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Logic and Set Theory

 
S.K. Jain (Author)
Synopsis In this introduction to set theory and logic, the author discusses first order logic, and gives a rigorous axiomatic presentation of Zermelo-Fraenkel Set Theory. He includes many methodological remarks and explanations, and demonstrates how the basic concepts of mathematics can be reduced to set theory. He explains concepts and results of Recursion Theory in intuitive terms, and reaches the limitative results of Skolem, Tarski, Church and Godel (the celebrated incompleteness theorems). For students of mathematics and philosophy, this book provides an excellent introduction to logic and set theory.   Lucidly and gradually explains sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean Algebras, Informal Axiomatic Set Theory, Several Algebraic Theories, and First-Order Theories. Its clarity makes this book excellent for self-study.
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About the author

S.K. Jain

Prof. S.K. Jain holds a doctorate degree in mathematics. He is widely known for his research work, and academic achievements. He retired as an Associate Professor. The research career of Dr. S.K. Jain span a period off nearly 25 years which saw rapid developments in varioius aspects of modern mathematics. Dr. Jain has played a significant role in these developments.

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Bibliographic information

Title Logic and Set Theory
Author S.K. Jain
Format Hardcover
Date published: 02.04.2008
Edition 1st ed.
Language: English
isbn 8178901838
length viii+188p.