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
The Shape of a Life
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
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
The Shape of a Life
Author: Shing-Tung Yau
Publisher: Yale University Press
ISBN: 0300235909
Category : Biography & Autobiography
Languages : en
Pages : 327
Book Description
A Fields medalist recounts his lifelong transnational effort to uncover the geometric shape--the Calabi-Yau manifold--that may store the hidden dimensions of our universe. Harvard geometer and Fields medalist 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 readers 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.
Publisher: Yale University Press
ISBN: 0300235909
Category : Biography & Autobiography
Languages : en
Pages : 327
Book Description
A Fields medalist recounts his lifelong transnational effort to uncover the geometric shape--the Calabi-Yau manifold--that may store the hidden dimensions of our universe. Harvard geometer and Fields medalist 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 readers 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 Shape of Inner Space
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.
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.
Shape
Author: Jordan Ellenberg
Publisher: Penguin
ISBN: 1984879065
Category : Mathematics
Languages : en
Pages : 481
Book Description
An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.
Publisher: Penguin
ISBN: 1984879065
Category : Mathematics
Languages : en
Pages : 481
Book Description
An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.
Marx's Fate
Author: Jerrold Seigel
Publisher: Penn State Press
ISBN: 0271044683
Category : Biography & Autobiography
Languages : en
Pages : 465
Book Description
Marx&’s Fate is an intellectual biography of Marx that combines historical, textual and psychological analyses to provide major new insights into the philosopher&’s writings and development.
Publisher: Penn State Press
ISBN: 0271044683
Category : Biography & Autobiography
Languages : en
Pages : 465
Book Description
Marx&’s Fate is an intellectual biography of Marx that combines historical, textual and psychological analyses to provide major new insights into the philosopher&’s writings and development.
Shape of a Boy
Author: Kate Wickers
Publisher: Aurum Press
ISBN: 0711267170
Category : Biography & Autobiography
Languages : en
Pages : 273
Book Description
Shape of a Boy is a hilarious memoir of one family's travels across the world, filled with funny anecdotes from exotic locations.
Publisher: Aurum Press
ISBN: 0711267170
Category : Biography & Autobiography
Languages : en
Pages : 273
Book Description
Shape of a Boy is a hilarious memoir of one family's travels across the world, filled with funny anecdotes from exotic locations.
Circles and Lines
Author: John Demos
Publisher: Harvard University Press
ISBN: 0674034198
Category : History
Languages : en
Pages : 113
Book Description
In this intimate, engaging book, John Demos offers an illuminating portrait of how colonial Americans, from the first settlers to the postrevolutionary generation, viewed their life experiences. He also offers an invaluable inside look into the craft of a master social historian as he unearths--in sometimes unexpected places--fragments of evidence that help us probe the interior lives of people from the faraway past. The earliest settlers lived in a traditional world of natural cycles that shaped their behavior: day and night; seasonal rhythms; the lunar cycle; the life cycle itself. Indeed, so basic were these elements that "almost no one felt a need to comment on them." Yet he finds cyclical patterns--in the seasonal foods they ate, in the spike in marriages following the autumn harvest. Witchcraft cases reveal the different emotional reactions to day versus night, as accidental mishaps in the light become fearful nighttime mysteries. During the transitional world of the American Revolution, people began to see their society in newer terms but seemed unable or unwilling to come to terms with that novelty. Americans became new, Demos points out, before they fully understood what it meant. Their cyclical frame of reference was coming unmoored, giving way to a linear world view in early nineteenth-century America that is neatly captured by Kentucky doctor Daniel Drake's description of the chronography of his life. In his meditation on these three worlds, Demos brilliantly demonstrates how large historical forces are reflected in individual lives. With the imaginative insights and personable touch that we have come to expect from this fine chronicler of the human condition, "Circles and Lines" is vintage John Demos.
Publisher: Harvard University Press
ISBN: 0674034198
Category : History
Languages : en
Pages : 113
Book Description
In this intimate, engaging book, John Demos offers an illuminating portrait of how colonial Americans, from the first settlers to the postrevolutionary generation, viewed their life experiences. He also offers an invaluable inside look into the craft of a master social historian as he unearths--in sometimes unexpected places--fragments of evidence that help us probe the interior lives of people from the faraway past. The earliest settlers lived in a traditional world of natural cycles that shaped their behavior: day and night; seasonal rhythms; the lunar cycle; the life cycle itself. Indeed, so basic were these elements that "almost no one felt a need to comment on them." Yet he finds cyclical patterns--in the seasonal foods they ate, in the spike in marriages following the autumn harvest. Witchcraft cases reveal the different emotional reactions to day versus night, as accidental mishaps in the light become fearful nighttime mysteries. During the transitional world of the American Revolution, people began to see their society in newer terms but seemed unable or unwilling to come to terms with that novelty. Americans became new, Demos points out, before they fully understood what it meant. Their cyclical frame of reference was coming unmoored, giving way to a linear world view in early nineteenth-century America that is neatly captured by Kentucky doctor Daniel Drake's description of the chronography of his life. In his meditation on these three worlds, Demos brilliantly demonstrates how large historical forces are reflected in individual lives. With the imaginative insights and personable touch that we have come to expect from this fine chronicler of the human condition, "Circles and Lines" is vintage John Demos.
The Geometry of Wealth
Author: Brian Portnoy
Publisher: Jaico Publishing House
ISBN: 8196150768
Category : Business & Economics
Languages : en
Pages : 222
Book Description
HOW DOES MONEY HELP IN CREATING A HAPPY LIFE? In The Geometry of Wealth, behavioral finance expert Brian Portnoy delivers an inspired answer based on the idea that wealth, truly defined, is funded contentment. It is the ability to underwrite a meaningful life. This stands in stark contrast to angling to become rich, which is usually an unsatisfying treadmill. At the heart of this groundbreaking perspective, Portnoy takes readers on a journey toward wealth, informed by disciplines ranging from ancient history to modern neuroscience. He contends that tackling the big questions about a joyful life and tending to financial decisions are complementary, not separate, tasks. These big questions include: • How is the human brain wired for two distinct experiences of happiness? And why can money “buy” one but not the other? • Why is being market savvy among the least important aspects of creating wealth but self-awareness among the most? • Can we strike a balance between pushing for more and being content with enough? This journey memorably contours along three basic shapes: A circle, triangle, and square help us visualize how we adapt to evolving circumstances, set clear priorities, and find empowerment in simplicity. In this accessible and entertaining book, Portnoy reveals that true wealth is achievable for many—including those who despair it is out of reach—but only in the context of a life in which purpose and practice are thoughtfully calibrated.
Publisher: Jaico Publishing House
ISBN: 8196150768
Category : Business & Economics
Languages : en
Pages : 222
Book Description
HOW DOES MONEY HELP IN CREATING A HAPPY LIFE? In The Geometry of Wealth, behavioral finance expert Brian Portnoy delivers an inspired answer based on the idea that wealth, truly defined, is funded contentment. It is the ability to underwrite a meaningful life. This stands in stark contrast to angling to become rich, which is usually an unsatisfying treadmill. At the heart of this groundbreaking perspective, Portnoy takes readers on a journey toward wealth, informed by disciplines ranging from ancient history to modern neuroscience. He contends that tackling the big questions about a joyful life and tending to financial decisions are complementary, not separate, tasks. These big questions include: • How is the human brain wired for two distinct experiences of happiness? And why can money “buy” one but not the other? • Why is being market savvy among the least important aspects of creating wealth but self-awareness among the most? • Can we strike a balance between pushing for more and being content with enough? This journey memorably contours along three basic shapes: A circle, triangle, and square help us visualize how we adapt to evolving circumstances, set clear priorities, and find empowerment in simplicity. In this accessible and entertaining book, Portnoy reveals that true wealth is achievable for many—including those who despair it is out of reach—but only in the context of a life in which purpose and practice are thoughtfully calibrated.
The Shape of Death Life Death and Immortality in the Early Fathers
Author: Professor Jaroslav Pelikan
Publisher: Palala Press
ISBN: 9781355741824
Category :
Languages : en
Pages : 132
Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Publisher: Palala Press
ISBN: 9781355741824
Category :
Languages : en
Pages : 132
Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Shape of Life
Author: Rudolf A. Raff
Publisher: University of Chicago Press
ISBN: 022625657X
Category : Science
Languages : en
Pages : 545
Book Description
Rudolf Raff is recognized as a pioneer in evolutionary developmental biology. In their 1983 book, Embryos, Genes, and Evolution, Raff and co-author Thomas Kaufman proposed a synthesis of developmental and evolutionary biology. In The Shape of Life, Raff analyzes the rise of this new experimental discipline and lays out new research questions, hypotheses, and approaches to guide its development. Raff uses the evolution of animal body plans to exemplify the interplay between developmental mechanisms and evolutionary patterns. Animal body plans emerged half a billion years ago. Evolution within these body plans during this span of time has resulted in the tremendous diversity of living animal forms. Raff argues for an integrated approach to the study of the intertwined roles of development and evolution involving phylogenetic, comparative, and functional biology. This new synthesis will interest not only scientists working in these areas, but also paleontologists, zoologists, morphologists, molecular biologists, and geneticists.
Publisher: University of Chicago Press
ISBN: 022625657X
Category : Science
Languages : en
Pages : 545
Book Description
Rudolf Raff is recognized as a pioneer in evolutionary developmental biology. In their 1983 book, Embryos, Genes, and Evolution, Raff and co-author Thomas Kaufman proposed a synthesis of developmental and evolutionary biology. In The Shape of Life, Raff analyzes the rise of this new experimental discipline and lays out new research questions, hypotheses, and approaches to guide its development. Raff uses the evolution of animal body plans to exemplify the interplay between developmental mechanisms and evolutionary patterns. Animal body plans emerged half a billion years ago. Evolution within these body plans during this span of time has resulted in the tremendous diversity of living animal forms. Raff argues for an integrated approach to the study of the intertwined roles of development and evolution involving phylogenetic, comparative, and functional biology. This new synthesis will interest not only scientists working in these areas, but also paleontologists, zoologists, morphologists, molecular biologists, and geneticists.