Mathematical Logic

Joseph R. Shoenfield (Autor)

Buch | Softcover

352 Seiten

2001
A K Peters (Verlag)
978-1-56881-135-2 (ISBN)

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This classic introduction to the main areas of mathematical logic provides the basis for a first graduate course in the subject. It embodies the viewpoint that mathematical logic is not a collection of vaguely related results, but a coherent method of attacking some of the most interesting problems, which face the mathematician. The author presents the basic concepts in an unusually clear and accessible fashion, concentrating on what he views as the central topics of mathematical logic: proof theory, model theory, recursion theory, axiomatic number theory, and set theory. There are many exercises, and they provide the outline of what amounts to a second book that goes into all topics in more depth. This book has played a role in the education of many mature and accomplished researchers.

Joseph R. Shoenfield

PREFACE, Dedication, Chapter 1: The Nature of Mathematical Logic, Chapter 2: First-Order Theories, Chapter 3: Theorems in First-Order Theories, Chapter 4: The Characterization Problem, Chapter 5: The Theory of Models, Chapter 6: Incompleteness and Undecidability, Chapter 7: Recursion Theory, Chapter 8: The Natural Numbers, Chapter 9: Set Theory, Appendix The Word Problem, Index

Erscheint lt. Verlag	9.2.2001
Verlagsort	Natick
Sprache	englisch
Maße	156 x 234 mm
Gewicht	650 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	1-56881-135-7 / 1568811357
ISBN-13	978-1-56881-135-2 / 9781568811352
Zustand	Neuware