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Short description/annotation
A guide that any interested reader with some post-calculus experience in mathematics can read, enjoy, and learn from.
Main description
The foundations of mathematics include mathematical logic, set theory, recursion theory, model theory, and Gödel's incompleteness theorems. Professor Wolf provides here a guide that any interested reader with some post-calculus experience in mathematics can read, enjoy, and learn from. It could also serve as a textbook for courses in the foundations of mathematics, at the undergraduate or graduate level. The book is deliberately less structured and more user-friendly than standard texts on foundations, so will also be attractive to those outside the classroom environment wanting to learn about the subject.
Table of contents:
1. Predicate logic; 2. Set theory; 3. Recursion theory and computability; 4. Model theory; 5. Independence results in set theory; 6. Nonstandard analysis; 7. Constructive mathematics; Appendix A. A deductive system for first-order logic; Appendix B. Relations and orderings; Appendix C. Cardinal arithmetic; Bibliography; Index.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
A guide that any interested reader with some post-calculus experience in mathematics can read, enjoy, and learn from.
Main description
The foundations of mathematics include mathematical logic, set theory, recursion theory, model theory, and Gödel's incompleteness theorems. Professor Wolf provides here a guide that any interested reader with some post-calculus experience in mathematics can read, enjoy, and learn from. It could also serve as a textbook for courses in the foundations of mathematics, at the undergraduate or graduate level. The book is deliberately less structured and more user-friendly than standard texts on foundations, so will also be attractive to those outside the classroom environment wanting to learn about the subject.
Table of contents:
1. Predicate logic; 2. Set theory; 3. Recursion theory and computability; 4. Model theory; 5. Independence results in set theory; 6. Nonstandard analysis; 7. Constructive mathematics; Appendix A. A deductive system for first-order logic; Appendix B. Relations and orderings; Appendix C. Cardinal arithmetic; Bibliography; Index.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.