This manual pertains to the third edition of a popular undergraduate-level text titled "Foundations and Fundamental Concepts of Mathematics" by Howard Eves, published by Dover Publications. This edition provides a comprehensive historical overview and a readable treatment of mathematics, covering topics from pre-Euclidean mathematics to Euclid's Elements, non-Euclidean geometry, algebraic structures, formal axiomatics, and sets. It is designed for students seeking a foundational understanding of mathematical principles.

The purpose of this text is to guide readers through the evolution and core concepts of mathematics. It includes problems, with some solutions provided, to reinforce learning. A bibliography is also included for further exploration of the subject matter. This resource is intended for individuals engaged in the study of mathematics at an undergraduate level.