Book Name : The Golden Ratio
Author : Mario Livio
What is it about : The history, characteristics and applications of a seemingly simple equation: x squared - x - 1 = 0 that converges to the Golden Ratio 1.6180339887.... The book painstakingly explained that this ratio can be computed via many different ways e.g. The Fibonacci Numbers, Euclidean geometry or the logarithmic spiral etc. So, what's the big deal ? The book explains in terms that even I understood that this ratio represents "the most irrational of all irrational numbers" - a ratio least expressible as a fraction and the world as we know it, is full of behaviour based on this ratio. The book also gives insightful accounts of the lives of many "philosophers" such as Pythagoras and Kepler. The book rounds off with a philosophical debate / discussion on the very topic of MATHEMATICS.
Some thoughts after having read the book : I was a little apprehensive when I loaned out this book from the local library as I had left my maths days WAY BEHIND, like for the past 25 years, I had hardly encountered an equation. But I was rewarded by a patient author who peppered the book with outstanding and interesting examples which included even the way an eagle spirals down to attack its prey - yeh, amazingly, the Golden Ratio is deployed in the attack ! I was not overly keen on reading about painters, artists using this ratio in their final products as I am not much of an artist. I followed most of the neat but clearly detailed mathematical proofs in the appendices without too much problems.
Would I recommend this book to you : If you want to rekindle your passion and curiosity about your long-forgotten maths; or if you are intrigued by the magical properties of numbers / constants / ratio etc or if you are fascinated by the coherence of maths in explaining the universe's phenomena from plant growth, star formation or rabbit breeding; then this is your book !
Author : Mario Livio
What is it about : The history, characteristics and applications of a seemingly simple equation: x squared - x - 1 = 0 that converges to the Golden Ratio 1.6180339887.... The book painstakingly explained that this ratio can be computed via many different ways e.g. The Fibonacci Numbers, Euclidean geometry or the logarithmic spiral etc. So, what's the big deal ? The book explains in terms that even I understood that this ratio represents "the most irrational of all irrational numbers" - a ratio least expressible as a fraction and the world as we know it, is full of behaviour based on this ratio. The book also gives insightful accounts of the lives of many "philosophers" such as Pythagoras and Kepler. The book rounds off with a philosophical debate / discussion on the very topic of MATHEMATICS.
Some thoughts after having read the book : I was a little apprehensive when I loaned out this book from the local library as I had left my maths days WAY BEHIND, like for the past 25 years, I had hardly encountered an equation. But I was rewarded by a patient author who peppered the book with outstanding and interesting examples which included even the way an eagle spirals down to attack its prey - yeh, amazingly, the Golden Ratio is deployed in the attack ! I was not overly keen on reading about painters, artists using this ratio in their final products as I am not much of an artist. I followed most of the neat but clearly detailed mathematical proofs in the appendices without too much problems.
Would I recommend this book to you : If you want to rekindle your passion and curiosity about your long-forgotten maths; or if you are intrigued by the magical properties of numbers / constants / ratio etc or if you are fascinated by the coherence of maths in explaining the universe's phenomena from plant growth, star formation or rabbit breeding; then this is your book !
