Eli Maor – författare

An exploration of one of the most celebrated and well-known theorems in mathematicsBy any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Although attributed to Pythagoras, the theorem was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof—if indeed he had one—is lost to us. The theorem itself, however, is central to almost every branch of science, pure or applied. Maor brings to life many of the characters that played a role in its history, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.

A fun, entertaining exploration of the ideas and people behind the growth of trigonometryTrigonometry has a reputation as a dry, difficult branch of mathematics, a glorified form of geometry complicated by tedious computation. In Trigonometric Delights, Eli Maor dispels this view. Rejecting the usual descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. From the proto-trigonometry of the Egyptian pyramid builders and the first true trigonometry developed by Greek astronomers, to the epicycles and hypocycles of the toy Spirograph, Maor presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social growth. A tapestry of stories, curiosities, insights, and illustrations, Trigonometric Delights irrevocably changes how we see this essential mathematical discipline.

In 2004, Venus crossed the sun''s face for the first time since 1882. Some did not bother to step outside. Others planned for years, reserving tickets to see the transit in its entirety. But even this group of astronomers and experience seekers were attracted not by scientific purpose but by the event''s beauty, rarity, and perhaps--after this book--history. For previous sky-watchers, though, transits afforded the only chance to determine the all-important astronomical unit: the mean distance between earth and sun. Eli Maor tells the intriguing tale of the five Venus transits previously observed and the fantastic efforts made to record them. This is a story of heroes and cowards, of reputations earned and squandered, all told against a backdrop of phenomenal geopolitical and scientific change. With a novelist''s talent for the details that keep readers reading late, Maor tells the stories of how Kepler''s misguided theology led him to the laws of planetary motion; of obscure Jeremiah Horrocks, who predicted the 1639 transit only to die, at age 22, a day before he was to discuss the event with the only other human known to have seen it; of the unfortunate Le Gentil, whose decade of labor was rewarded with obscuring clouds, shipwreck, and the plundering of his estate by relatives who prematurely declared him dead; of David Rittenhouse, Father of American Astronomy, who was overcome by the 1769 transit''s onset and failed to record its beginning; and of Maximilian Hell, whose good name long suffered from the perusal of his transit notes by a color-blind critic. Moving beyond individual fates, Maor chronicles how governments'' participation in the first international scientific effort--the observation of the 1761 transit from seventy stations, yielding a surprisingly accurate calculation of the astronomical unit using Edmund Halley''s posthumous directions--intersected with the Seven Years'' War, British South Seas expansion, and growing American scientific prominence. Throughout, Maor guides readers to the upcoming Venus transits in 2004 and 2012, opportunities to witness a phenomenon seen by no living person and not to be repeated until 2117.

A fascinating exploration of the pentagon and its role in various culturesThe pentagon and its close cousin, the pentagram, have inspired individuals for the last two and half millennia, from mathematicians and philosophers to artists and naturalists. Despite the pentagon’s wide-ranging history, no single book has explored the important role of this shape in various cultures, until now. Richly illustrated, Pentagons and Pentagrams offers a sweeping view of the five-sided polygon, revealing its intriguing geometric properties and its essential influence on a variety of fields.Traversing time, Eli Maor narrates vivid stories, both celebrated and unknown, about the pentagon and pentagram. He discusses the early Pythagoreans, who ascribed to the pentagon mythical attributes, adopted it as their emblem, and figured out its construction with a straightedge and compass. Maor looks at how a San Diego housewife uncovered four previously unknown types of pentagonal tilings, and how in 1982 a scientist’s discovery of fivefold symmetries in certain alloys caused an uproar in crystallography and led to a Nobel Prize. Maor also discusses the pentagon’s impact on many buildings, from medieval fortresses to the Pentagon in Washington, D.C. Eugen Jost’s superb illustrations provide sumptuous visual context, and the book’s puzzles and mazes offer fun challenges for readers, with solutions given in an appendix.

The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

An exquisite visual celebration of the 2,500-year history of geometryIf you''ve ever thought that mathematics and art don''t mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.

How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth centuryMusic is filled with mathematical elements, the works of Bach are often said to possess a math-like logic, and Igor Stravinsky said "musical form is close to mathematics," while Arnold Schoenberg, Iannis Xenakis, and Karlheinz Stockhausen went further, writing music explicitly based on mathematical principles. Yet Eli Maor argues that music has influenced math at least as much as math has influenced music. Starting with Pythagoras, proceeding through the work of Schoenberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and eccentrics who played a role in the age-old relationship between music, mathematics, and the sciences, especially physics and astronomy. Music by the Numbers explores key moments in this history, particularly how problems originating in music have inspired mathematicians for centuries. Perhaps the most famous of these problems is the vibrating string, which pitted some of the greatest mathematicians of the eighteenth century against each other in a debate that lasted more than fifty years and that eventually led to the development of post-calculus mathematics. Other highlights in the book include a comparison between meter in music and metric in geometry, complete with examples of rhythmic patterns from Bach to Stravinsky, and an exploration of a suggestive twentieth-century development: the nearly simultaneous emergence of Einstein''s theory of relativity and Schoenberg''s twelve-tone system.Weaving these compelling historical episodes with Maor''s personal reflections as a mathematician and lover of classical music, Music by the Numbers will delight anyone who loves mathematics and music.