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Item #:
16764520
Introduction to Axiomatic Set Theory (Graduate Texts in Mathematics) Second Edition 1982
Item #:
16764520
SCR 1591
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What Stands Out
Comprehensive Overview
This text provides an extensive introduction to axiomatic set theory, making it suitable for graduate students seeking a solid foundation in the subject.
Updated Edition
The 2nd edition offers revised content over the original, ensuring that readers engage with the latest methodologies and theories in set theory.
Softcover Format
The softcover version presents a convenient and cost-effective option for students, allowing easy access to important mathematical concepts without compromising on quality.
Product Details
- In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the GCH. Notes taken in 1963 by the second author were taught by him in 1966, revised extensively, and are presented here as an introduction to axiomatic set theory. Texts in set theory frequently develop the subject rapidly moving from key result to key result and suppressing many details. Advocates of the fast development claim at least two advantages. First, key results are high lighted, and second, the student who wishes to master the subject is com pelled to develop the detail on his own. However, an instructor using a fast development text must devote much class time to assisting his students in their efforts to bridge gaps in the text.
| Publisher | Springer |
| Publication date | December 12, 2011 |
| Edition | Second Edition 1982 |
| Language | English |
| Print length | 256 pages |
| ISBN-10 | 1461381703 |
| ISBN-13 | 978-1461381709 |
| Item Weight | 12.5 ounces (354.38 grams) |
| Dimensions | 5.98 x 0.59 x 9.02 inches (15.2 x 1.5 x 22.9 cm) |
Who Should Buy?
-
Graduate Students
Ideal for graduate students studying mathematics, particularly those focusing on set theory and foundational mathematics.
-
Mathematics Educators
Useful for educators teaching advanced mathematics courses, providing foundational knowledge and pedagogical insights in set theory.
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Researchers
Beneficial for researchers in mathematical logic and foundations, offering a strong theoretical framework in axiomatic set theory.
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Beginner Learners
Not suitable for beginners as it assumes prior knowledge of mathematical concepts and rigorous proof techniques.
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Casual Readers
Not recommended for casual readers, as it lacks engaging narratives and focuses heavily on technical details and formalism.
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Applied Mathematicians
May not benefit applied mathematicians who require practical applications rather than theoretical aspects of set theory.
Product Description
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Customer Questions & Answers
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Question:
What are the key objectives of this book?
Answer: To cover Godel's work on consistency of Axiom of Choice & Generalized Continuum Hypothesis and Cohen's work on independence of AC and GCH -
Question:
What is the advantage of a fast development text?
Answer: It highlights key results -
Question:
What are the characteristics of the text in this product description?
Answer: It is an introduction to axiomatic set theory
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SCR 1591
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Features & Benefits
- Text covers Godel's work on consistency of Axiom of Choice & Generalized Continuum Hypothesis and Cohen's work on independence of AC and GCH
- Instructor using the text must devote much class time
- Notes revised extensively and taught as an introduction
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