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Was ist mathematische Logik? von Crossley, J. N.; Ash, C. J.; Brickhill, C. J.-
by Crossley, J. N.; Ash, C. J.;... | PB | VeryGood
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eBay-Artikelnr.:146584299946
Artikelmerkmale
- Artikelzustand
- Sehr gut
- Hinweise des Verkäufers
- Binding
- Paperback
- Book Title
- What Is Mathematical Logic?
- Weight
- 0 lbs
- Product Group
- Book
- IsTextBook
- No
- ISBN
- 9780486264042
Über dieses Produkt
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486264041
ISBN-13
9780486264042
eBay Product ID (ePID)
1119435
Product Key Features
Number of Pages
96 Pages
Language
English
Publication Name
What Is Mathematical Logic?
Subject
Logic
Publication Year
2010
Features
New Edition
Type
Textbook
Subject Area
Mathematics
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.3 in
Item Weight
4.5 Oz
Item Length
8.4 in
Item Width
5.4 in
Additional Product Features
Intended Audience
College Audience
LCCN
90-003739
Dewey Edition
18
Illustrated
Yes
Dewey Decimal
511/.3
Edition Description
New Edition
Table Of Content
Introduction 1. Historical Survey 2. The Completeness of Predicate Calculus 3. Model Theory 4. Turing Machines and Recursive Functions 5. Gödel's Incompleteness Theorems 6. Set Theory Some Suggestions for Further Reading Index
Synopsis
This introduction to the main ideas and results of mathematical logic is a serious treatment geared toward non-logicians. Starting with a historical survey of logic in ancient times, it traces the 17th-century development of calculus and discusses modern theories, including set theory, the continuum hypothesis, and other ideas. 1972 edition., Although mathematical logic can be a formidably abstruse topic, even for mathematicians, this concise book presents the subject in a lively and approachable fashion. It deals with the very important ideas in modern mathematical logic without the detailed mathematical work required of those with a professional interest in logic. The book begins with a historical survey of the development of mathematical logic from two parallel streams: formal deduction, which originated with Aristotle, Euclid, and others; and mathematical analysis, which dates back to Archimedes in the same era. The streams began to converge in the seventeenth century with the invention of the calculus, which ultimately brought mathematics and logic together. The authors then briefly indicate how such relatively modern concepts as set theory, Gödel's incompleteness theorems, the continuum hypothesis, the Löwenheim-Skolem theorem, and other ideas influenced mathematical logic. The ideas are set forth simply and clearly in a pleasant style, and despite the book's relative brevity, there is much covered on these pages. Nonmathematicians can read the book as a general survey; students of the subject will find it a stimulating introduction. Readers will also find suggestions for further reading in this lively and exciting area of modern mathematics., Although mathematical logic can be a formidably abstruse topic, even for mathematicians, this concise book presents the subject in a lively and approachable fashion. It deals with the very important ideas in modern mathematical logic without the detailed mathematical work required of those with a professional interest in logic. The book begins with a historical survey of the development of mathematical logic from two parallel streams: formal deduction, which originated with Aristotle, Euclid, and others; and mathematical analysis, which dates back to Archimedes in the same era. The streams began to converge in the seventeenth century with the invention of the calculus, which ultimately brought mathematics and logic together. The authors then briefly indicate how such relatively modern concepts as set theory, G del's incompleteness theorems, the continuum hypothesis, the L wenheim-Skolem theorem, and other ideas influenced mathematical logic. The ideas are set forth simply and clearly in a pleasant style, and despite the book's relative brevity, there is much covered on these pages. Nonmathematicians can read the book as a general survey; students of the subject will find it a stimulating introduction. Readers will also find suggestions for further reading in this lively and exciting area of modern mathematics., A serious introductory treatment geared toward non-logicians, this survey traces the development of mathematical logic from ancient to modern times and discusses the work of Planck, Einstein, Bohr, Pauli, Heisenberg, Dirac, and others. 1972 edition.
LC Classification Number
QA9.W47 19
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