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Book Review of Journey Through Genius: The Great Theorems of Mathematics

Journey Through Genius: The Great Theorems of Mathematics
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SHOULD BE REQUIRED READING FOR EVERY HIGH SCHOOL SENIOR. While it has the history and boigraphy of mathematics and mathematicians, the vast majority of the focus is on the mathematics. It shows the development of algebraic concepts and proofs the Pythagorean Theorem through development and derivation of infinite series such as Newton's and others' formulas for pi, and into more recent and esoteric areas such as Godel's proofs of many infinities. Calculus is not needed and is mainly described in the controversies over its invention/discovery by Newton and/or Leibniz.

Okay, there was about four pages on the life of some guy who developed the generic cubic formula (the next step up from the quadratic formula taught in high school) - these pages have nothing about math, but are all about the hard, terrible, sucky, bad-luck life he lived. I'm not sure of the point of that, perhaps that one can suffer and still make a significant contribution to mathematics. But nowhere else in the book is there a run of four pages without substantial mathematics content.

But that's only one percent of the book, and I've learned a lot more about mathmathematics (and not just who did what, but in many cases exactly how they did what they did) than many other books on and about math. The only thing remotely comparable is a collection of James R. Newman books such as his "Mathematics and The Imagination" and his four volume "The World of Mathematics," but this book still has much that others don't.

I wish I had read something like this before my first year of college (which was a few years before this book was first published), as I might have looked for a school with a mathematics major program.