@article {MATHEDUC.06070859, author = {Richman, Fred}, title = {Algebraic functions, calculus style.}, year = {2012}, journal = {Communications in Algebra}, volume = {40}, number = {7}, issn = {0092-7872}, pages = {2671-2683}, publisher = {Taylor \& Francis, Philadelphia, PA}, doi = {10.1080/00927872.2011.584337}, abstract = {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.}, msc2010 = {H75xx (I25xx)}, identifier = {2012e.00667}, }