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As the famous Pythagorean statement reads, 'Number rules the universe', and its veracity is proven in the many mathematical discoveries that have accelerated the development of science, engineering, and even philosophy. A so called "art of the mind", mathematics has guided and stimulated many aspects of human innovation down through the centuries. In this book, Marcel Danesi presents a historical overview of the ten greatest achievements in mathematics, and dynamically explores their importance and effects on our daily lives. Considered as a chain of events rather than isolated incidents, Danesi takes us from the beginnings of modern day mathematics with Pythagoras, through the concept of zero, right the way up to modern computational algorithms. Loaded with thought-provoking practical exercises and puzzles, Pythagoras' Legacy allows the reader to apply their knowledge and discover the significance of mathematics in their everyday lives.
This is the story of Pythagoras and the Pythagoreans, whose insights transformed the ancient world and still inspire the realms of science, mathematics, philosophy and the arts. Einstein said that the most incredible thing about our universe was that it was comprehensible at all. As Kitty Ferguson explains, Pythagoras had much the same idea - but 2,500 years earlier. Though known by many only for his famous Theorem, in fact the pillars of our scientific tradition - belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos - hark back to the convictions of this legendary scholar. Kitty Ferguson brilliantly evokes Pythagoras' ancient world of, showing how ideas spread in antiquity, and chronicles the incredible influence he and his followers have had on so many extraordinary people in the history of Western thought and science. 'Pythagoras' influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him' - Arthur Koestler.
Though known today primarily for the mathematical theorem that bears his name, Pythagoras was a mystically-minded philosopher with a particular interest in music, astronomy, cosmology, numerology, and the soul. This book paints a vivid picture of the world in which Pythagoras lived—and since the philosopher was so widely travelled that includes Greek, Egyptian, and Babylonian civilization in the sixth century BCE. Along with chapters discussing Pythagoras’s life and beliefs, as well as the lifestyle he advocated, there is a timeline listing important events from his life.
Human civilization recognizes that there is a boundary between the past and the present, a boundary that delineates the time when society began to emerge out of the diaphanous clouds of mythology and recognize that people lived in a world in which nature and thought, and not the impulsive, retributive acts of the gods, determined the course of the world's direction. It's no surprise that this dividing line between tale and truth first emerged with the Greeks, those lovers of logic, experiment, and argument, as they first gained traction on the slippery slope of human curiosity. Pythagoras, an Ionian Greek, is perhaps the first person to describe himself as a philosopher, a lover of wisdom or, as he defined it, one who attempts to know. Because of his influence on the philosopher Plato, Pythagoras is recognized as a crucial building block in the evolution of Western thought. His contributions to the fields of mathematics, philosophy, music and the sciences are acknowledged as influences which have endured long after his time of influence in the sixth century BCE. In the world of the intellect, the Greeks were heavy hitters and many names have traveled through the centuries, continuing to teach and enlighten us about the universe on a grand scale and our humble selves, on a much less grand, but no less significant, level. Philosophy taught human beings that the unexamined life was not worth living. His colleagues in philosophy turned self-examination into an art and a science, delving deep into human motivation, purpose, and existence. The Greeks ignited a fire of learning in the Ancient World. They were not the only civilization to bestow their intellect upon posterity, but it's a mark of their legacy that centuries after their time of glory, they are still regarded as a high water mark of human achievement. Why, exactly, they were so renowned as the brainiacs of the globe can be attributed to a variety of things, but what is certain is that even when mightier powers such as Rome conquered them, the Romans prized their learning, spreading it throughout their own mighty empire. The seeds of Greek learning were planted in fields far from Athens and eventually would spread across the Mediterranean Sea to become the foundation of Western culture as we know it.
For centuries the world has been misled about the original source of the Arts and Sciences; for centuries Socrates, Plato and Aristotle have been falsely idolized as models of intellectual greatness; and for centuries the African continent has been called the Dark Continent, because Europe coveted the honor of transmitting to the world, the Arts and Sciences. It is indeed surprising how, for centuries, the Greeks have been praised by the Western World for intellectual accomplishments which belong without a doubt to the Egyptians or the peoples of North Africa.
In this text, Marcel Danesi presents a historical overview of the ten greatest achievements in mathematics, and dynamically explores their importance and effects on our daily lives.
No one who has ever lived has contributed more to the progress of mankind than Pythagoras. Without question the wisest man who ever lived, he was the first Greek to be called by the name of philosopher.
The celebrated mathematician and philosopher Pythagoras left no writings. But what if he had and the manuscript was never found? Where would it be located? And what information would it reveal? These questions are the inspiration for the mathematical mystery novel Pythagoras' Revenge. Suspenseful and instructive, Pythagoras' Revenge weaves fact, fiction, mathematics, computer science, and ancient history into a surprising and sophisticated thriller. The intrigue begins when Jule Davidson, a young American mathematician who trolls the internet for difficult math riddles and stumbles upon a neo-Pythagorean sect searching for the promised reincarnation of Pythagoras. Across the ocean, Elmer Galway, a professor of classical history at Oxford, discovers an Arabic manuscript hinting at the existence of an ancient scroll--possibly left by Pythagoras himself. Unknown to one another, Jule and Elmer each have information that the other requires and, as they race to solve the philosophical and mathematical puzzles set before them, their paths ultimately collide. Set in 1998 with flashbacks to classical Greece, Pythagoras' Revenge investigates the confrontation between opposing views of mathematics and reality, and explores ideas from both early and cutting-edge mathematics. From academic Oxford to suburban Chicago and historic Rome, Pythagoras' Revenge is a sophisticated thriller that will grip readers from beginning to surprising end.
The enthralling story of Pythagoras and the Pythagoreans, whose insights transformed the ancient world and still inspire the realms of science, mathematics, philosophy, and the arts. "Pythagoras's influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him," wrote Arthur Koestler. Though most people know of him only for the famous Pythagorean Theorem (a2 +b2=c2), in fact the pillars of our scientific tradition-belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos-hark back to the convictions of this legendary sixth-century B.C. scholar. Born around 570 B.C. on the cultured Aegean island of Samos, Pythagoras (according to ancient tales) studied with the sage Thales nearby at Miletus, and with priests and scribes in Egypt and Babylon. Eventually he founded his own school at Croton in southern Italy, where he and his followers began to unravel the surprising deep truths concealed behind such ordinary tasks as tuning a lyre. While considering why some string lengths produced beautiful sounds and others discordant ones, they uncovered the ratios of musical harmony, and recognized that hidden behind the confusion and complexity of nature are patterns and orderly relationships. They had surprised the Creator at his drafting board and had glimpsed the mind of God! Some of them later would also find something darker in numbers and nature: irrationality, a revelation so unsettling and subversive that it may have contributed to the destruction of their brotherhood.
For the first time, the reader can have a synoptic view of the reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance, East and West, in a multicultural perspective. All the major themes of Pythagoreanism are addressed, from mathematics, number philosophy and metaphysics to ethics and religious thought.