The Shape of Inner Space

The Shape of Inner Space PDF Author: Shing-Tung Yau
Publisher: Il Saggiatore
ISBN: 0465020232
Category : Mathematics
Languages : en
Pages : 398

Book Description
The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.

The Shape of a Life

The Shape of a Life PDF Author: Shing-Tung Yau
Publisher: Yale University Press
ISBN: 0300245521
Category : Science
Languages : en
Pages : 449

Book Description
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

Center of the Cyclone

Center of the Cyclone PDF Author: John Lilly
Publisher: Ronin Publishing
ISBN: 9781579511036
Category : Psychology
Languages : en
Pages : 250

Book Description
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.

Dreamtime & Inner Space

Dreamtime & Inner Space PDF Author: Holger Kalweit
Publisher: Shambhala
ISBN:
Category : Body, Mind & Spirit
Languages : en
Pages : 326

Book Description
Collection of reports from men and women who have taken mystical journeys in an altered state of consciousness.

The Poincare Conjecture

The Poincare Conjecture PDF Author: Donal O'Shea
Publisher: Bloomsbury Publishing USA
ISBN: 0802718949
Category : Mathematics
Languages : en
Pages : 306

Book Description
Henri Poincaré was one of the greatest mathematicians of the late nineteenth and early twentieth century. He revolutionized the field of topology, which studies properties of geometric configurations that are unchanged by stretching or twisting. The Poincaré conjecture lies at the heart of modern geometry and topology, and even pertains to the possible shape of the universe. The conjecture states that there is only one shape possible for a finite universe in which every loop can be contracted to a single point. Poincaré's conjecture is one of the seven "millennium problems" that bring a one-million-dollar award for a solution. Grigory Perelman, a Russian mathematician, has offered a proof that is likely to win the Fields Medal, the mathematical equivalent of a Nobel prize, in August 2006. He also will almost certainly share a Clay Institute millennium award. In telling the vibrant story of The Poincaré Conjecture, Donal O'Shea makes accessible to general readers for the first time the meaning of the conjecture, and brings alive the field of mathematics and the achievements of generations of mathematicians whose work have led to Perelman's proof of this famous conjecture.

Human Dimension and Interior Space

Human Dimension and Interior Space PDF Author: Julius Panero
Publisher: Watson-Guptill
ISBN: 0770434606
Category : Architecture
Languages : en
Pages : 322

Book Description
The study of human body measurements on a comparative basis is known as anthropometrics. Its applicability to the design process is seen in the physical fit, or interface, between the human body and the various components of interior space. Human Dimension and Interior Space is the first major anthropometrically based reference book of design standards for use by all those involved with the physical planning and detailing of interiors, including interior designers, architects, furniture designers, builders, industrial designers, and students of design. The use of anthropometric data, although no substitute for good design or sound professional judgment should be viewed as one of the many tools required in the design process. This comprehensive overview of anthropometrics consists of three parts. The first part deals with the theory and application of anthropometrics and includes a special section dealing with physically disabled and elderly people. It provides the designer with the fundamentals of anthropometrics and a basic understanding of how interior design standards are established. The second part contains easy-to-read, illustrated anthropometric tables, which provide the most current data available on human body size, organized by age and percentile groupings. Also included is data relative to the range of joint motion and body sizes of children. The third part contains hundreds of dimensioned drawings, illustrating in plan and section the proper anthropometrically based relationship between user and space. The types of spaces range from residential and commercial to recreational and institutional, and all dimensions include metric conversions. In the Epilogue, the authors challenge the interior design profession, the building industry, and the furniture manufacturer to seriously explore the problem of adjustability in design. They expose the fallacy of designing to accommodate the so-called average man, who, in fact, does not exist. Using government data, including studies prepared by Dr. Howard Stoudt, Dr. Albert Damon, and Dr. Ross McFarland, formerly of the Harvard School of Public Health, and Jean Roberts of the U.S. Public Health Service, Panero and Zelnik have devised a system of interior design reference standards, easily understood through a series of charts and situation drawings. With Human Dimension and Interior Space, these standards are now accessible to all designers of interior environments.

Breathing Space

Breathing Space PDF Author: Gregg Mitman
Publisher: Yale University Press
ISBN: 0300138326
Category : Science
Languages : en
Pages : 330

Book Description
Allergy is the sixth leading cause of chronic illness in the United States. More than fifty million Americans suffer from allergies, and they spend an estimated $18 billion coping with them. Yet despite advances in biomedicine and enormous investment in research over the past fifty years, the burden of allergic disease continues to grow. Why have we failed to reverse this trend? Breathing Space offers an intimate portrait of how allergic disease has shaped American culture, landscape, and life. Drawing on environmental, medical, and cultural history and the life stories of people, plants, and insects, Mitman traces how America’s changing environment from the late 1800s to the present day has led to the epidemic growth of allergic disease. We have seen a never-ending stream of solutions to combat allergies, from hay fever resorts, herbicides, and air-conditioned homes to numerous potions and pills. But, as Mitman shows, despite the quest for a magic bullet, none of the attempted solutions has succeeded. Until we address how our changing environment—physical, biological, social, and economic—has helped to create America’s allergic landscape, that hoped-for success will continue to elude us.

Timeless Reality

Timeless Reality PDF Author: Victor J. Stenger
Publisher: Prometheus Books
ISBN: 1615922288
Category : Science
Languages : en
Pages : 396

Book Description
A professor of physics and astronomy studies a theory that time is reversible, and explains how physicists have generally been reluctant to accept the reversibility of time because of the implied causal paradoxes. Illustrations.

A History in Sum

A History in Sum PDF Author: Steve Nadis
Publisher: Harvard University Press
ISBN: 0674727894
Category : Mathematics
Languages : en
Pages : 272

Book Description
In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard’s mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics—in algebraic geometry and topology, complex analysis, number theory, and a host of esoteric subdisciplines that have rarely been written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics—an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce’s successors—William Fogg Osgood and Maxime Bôcher—undertook the task of transforming the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Birkhoff produced a dazzling body of work, while training a generation of innovators—students like Marston Morse and Hassler Whitney, who forged novel pathways in topology and other areas. Influential figures from around the world soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.
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