Joseph R. Shoenfield

Mathematical Logic (eBook, PDF)

• Format: PDF

Produktbeschreibung

A classic introduction to the main areas of mathematical logic, this book asserts that mathematical logic is not a collection of vaguely related results, but a coherent method of attacking interesting problems. The author presents the basic concepts in a 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.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 356
• Erscheinungstermin: 2. Mai 2018
• Englisch
• ISBN-13: 9781351433310
• Artikelnr.: 56842707

Autorenporträt

Joseph R. Shoenfield

Inhaltsangabe

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

Rezensionen

" ""classic text is as fresh and useful today as when first published. Noted for the economy of its presentation, it includes a wealth of basic and key results from all parts of mathematical logic."" -Solomon Feferman, Stanford University, January 2001
""The book remains an excellent introduction to logic . . . reads as a continuous whole, not a set of isolated topics . . . "" -C. W. Kilmister, The Mathematical Gazette, July 2003"