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René Descartes (1596—1650) is one of the towering and central figures in Western philosophy and mathematics. His apothegm “Cogito, ergo sum” marked the birth of the mind-body problem, while his creation of so-called Cartesian coordinates has made our intellectual conquest of physical space possible. But Descartes had a mysterious and mystical side, as well. Almost certainly a member of the occult brotherhood of the Rosicrucians, he kept a secret notebook, now lost, most of which was written in code. After Descartes’s death, Gottfried Leibniz, inventor of calculus and one of the greatest mathematicians of all time, moved to Paris in search of this notebook–and eventually found it in the possession of Claude Clerselier, a friend of Descartes’s. Liebniz called on Clerselier and was allowed to copy only a couple of pages–which, though written in code, he amazingly deciphered there on the spot. Liebniz’s hastily scribbled notes are all we have today of Descartes’s notebook. Why did Descartes keep a secret notebook, and what were its contents? The answers to these questions will lead the reader on an exciting, swashbuckling journey, and offer a fascinating look at one of the great figures of Western culture.
René Descartes (1596â€"1650) is one of the towering and central figures in Western philosophy and mathematics. His apothegm “Cogito, ergo sum†marked the birth of the mind-body problem, while his creation of so-called Cartesian coordinates has made our intellectual conquest of physical space possible. But Descartes had a mysterious and mystical side, as well. Almost certainly a member of the occult brotherhood of the Rosicrucians, he kept a secret notebook, now lost, most of which was written in code. After Descartes's death, Gottfried Leibniz, inventor of calculus and one of the greatest mathematicians of all time, moved to Paris in search of this notebookâ€"and eventually found it in the possession of Claude Clerselier, a friend of Descartes's. Liebniz called on Clerselier and was allowed to copy only a couple of pagesâ€"which, though written in code, he amazingly deciphered there on the spot. Liebniz's hastily scribbled notes are all we have today of Descartes's notebook. Why did Descartes keep a secret notebook, and what were its contents? The answers to these questions will lead the reader on an exciting, swashbuckling journey, and offer a fascinating look at one of the great figures of Western culture.
René Descartes (1596–1650) is one of the towering and central figures in Western philosophy and mathematics. His apothegm “Cogito, ergo sum” marked the birth of the mind-body problem, while his creation of so-called Cartesian coordinates have made our physical and intellectual conquest of physical space possible. But Descartes had a mysterious and mystical side, as well. Almost certainly a member of the occult brotherhood of the Rosicrucians, he kept a secret notebook, now lost, most of which was written in code. After Descartes’s death, Gottfried Leibniz, inventor of calculus and one of the greatest mathematicians in history, moved to Paris in search of this notebook—and eventually found it in the possession of Claude Clerselier, a friend of Descartes. Leibniz called on Clerselier and was allowed to copy only a couple of pages—which, though written in code, he amazingly deciphered there on the spot. Leibniz’s hastily scribbled notes are all we have today of Descartes’s notebook, which has disappeared. Why did Descartes keep a secret notebook, and what were its contents? The answers to these questions lead Amir Aczel and the reader on an exciting, swashbuckling journey, and offer a fascinating look at one of the great figures of Western culture.
A compelling narrative that blends the story of infinity with the tragic tale of a tormented and brilliant mathematician.
In a provocative and practical look at modern stress, Seeking Serenity offers an empowering new message: Stress can serve as a guide to living our happiest and healthiest lives. In Seeking Serenity, stress columnist Amanda Enayati challenges our long-held assumptions about stress, painting a groundbreaking picture that separates myth from reality when it comes to what is commonly referred to as the plague of modern life. Weaving together stories, research from science, history, philosophy and diverse faiths, and everyday exercises, she crafts a fascinating tale that begins with the behind-the-scenes machinations of corporate villains and ends in the power of our stories to shape our realities. We are living in an era of dramatic highs and lows, with lives that move at a pace and intensity impossible at any other time in history. These contradictions throw us off-kilter, out of harmony and balance, creating what we perceive as never-ending and destructive cycles of stress. But life itself has always been—and will always be—a series of fluctuations: the good days, the bad days, the excruciating days. The key to mastering stress lies in the way we experience it. Seeking Serenity presents ten revolutionary principles developed from the emerging science of stress and reinforced by literature, philosophy and age-old spiritual wisdom that help us to differentiate between destructive and constructive stress, and to master stress in the everyday by learning how to: Shift our perceptions to interpret inevitable challenges in a way that serves us better; Embrace a narrative that casts stress as a pathway to adaptation and growth; and Commit to breaks, buffers, and protective practices that will minimize and neutralize the adverse impacts of toxic stress. Drawing on extensive research and remarkable case studies, Seeking Serenity presents a clear and accessible action plan to achieving more joyful and productive lives, stronger communities and a better world.
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Nicolas Bourbaki, whose mathematical publications began to appear in the late 1930s and continued to be published through most of the twentieth century, was a direct product as well as a major force behind an important revolution that took place in the early decades of the twentieth century that completely changed Western culture. Pure mathematics, the area of Bourbaki's work, seems on the surface to be an abstract field of human study with no direct connection with the real world. In reality, however, it is closely intertwined with the general culture that surrounds it. Major developments in mathematics have often followed important trends in popular culture; developments in mathematics have acted as harbingers of change in the surrounding human culture. The seeds of change, the beginnings of the revolution that swept the Western world in the early decades of the twentieth century -- both in mathematics and in other areas -- were sown late in the previous century. This is the story both of Bourbaki and the world that created him in that time. It is the story of an elaborate intellectual joke -- because Bourbaki, one of the foremost mathematicians of his day -- never existed.
Dealing with cosmology, this book reveals astronomical observations that indicate the presence of a previously unknown force in the universe. It explains, in accessible terms, Einstein's theories and his development of the cosmological constant.
Is there a way to get students to love math? Dr. Judy Willis responds with an emphatic yes in this informative guide to getting better results in math class. Tapping into abundant research on how the brain works, Willis presents a practical approach for how we can improve academic results by demonstrating certain behaviors and teaching students in a way that minimizes negativity. With a straightforward and accessible style, Willis shares the knowledge and experience she has gained through her dual careers as a math teacher and a neurologist. In addition to learning basic brain anatomy and function, readers will learn how to * Improve deep-seated negative attitudes toward math. * Plan lessons with the goal of "achievable challenge" in mind. * Reduce mistake anxiety with techniques such as errorless math and estimation. * Teach to different individual learning strengths and skill levels. * Spark motivation. * Relate math to students' personal interests and goals. * Support students in setting short-term and long-term goals. * Convince students that they can change their intelligence. With dozens of strategies teachers can use right now, Learning to Love Math puts the power of research directly into the hands of educators. A Brain Owner's Manual, which dives deeper into the structure and function of the brain, is also included—providing a clear explanation of how memories are formed and how skills are learned. With informed teachers guiding them, students will discover that they can build a better brain . . . and learn to love math!
This work presents a portrait of Nietzsche as the skeptic par excellence in the modern period, by demonstrating how a careful and informed understanding of ancient Pyrrhonism illuminates his reflections on truth, knowledge and morality, as well as the very nature and value of philosophic inquiry.