Introduction, 1 Propositional Logic and Other Fundamentals, 2 First-Order Logic, 3 Completeness and Compactness, 4 Incompleteness and Undecidability, 5 Topics in Definability, 6 Set Theory, 7 Model Theory, 8 Recursion Theory. References.
Peter G. Hinman earned his B.A. in mathematics from Harvard University in 1959. He studied mathematics at the graduate level in Berkeley at the University of California. In 1966, under the guidance of Professor John Addison, he received his Ph.D. in Mathematical Logic with a particular focus on Recursion Theory. He is currently a professor at the University of Michigan where he has taught since 1966 and advised seven successful Ph.D. students. In 1978 he published his first book Recursion-Theoretic Hierarchies.
" expect this book to become the standard graduate logic text for
the new century, based on the enthusiastic reception from students
in our course last year."" -Doug Cenzer, University of Florida,
July 2005
book is the long awaited successor to Shoenfield's book. At last
under one cover is all one needs for an advanced introduction to
mathematical logic. I will recommend it to all my beginning
students."" -Gerald Sacks, Harvard University, November 2005
""The book develops students' intuition by presenting complex end
difficult ideas in the simplest context for which they make sense.
Each part of the text contains useful remarks, illustrative
examples ond related exercises ... the author's style is quite
clear and approachable. No previous experience with logic is
presumed, only the maturity and capacity for abstraction.
Consequently, this book seems to be ideal to graduate students of
both mathematics ond theoretical computer science, as well as to
students of philosophy and a large circle of specialists working in
the field of mathematical logic."" -Branislav Boricic, Zentralblatt
MATH, July 2006
""Based on the author's more than thirty-five years of teaching
experience at the University of Michigan, and nearly twenty years
in the writing, this book incorporates what he has leamed about
enabling students with varying levels of interest and ability to
come to a deep understanding of this beautiful subject."" -Peter
Fillmore, CMS, February 2007
""Based on the author's more than thirty-five years of teaching
experience at the University of Michigan, and nearly twenty years
in the writing, this book incorporates what he has learned about
enabling 'students with varying levels of interest and ability to
come to a deep understanding of this beautiful subject.' Among the
testimonials from users: At last under one cover is all one needs
for an advanced introduction to mathematical logic (Gerald Sacks,
Harvard)."" -Canadian Mathematical Society, February 2007"
 |
Ask a Question About this Product More... |
|
