This text investigates the foundational mathematical concepts required to bridge the gap between secondary algebra and the study of calculus. The authors, Merrill E. Shanks, Charles F. Brumfiel, Charles R. Fleenor, and Robert E. Eicholz, utilize a structured pedagogical approach to prepare students for higher-level analysis. By presenting rigorous definitions and systematic problem sets, the text establishes a framework for understanding functions, trigonometry, and analytical geometry.

Experts recognize this volume as a standard pedagogical tool from the 1970s era of mathematics education. Readers frequently note the formal, academic density of the prose and the systematic progression of the curriculum.