Devlin, Keith J

The author offers a breathtakingly new theory of language development that describes how language evolved in two stages and how its main purpose was not communication. He goes on to show that the ability to think mathematically arose out of the same symbol-manipulating ability that was so crucial to the very first emergence of true language. This book explains how our innate pattern-making abilities allow us to perform mathematical reasoning.

Explores how advanced mathematics is used to solve criminal cases, discussing geographic profiling, statistics, finding patterns, changepoint detection, Bayesian inference, DNA profiling, codes, fingerprints, risk analysis, counterterrorism, and other techniques.

Explores two kind of mathematics: the natural and symbolic. Argues that both animals and humans can work with the natural form of math, but only humans can use symbolic math. A good understanding of the field of mathematics connects the symbolic with the natural forms of math.

Introduces seven extremely difficult mathematical problems, known as the Millennium Problems, and explains how they were devised and how they will have an impact on the future of math and science.

Details the letters written between Blaise Pascal and Pierre de Fermat, in which each man developed a means to accurately predict mathematical futures. Considers how this discovery is applied to modern life, as well as its influence on allowing mankind to think about the "future.".

Looks at the capabilities inherent in humans to reason and to understand language and delves into the attempts of scientists to duplicate such thought patterns in computer programs and explains why these attempts always fail.

Tells the stories behind seven extraordinarily difficult mathematical problems, the solutions for which the Clay Foundation of Cambridge, Massachusetts is offering one million dollars each, and discusses what they mean for the future of math and science.

Traces the life of the mathematician who introduced Arabic numbers to Western Europe, including how the book "Liber Abbaci" enabled people to understand numbers, engage in commerce, and make advances in the fields of science, technology, and business.