • Category: Arithmetic
  • Page: 132
  • View: 2309
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The Godelian Puzzle Book

The Godelian Puzzle Book

Puzzles, Paradoxes and Proofs

  • Author: Raymond M. Smullyan
  • Publisher: Courier Corporation
  • ISBN: 0486497054
  • Category: Mathematics
  • Page: 288
  • View: 2770
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These recreational logic puzzles provide entertaining variations on Gödel's incompleteness theorems, offering ingenious challenges related to infinity, truth and provability, undecidability, and other concepts. Written by a distinguished mathematician and creator of numerous popular puzzle books, this volume requires no background in formal logic and will delight readers of all ages.

Grenzen der Mathematik

Grenzen der Mathematik

Eine Reise durch die Kerngebiete der mathematischen Logik

  • Author: Dirk W. Hoffmann
  • Publisher: Springer-Verlag
  • ISBN: 3662566176
  • Category: Mathematics
  • Page: 441
  • View: 5450
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Ist die Mathematik frei von Widersprüchen? Gibt es Wahrheiten jenseits des Beweisbaren? Ist es möglich, unser mathematisches Wissen in eine einzige Zahl hineinzucodieren? Die moderne mathematische Logik des zwanzigsten Jahrhunderts gibt verblüffende Antworten auf solche Fragen. Das vorliegende Buch entführt Sie auf eine Reise durch die Kerngebiete der mathematischen Logik, hin zu den Grenzen der Mathematik. Unter anderem werden die folgenden Themen behandelt: Geschichte der mathematischen Logik, formale Systeme, axiomatische Zahlentheorie und Mengenlehre, Beweistheorie, die Gödel‘schen Unvollständigkeitssätze, Berechenbarkeitstheorie, algorithmische Informationstheorie, Modelltheorie. Das Buch enthält zahlreiche zweifarbige Abbildungen und mehr als 70 Aufgaben (mit Lösungen auf der Website zum Buch). Für die dritte Auflage wurde das Kapitel ‚Modelltheorie‘ um eine Beschreibung der von Paul Cohen entwickelten Forcing-Technik ergänzt.

Popular Lectures on Mathematical Logic

Popular Lectures on Mathematical Logic

  • Author: Hao Wang
  • Publisher: Courier Corporation
  • ISBN: 0486171043
  • Category: Mathematics
  • Page: 292
  • View: 4397
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Noted logician discusses both theoretical underpinnings and practical applications, exploring set theory, model theory, recursion theory and constructivism, proof theory, logic's relation to computer science, and other subjects. 1981 edition, reissued by Dover in 1993 with a new Postscript by the author.

The Lady Or the Tiger?

The Lady Or the Tiger?

And Other Logic Puzzles

  • Author: Raymond M. Smullyan
  • Publisher: Courier Corporation
  • ISBN: 048647027X
  • Category: Science
  • Page: 226
  • View: 6756
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"Another scintillating collection of brilliant problems and paradoxes by the most entertaining logician and set theorist who ever lived." — Martin Gardner. Inspired by the classic tale of a prisoner's dilemma, these whimsically themed challenges involve paradoxes about probability, time, and change; metapuzzles; and self-referentiality. Nineteen chapters advance in difficulty from relatively simple to highly complex.

First-order Logic

First-order Logic

  • Author: Raymond M. Smullyan
  • Publisher: Courier Corporation
  • ISBN: 9780486683706
  • Category: Mathematics
  • Page: 158
  • View: 6302
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Considered the best book in the field, this completely self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods. The focus in on the tableau point of view. Topics include trees, tableau method for propositional logic, Gentzen systems, more. Includes 144 illustrations.

King Arthur in Search of His Dog and Other Curious Puzzles

King Arthur in Search of His Dog and Other Curious Puzzles

  • Author: Raymond M. Smullyan
  • Publisher: Courier Corporation
  • ISBN: 0486474356
  • Category: Mathematics
  • Page: 149
  • View: 8900
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This fanciful, original collection for readers of all ages features arithmetic puzzles, logic problems related to crime detection, and logic and arithmetic puzzles involving King Arthur and his Dogs of the Round Table.

The Surprise Attack in Mathematical Problems

The Surprise Attack in Mathematical Problems

  • Author: Louis A. Graham
  • Publisher: Courier Dover Publications
  • ISBN: 0486820769
  • Category: Mathematics
  • Page: 160
  • View: 7541
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An unusual problem book that focuses on the method of solution, this collection spotlights 52 problems, each with several approaches to situations involving measurement of geometrical spaces, probabilities, distances, relative motion, more.

Satan, Cantor & Infinity

Satan, Cantor & Infinity

Mind-boggling Puzzles

  • Author: Raymond M. Smullyan
  • Publisher: Courier Corporation
  • ISBN: 0486470369
  • Category: Games
  • Page: 270
  • View: 2699
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Honorable knights, lying knaves, and other fanciful characters populate this unusual survey of the principles underlying the works of Georg Cantor. Created by a renowned mathematician, these engaging puzzles apply logical precepts to issues of infinity, probability, time, and change. They require a strong mathematics background and feature complete solutions.

Axiomatic Set Theory

Axiomatic Set Theory

  • Author: Patrick Suppes
  • Publisher: Courier Corporation
  • ISBN: 0486136876
  • Category: Mathematics
  • Page: 265
  • View: 1640
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Geared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition.

Die Relativitätstheorie Einsteins

Die Relativitätstheorie Einsteins

Kommentiert und erweitert von Jürgen Ehlers und Markus Pössel

  • Author: Max Born
  • Publisher: Springer-Verlag
  • ISBN: 3642977596
  • Category: Science
  • Page: 470
  • View: 1178
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Dieses Buch ist bis heute eine der populärsten Darstellungen der Relativitätstheorie geblieben. In der vorliegenden Version haben J. Ehlers und M. Pössel vom Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut) in Golm/Potsdam den Bornschen Text kommentiert und einen den anschaulichen, aber präzisen Stil Borns wahrendes, umfangreiches Ergänzungskapitel hinzugefügt, das die stürmische Entwicklung der Relativiatätstheorie bis hin zu unseren Tagen nachzeichnet. Eingegangen wird auf Gravitationswellen und Schwarze Löcher, auf neuere Entwicklungen der Kosmologie, auf Ansätze zu einer Theorie der Quantengravitation und auf die zahlreichen raffinierten Experimente, welche die Gültigkeit der Einsteinschen Theorie mit immer größerer Genauigkeit bestätigt haben. Damit bleibt dieses Buch nach wie vor einer der unmittelbarsten Zugänge zur Relativitätstheorie für alle die sich für eine über das rein populärwissenschaftliche hinausgehende Einführung interessieren.

Philosophical Introduction to Set Theory

Philosophical Introduction to Set Theory

  • Author: Stephen Pollard
  • Publisher: Courier Dover Publications
  • ISBN: 0486805824
  • Category: Mathematics
  • Page: 192
  • View: 1138
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This unique approach maintains that set theory is the primary mechanism for ideological and theoretical unification in modern mathematics, and its technically informed discussion covers a variety of philosophical issues. 1990 edition.

Mathematik

Mathematik

  • Author: Timothy Gowers
  • Publisher: N.A
  • ISBN: 9783150187067
  • Category:
  • Page: 207
  • View: 1115
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The Convolution Transform

The Convolution Transform

  • Author: Isidore Isaac Hirschman,David V. Widder
  • Publisher: Courier Corporation
  • ISBN: 0486154564
  • Category: Mathematics
  • Page: 288
  • View: 6379
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The relation between differential operators and integral transforms is the theme of this work. Discusses finite and non-finite kernels, variation diminishing transforms, asymptotic behavior of kernels, real inversion theory, representation theory, the Weierstrass transform, more.