Singh S. Fermat's Enigma

Anchor Books, 1997. — xviii, 315 p. — ISBN: 0-8027-1331-9, 978-0385493628.The riveting story of a mathematical problem that sprang from the study of the Pythagorean theorem developed in ancient Greece. The book follows mathematicians and scientists throughout history as they searched for new mathematical truths. In the 17th century, a French judicial assistant and amateur mathematician, Pierre De Fermat, produced many brilliant ideas in the field of number theory. The Greeks were aware of many whole number solutions to the Pythagorean theorem, where the sum of two perfect squares is a perfect square. Fermat stated that no whole number solutions exist if higher powers replace the squares in this equation. He left a message in the margin of a notebook that he had a proof, but that there was insufficient space there to write it down. His note was found posthumously, but the solution remained a mystery for 350 years. Finally, after working in isolation for eight years, Andrew Wiles, a young British mathematician at Princeton University, published a proof in 1995. Although this famous question has been resolved, many more remain unsolved, and new problems continually arise to challenge modern minds. This vivid account is fascinating reading for anyone interested in mathematics, its history, and the passionate quest for solutions to unsolved riddles. The book includes 19 black-and-white photos of mathematicians and occasional sketches of ancient mathematicians as well as diagrams of formulas. The illustrations help to humanize the subject and add to the readability.