From the Golden Rectangle to the Fibonacci Sequences
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Beschreibung
The book takes us on a fascinating journey through one of the most beautiful and fascinating topics of mathematics. It presents a wealth of information about the golden ratio and the Fibonacci sequence. The book introduces the reader to novel perspectives to classic mathematical concepts and problems.
The book’s structure engages with the reader actively, leading to more profound understanding, satisfaction and deep insights in learning mathematics.
The book strengthens and expands the readers' mathematical knowledge, allowing them a glimpse of several advanced academic concepts. It demonstrates and instils the essence of mathematical research, along the lines of George Polya: observation, conjecture, proof, implementation, generalization and raising new questions.
The book takes us on a fascinating journey through one of the most beautiful and fascinating topics of mathematics. It presents a wealth of information about the golden ratio and the Fibonacci sequence. The book introduces the reader to novel perspectives to classic mathematical concepts and problems.
The book’s structure engages with the reader actively, leading to more profound understanding, satisfaction and deep insights in learning mathematics.
The book strengthens and expands the readers' mathematical knowledge, allowing them a glimpse of several advanced academic concepts. It demonstrates and instils the essence of mathematical research, along the lines of George Polya: observation, conjecture, proof, implementation, generalization and raising new questions.
Presents the Golden Ratio and the Fibonacci Sequences for teaching purposes Introduces novel perspectives to classic mathematical concepts and problems Contains over 200 challenging exercises
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Themen in »From the Golden Rectangle to the Fibonacci Sequences«
Golden Rectangle Fibonacci Fibonacci Sequences Golden Number Golden Ratio Golden Triangles Lucas Numbers Binet's formula Matrices classic mathematical concepts and problems mathematical knowledge learning mathematics mathematical research
Stimmen zu »From the Golden Rectangle to the Fibonacci Sequences«
“From the Golden Rectangle to the Fibonacci Sequences is both a stimulating read … . Each concept presented in this book is done so with precision, accompanied by appropriate definitions, and followed by rigorous mathematical proofs. ... This book is intended for advanced high school students, college students, and interested readers with a strong mathematics background. ... The chapter closes with over 80 exercises for the reader to accomplish. There are answers or hints provided for each of the exercises.” (Tom French, MAA Reviews, September 4, 2023)
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