Fibonacci and Golden Ratio: Nature's Mathematical Marvels
Explore the fascinating world of Fibonacci numbers and the golden ratio, from mathematical foundations to applications in nature and art.
Explore the fascinating world of Fibonacci numbers and the golden ratio, from mathematical foundations to applications in nature and art.
This engaging course delves into the captivating world of Fibonacci numbers and the golden ratio, revealing their intricate relationships and surprising appearances in nature. Designed for beginners with a basic understanding of high school mathematics, the course covers key topics such as Fibonacci sequences, golden ratio properties, and their applications in various fields. Through three comprehensive modules, students will discover the mathematical beauty behind these concepts and their relevance in art, architecture, and natural phenomena. The course balances theoretical understanding with practical examples, ensuring a thorough grasp of these fascinating mathematical principles and their real-world significance.
4.8
(1,132 ratings)
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Instructors:
English
پښتو, বাংলা, اردو, 3 more
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What you'll learn
Understand the Fibonacci sequence and its mathematical properties
Explore the concept of the golden ratio and its relationship to Fibonacci numbers
Learn about Binet's formula and its applications in calculating Fibonacci numbers
Discover various Fibonacci identities and methods for summing Fibonacci numbers
Understand continued fractions and their connection to the golden ratio
Explore the appearance of Fibonacci numbers and the golden ratio in nature
Skills you'll gain
This course includes:
2.88 Hours PreRecorded video
10 quizzes
Access on Mobile, Tablet, Desktop
FullTime access
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There are 3 modules in this course
This course explores the fascinating world of Fibonacci numbers and the golden ratio, revealing their intricate relationships and surprising appearances in nature and art. The curriculum is structured to provide a deep understanding of these mathematical concepts, starting with the basics of Fibonacci sequences and progressing to more complex topics like continued fractions and their applications. Students will discover how these mathematical principles manifest in various natural phenomena, from the spiral patterns of sunflowers to the proportions in art and architecture. The course emphasizes both the theoretical foundations and the practical applications of these concepts, bridging the gap between pure mathematics and the observable world.
Fibonacci: It's as easy as 1, 1, 2, 3
Module 1 · 2 Hours to complete
Identities, sums and rectangles
Module 2 · 3 Hours to complete
The most irrational number
Module 3 · 3 Hours to complete
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Instructor
Expert in Mathematics at HKUST
Jeffrey R. Chasnov is a Professor of Mathematics at The Hong Kong University of Science and Technology, where he has been teaching since 1993. An expatriate American originally from New York and California, he earned his BA from UC Berkeley and his PhD from Columbia University. Dr. Chasnov has completed post-doctoral fellowships at NASA, Stanford, and in Grenoble, France, along with a sabbatical semester at Harvey Mudd College.
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4.8 course rating
1,132 ratings
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