An introduction to mathematics, outlining the major areas of study, key definitions, and the goals and purposes of mathematical research.[1][2] An overview of the history of mathematics, in seven chapters including the development of important concepts such as number, geometry, mathematical proof, and the axiomatic approach to the foundations of mathematics.[3][4][4][5] A chronology of significant events in mathematical history is also provided later in the book.[5] Three core sections, totalling approximately 600 pages.