Studying The Elements of Euclid reveals the foundations of mathematical rigour and the systems through the lens of which we see the world today. Though the end result of the concepts covered in many of the books of the Elements will be familiar to those who have completed high school maths; seeing Euclid’s system come together to weave the fabric of maths and understanding the proofs from first principles is another matter entirely.
Alfred North Whitehead’s An Introduction to Mathematics takes us on a journey of broad strokes, one that traverses the history, notation, and application of mathematical fields. An Introduction to Mathematics is a practical book on theory, great for enticing the study of math at the university level. While covering introductory material, it introduces elegant mathematical insights that will intrigue the reader. It illustrates the principles of generality, form, variable, and abstraction as the elements of mathematics.