Background
McCarthy, Paul Joseph was born on October 23, 1928 in Chicago, Illinois, United States. Son of Francis Anthony and Elizabeth (Loosen) McCarthy.
- Photos
- Works
- Photos
- Works
book
Introduction to Arithmetical Functions (Universitext)
(The theory of arithmetical functions has always been one ...)
The theory of arithmetical functions has always been one of the more active parts of the theory of numbers. The large number of papers in the bibliography, most of which were written in the last forty years, attests to its popularity. Most textbooks on the theory of numbers contain some information on arithmetical functions, usually results which are classical. My purpose is to carry the reader beyond the point at which the textbooks abandon the subject. In each chapter there are some results which can be described as contemporary, and in some chapters this is true of almost all the material. This is an introduction to the subject, not a treatise. It should not be expected that it covers every topic in the theory of arithmetical functions. The bibliography is a list of papers related to the topics that are covered, and it is at least a good approximation to a complete list within the limits I have set for myself. In the case of some of the topics omitted from or slighted in the book, I cite expository papers on those topics.
http://www.amazon.com/gp/product/038796262X/?tag=2022091-20
Algebraic Extensions of Fields
( Graduate text designed to prepare student for further s...)
Graduate text designed to prepare student for further study in the theory of fields, especially in algebraic number theory and class field theory. Galois theory and theory of valuations examined; special attention to development of infinite Galois theory, also detailed analysis of prolongation of rank-one valuations. "...clear, unsophisticated and direct..." — Math. Reviews. Over 200 exercises. Bibliography.
http://www.amazon.com/gp/product/0486666514/?tag=2022091-20
Introduction to Arithmetical Functions (Universitext) by Paul J. McCarthy (1985-12-19)
http://www.amazon.com/gp/product/B01FGNX7FU/?tag=2022091-20
Paul Joseph McCarthy
Edit ProfileEducation
Bachelor of Science, U. Notre Dame, 1950; Master of Science, U. Notre Dame, 1952; Doctor of Philosophy, U. Notre Dame, 1955.
Career
Instructor, College of Holy Cross, Worcester, Massachusetts, 1955-1956; assistant professor, Florida State University, Tallahassee, 1956-1959; associate professor, Florida State University, Tallahassee, 1959-1961; associate professor, U. Kansas, Lawrence, 1961-1964; professor, U. Kansas, Lawrence, 1964-1994.
Achievements
Works
book
-
Algebraic Extensions of Fields
( Graduate text designed to prepare student for further s...)
-
Introduction to Arithmetical Functions (Universitext)
(The theory of arithmetical functions has always been one ...)
- Introduction to Arithmetical Functions (Universitext) by Paul J. McCarthy (1985-12-19)
-
Algebraic Extensions of Fields
Connections
Married L. Jean White, June 11, 1952. Children: Margo, Mark.
