The Golden Ratio: The Story of PHI पीडीएफ

मारियो लिवियो का जन्म 19 जून, 1945 को हुआ था, जो एक इजरायली-अमेरिकी खगोलशास्त्री और विज्ञान और गणित को लोकप्रिय बनाने वाले कार्यों के लेखक थे। 24 वर्षों (1991-2015) के लिए वह स्पेस टेलीस्कोप साइंस इंस्टीट्यूट में एक खगोल भौतिकीविद् थे, जो हबल स्पेस टेलीस्कोप का संचालन करता है। उन्होंने ब्रह्मांड विज्ञान, सुपरनोवा विस्फोट, ब्लैक होल, एक्स्ट्रासोलर ग्रहों और ब्रह्मांड में जीवन के उद्भव सहित विषयों पर 400 से अधिक वैज्ञानिक लेख प्रकाशित किए हैं।[1] अपरिमेय संख्या फी पर उनकी पुस्तक, द गोल्डन रेशियो: द स्टोरी ऑफ फी, द वर्ल्ड्स मोस्ट एस्टोनिशिंग नंबर (2002) ने गणित पर लोकप्रिय पुस्तकों के लिए पीनो पुरस्कार और अंतर्राष्ट्रीय पाइथागोरस पुरस्कार जीता।

The Golden Ratio: The Story of PHI पीडीएफ मारियो लिवियो

The Golden Ratio: The Story of PHI, the World's Most Astonishing Number. Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.