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Eli Maor

    4 oktober 1937
    Hudba v číslech, čísla v hudbě
    e: The Story of a Number
    Music by the Numbers
    Trigonometric Delights
    Pentagons and Pentagrams
    • A fascinating exploration of the pentagon and its role in various cultures The 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.

      Pentagons and Pentagrams
    • Trigonometric Delights

      • 256bladzijden
      • 9 uur lezen
      4,0(2)Tarief

      A fun, entertaining exploration of the ideas and people behind the growth of trigonometry Trigonometry 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.

      Trigonometric Delights
    • Music by the Numbers

      • 176bladzijden
      • 7 uur lezen
      3,7(25)Tarief

      How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century.

      Music by the Numbers
    • 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 background in mathematics, this biography of e brings out that number's central importance in mathematics and illuminates a golden era in the age of science.

      e: The Story of a Number
    • Hudba v číslech, čísla v hudbě

      Od Pythagora k Schoenbergovi

      4,0(13)Tarief

      Eli Maor se ve své knize věnuje vztahům mezi matematikou a hudbou. Nejednou čtenáři osvětlí řadu překvapivých detailů, když zkoumá, jak lze uplatnit matematický aparát v hudbě i naopak. Věnuje se například matematickému popisu vztahů mezi jednotlivými tóny, systémům ladění a jejich historickému vývoji. Píše o snaze matematiků a fyziků přesně popsat pohyb struny, prostor věnuje i zkoumání vzniku a povahy zvuku a jeho přenosu. Jinou oblastí, kde se projevují matematické zákonitosti, jsou rytmické poměry v hudbě, ale ani u nich paralely mezi matematikou a hudbou nekonči. Autor jakožto znalec matematiky a milovník klasické hudby zná obě oblasti detailně a čtenáře dokáže svým zájmem nakazit; a dělá to s podmanivou lehkostí. Anotace 2: Pythagoras v experimentech s monochordem stanovil zákonitosti mezi délkou struny a hudebními intervaly. Tzv. přirozené ladění bylo postupem času nahrazeno laděním temperovaným. Rozdíl mezi nimi vysvětluje přítomná kniha, a současně ozřejmuje, že tónové poměry jsou dány jednoduchými matematickými zákonitostmi, které se neomezují jen na huddební oblast.

      Hudba v číslech, čísla v hudbě