
06070859
j
2012e.00667
Richman, Fred
Algebraic functions, calculus style.
Commun. Algebra 40, No. 7, 26712683 (2012).
2012
Taylor \& Francis, Philadelphia, PA
EN
H75
I25
algebraic functions
explicit algebraic functions
continuous algebraic functions
derivatives
casus irreducibilis
partial functions
doi:10.1080/00927872.2011.584337
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.