Skip navigation

Bookboon.com Descarga eBooks y libros de texto gratis

Choose a category

Fibonacci Numbers and the Golden Ratio

Fibonacci Numbers and the Golden Ratio
Aún no ha sido puntuado
ISBN: 978-87-403-1559-2
1 edición
Páginas : 88
  • Price: 129,00 kr
  • Price: €13,99
  • Price: £13,99
  • Price: ₹250
  • Price: $13,99
  • Price: 129,00 kr
  • Price: 129,00 kr

Descarga GRATIS tus ebooks en 4 sencillos pasos

Lo sentimos, pero para poder descargar nuestros libros o ver nuestros vídeos, necesitas un navegador que permita JavaScript.
¿Podemos sugerirle eBooks gratuitos y noticias relevantes sobre Bookboon?
Después de introducir tu dirección de correo electrónico, recibirás un correo de confirmación. Confirma este correo para recibir el boletín de noticias mensual con respecto a libros de texto gratuitos. Los datos de contacto que nos proporciones no serán proporcionados a terceros.
eLib
Unlock your organization's learning potential
See Demo

Corporate eLibrary

Discover our employee learning solutions

This is a Premium eBook

Bookboon Premium - Gain access to over 800 eBooks - without ads

You can get free access for a month to this - and 800 other books with the Premium Subscription. You can also buy the book below

  • Start a 30-day free trial. After trial: 39,99 kr p/m
  • Start a 30-day free trial. After trial: €5,99 p/m
  • Start a 30-day free trial. After trial: £4,99 p/m
  • Start a 30-day free trial. After trial: ₹299 p/m
  • Start a 30-day free trial. After trial: $3,99 p/m
  • Start a 30-day free trial. After trial: 39,99 kr p/m
  • Start a 30-day free trial. After trial: 39,99 kr p/m
eLib
Unlock your organization's learning potential
Click here!

Corporate eLibrary

Discover our employee learning solutions

Acerca del libro

  1. Opiniones
  2. Descripción
  3. Contenido

Opiniones

Fernando Bezerra de Menezes ★★★★★

Congratulations to Prof. Chasnov for his amazing course and book. An extremely rare opportunity for someone interested in the beauty of Mathematics.

Dov John Peri ★★★★★

A great book about Fibonacci Numbers and associated topics. It is well explained and includes a lot of exercises. It was very helpful for me during the course.

Rishabh Jain ★★★★☆

Very good material on the topics of Fibonacci ratio and other related topics. I found it a little too concise, however, it covered all the needs of the course it accompanied. Quite a good read standalone as well. If only it contained a little more material and info, it would have been even better.

Linda Oosthuizen ★★★★★

So much fun and so interesting!

Lake George ★★★★★

Excellent! Very clear explanations, very helpful drawings and diagrams, most informative and interesting!

Descripción

This book consists of the lecture notes, problems and solutions from the author’s Coursera course “Fibonacci numbers and the golden ratio.” YouTube links to the course’s videos are provided at the top of each lecture. In these lectures, we learn the origin of the Fibonacci numbers and the golden ratio, and derive a formula to compute any Fibonacci number from powers of the golden ratio. We learn how to add a series of Fibonacci numbers and their squares, and unveil the mathematics behind a famous paradox called the Fibonacci bamboozlement. We construct a beautiful golden spiral and an even more beautiful Fibonacci spiral, and we learn why the Fibonacci numbers can appear unexpectedly in nature. At the end of each lecture, students are given interesting problems to solve, and the author’s detailed solutions are provided in the book’s Appendix.

Contenido

  1. The Fibonacci sequence 
  2. The Fibonacci sequence redux 
  3. The golden ratio 
  4. Fibonacci numbers and the golden ratio 
  5. Binet’s formula 
  6. The Fibonacci Q-matrix 
  7. Cassini’s identity 
  8. The Fibonacci bamboozlement 
  9. Sum of Fibonacci numbers 
  10. Sum of Fibonacci numbers squared 
  11. The golden rectangle 
  12. Spiraling squares 
  13. The golden spiral 
  14. An inner golden rectangle 
  15. The Fibonacci spiral 
  16. Fibonacci numbers in nature 
  17. Continued fractions 
  18. The golden angle 
  19. The growth of a sunflower 

This website uses cookies to improve user experience. By using our website you consent to all cookies in accordance with EU regulation.