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The Shape of Inner Space by Shing-Tung Yau,Steve Nadis Pdf
String theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe. Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau's penetrating thinking on where we've been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.
The Shape of a Life by Shing-Tung Yau,Steve Nadis Pdf
A Fields medalist recounts his lifelong effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe. Harvard geometer Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics. “The remarkable story of one of the world’s most accomplished mathematicians . . . Yau’s personal journey—from escaping China as a youngster, leading a gang outside Hong Kong, becoming captivated by mathematics, to making breakthroughs that thrust him on the world stage—inspires us all with humankind’s irrepressible spirit of discovery.” —Brian Greene, New York Times–bestselling author of The Elegant Universe “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.” —The Boston Globe “Engaging, eminently readable. . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.” —American Scientist
The Poincaré Conjecture tells the story behind one of the world’s most confounding mathematical theories. Formulated in 1904 by Henri Poincaré, his Conjecture promised to describe the very shape of the universe, but remained unproved until a huge prize was offered for its solution in 2000. Six years later, an eccentric Russian mathematician had the answer. Here, Donal O’Shea explains the maths behind the Conjecture and its proof, and illuminates the curious personalities surrounding this perplexing conundrum, along the way taking in a grand sweep of scientific history from the ancient Greeks to Christopher Columbus. This is an enthralling tale of human endeavour, intellectual brilliance and the thrill of discovery.
In this long-out-of-print counterculture classic, Dr. John C. Lilly takes readers behind the scenes into the inner life of a scientist exploring inner space, or “far-out spaces,” as Lilly called them. The book explains how he derived his theory of the operations of the human mind and brain from his personal experiences and experiments in solitude, isolation, and confinement; LSD; and other methods of mystical experience. It also includes glimpses into Lilly's friendship with such 1960s' notables as Oscar Ichazo, Ram Dass, Timothy Leary, Albert Hofmann, Fritz Perls, and Claudio Narajo. Written for the non-specialist, Center of the Cyclone shows an important, modern thinker at his most personal and profound.
Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
How a simple equation reshaped mathematics Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who’s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem’s development, Euler’s Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.
Awakening to the Fifth Dimension by Kimberly Meredith Pdf
Elevate your consciousness and heal your life. In Awakening to the Fifth Dimension, author Kimberly Meredith offers readers something truly revolutionary—a new dimension of healing. Discovering her healing gifts after two near death experiences in 2013, she is now one of the most in-demand medical intuitive healers in the nation, traveling the country to speak at events, appearing at major consciousness and global virtual events, and offering healing to those who so desperately in need. Here in these pages, Kimberly shares her gift for the first time with a wider audience, giving readers the tools to implement this healing in their own lives. Whether you are wrestling with chronic illness, seemingly untreatable symptoms, or other mental, emotional, or physical ailments, Kimberly’s gentle wisdom offers a way forward towards happiness and freedom. Filled with instruction, case studies, testimonials, nutritional advice, and practical methods to raise your consciousness Awakening to the Fifth Dimension will empower readers to confront their own health struggles and find true, lasting healing.
Nine Designs for Inner Peace by Sarah Tomlinson Pdf
A complete guide to creating planetary yantras to access their healing and centering benefits • Provides easy-to-follow instructions to create the yantras • Serves as an introduction to active meditation, which focuses the mind while the body is engaged in a meditative activity The tantric art of drawing or painting the nine designs known as yantras is an ancient practice of active meditation that releases positive healing and centering effects. Each of the nine designs corresponds to one of the nine qualities of body and mind essential to well-being: radiance, nourishment, passion, intellect, expansion, bliss, organization, uniqueness, and spirituality. From the basic elements of the square, the circle, and the triangle, dynamic visual meditations unfold as the practitioner works clockwise from the outer elements inward toward the central point of stillness, or bindu, the source of happiness within. An accompanying mantra is recited while preparing each yantra to fully engage the senses in the meditative process. Creating the design that “speaks” most to the practitioner enables its unique healing quality to be transmitted. For example, working on the yantra named “Radiance” cultivates optimism and the self-confidence to succeed in one’s endeavors, while “radiating,” or imparting, one’s inner light to others. This workbook provides an important resource for active meditation, a practice revered for its effectiveness in revealing the spiritual underpinnings of everyday life. The active participation of the body in meditation while creating the nine planetary yantras raises to the level of spiritual ritual the practitioner’s intention toward wakefulness and gives access to profound states of healing integration.
Public and Private Spaces of the City by Ali Madanipour Pdf
The relationship between public and private spheres is one of the key concerns of the modern society. This book investigates this relationship, especially as manifested in the urban space with its social and psychological significance. Through theoretical and historical examination, it explores how and why the space of human socities is subdivided into public and private sections. It starts with the private, interior space of the mind and moves step by step, through the body, home, neighborhood and the city, outwards to the most public, impersonal spaces, exploring the nature of each realm and their complex, interdependent realtionships. A stimulating and thought provoking book for any architect, architectural historian, urban planner or designer.
House of Lords and Commons by Ishion Hutchinson Pdf
A stunning collection that traverses the borders of culture and time, from the 2011 winner of the PEN/Joyce Osterweil Award In House of Lords and Commons, the revelatory and vital new collection of poems from the winner of the 2013 Whiting Writers’ Award in poetry, Ishion Hutchinson returns to the difficult beauty of the Jamaican landscape with remarkable lyric precision. Here, the poet holds his world in full focus but at an astonishing angle: from the violence of the seventeenth-century English Civil War as refracted through a mythic sea wanderer, right down to the dark interior of love. These poems arrange the contemporary continuum of home and abroad into a wonderment of cracked narrative sequences and tumultuous personae. With ears tuned to the vernacular, the collection vividly binds us to what is terrifying about happiness, loss, and the lure of the sea. House of Lords and Commons testifies to the particular courage it takes to wade unsettled, uncertain, and unfettered in the wake of our shared human experience.