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The text is divided into eight sections ranging from numbers to astrophysics. While the book does build on the information offered in each chapter, it is not necessary to read the book in a linear fashion. Devlin makes it very easy to choose chapters of interest.
The first chapter deals with numbers. Ironically, we assume a lot about numbers when considering math. Devlin does an excellent job of defining what numbers are apart from the symbols we ascribe to them.
The second chapter provides a concise explanation of mathematical proofs, reason, and logic. Using his unique style, Devlin is able to cover this chapter with examples from classic math (algebra) to modern linguistic analysis. The latter is an excellent example of how Devlin applies math theories presented to natural real world examples.
Chapter 3 deals with the calculus. If you have ever asked: what is calculus used for, there is finally a concise, understandable presentation available in this chapter.
Chapter 4 refers to geometries. Devlin traces the evolution of geometries and provides a good introduction to dimensions beyond the third dimension. (These ideas are continued in Chapters 6 and 8.)
Chapter 5 is rather odd but seems to build on analyzing patterns in geometries. It treats topics like packing objects and snowflake patterns.
Chapter 6 is the most difficult chapter, in my opinion, but also the most rewarding. This chapter alone is well worth the book. If you ever wanted to understand donuts, coffee cups, manifolds, strings, and knots, this is an excellent chapter.
Chapter 7 is my favorite chapter. For once, someone has the insight to simply state that gambling and insurance are derived from the same origins. The chapter is an excellent treatment of regressions, means, and other "statistical" math.
Chapter 8 reminds me of Michiu Kaku. It takes many of the mathematical theories and information presented and applies it to modern scientific pursuits like gravity, relativity, and space time.
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