This text investigates the foundational principles of college-level mathematics required for undergraduate curricula. The authors, William Leake Ayres, Cleota G. Fry, and Harold F.S. Jonah, utilize a structured pedagogical approach to bridge the gap between secondary school algebra and advanced calculus. The framework emphasizes logical progression, moving from algebraic manipulation to functional analysis and introductory analytical geometry.

This text is recognized as a traditional resource for undergraduate mathematics instruction. Educators frequently note the clarity of the instructional progression, though the content reflects the pedagogical standards of its publication era.