Fabulous Fibonacci Numbers by Alfred S. Posamentier

Fabulous Fibonacci Numbers

Alfred S. Posamentier, Ingmar Lehmann

Globe Pequot Publishing · Print & ebook · February 10, 2023

A Mathematics pick for readers exploring Fabulous Fibonacci Numbers.

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Who it’s for
Trace Fibonacci numbers through natural forms, culture, and mathematics, with clarity instead of mystique.
Themes
Fibonacci patterns in nature, Mathematics in art and culture, Applications of the Fibonacci sequence
Genres
Number Theory, History & Philosophy of Math, Applied Math

About this book

The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems.

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All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few.Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.

Patterns in Plain Sight

Trace Fibonacci numbers through natural forms, culture, and mathematics, with clarity instead of mystique.

Come here for

  • Pinecones, sunflowers, and the numbers behind their patterns
  • Mathematics meeting art, architecture, and everyday culture

Expect

  • Clear explanations spanning botany, algebra, and probability
  • A lively tour of the Fibonacci sequence and golden ratio

Where it sits

Number Theory51%
History & Philosophy of Math43%
Applied Math31%

Percentages are BookFrontier’s reading of the book.

Publisher categories

  • Algebra
  • Algebraic Geometry
  • Number Theory
Authors
Alfred S. Posamentier, Ingmar Lehmann
Publisher
Globe Pequot Publishing
Published
February 10, 2023
Format
Print & ebook
Theme
Fibonacci patterns in nature · Mathematics in art and culture · Applications of the Fibonacci sequence
Reading lane
Algebra