id: 06070859
dt: j
an: 2012e.00667
au: Richman, Fred
ti: Algebraic functions, calculus style.
so: Commun. Algebra 40, No. 7, 2671-2683 (2012).
py: 2012
pu: Taylor \& Francis, Philadelphia, PA
la: EN
cc: H75 I25
ut: algebraic functions; explicit algebraic functions; continuous algebraic
functions; derivatives; casus irreducibilis; partial functions
ci:
li: doi:10.1080/00927872.2011.584337
ab: Summary: We investigate the structure and properties of the explicit
algebraic functions described in calculus texts and their relation to
algebraic functions. A structure theorem enables us to construct a
large number of examples. An example of an algebraic function that is
not explicitly algebraic is studied, and an abstract algebraic context
is provided for the theory.
rv: