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The Geometry Of The Universe


The Geometry Of The Universe
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The Geometry Of The Universe


The Geometry Of The Universe
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Author : Colin Rourke
language : en
Publisher: World Scientific
Release Date : 2021-06-03

The Geometry Of The Universe written by Colin Rourke and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-03 with Science categories.


Cosmology, the study of the universe, arouses a great deal of public interest, with serious articles both in the scientific press and in major newspapers, with many of the theories and concepts (e.g. the 'big bang' and 'black holes') discussed, often in great depth.Accordingly the book is divided into three parts:Part 1 is readable (and understandable) by anyone with a nodding acquaintance with the basic language of cosmology: events, lights paths, galaxies, black holes and so on. It covers the whole story of the book in a way as untechnical as possible given the scope of the topics covered.Part 2 covers the same ground again but with enough technical details to satisfy a reader with basic knowledge of mathematics and/or physics.Part 3 consists of appendices which are referred to in the other parts and which also contain the highly technical material omitted from Section 2.



The Shape Of Inner Space


The Shape Of Inner Space
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Author : Shing-Tung Yau
language : en
Publisher: Hachette UK
Release Date : 2010-09-07

The Shape Of Inner Space written by Shing-Tung Yau and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-07 with Science categories.


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.



Geometry With An Introduction To Cosmic Topology


Geometry With An Introduction To Cosmic Topology
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Author : Michael P. Hitchman
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2009

Geometry With An Introduction To Cosmic Topology written by Michael P. Hitchman and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


The content of Geometry with an Introduction to Cosmic Topology is motivated by questions that have ignited the imagination of stargazers since antiquity. What is the shape of the universe? Does the universe have and edge? Is it infinitely big? Dr. Hitchman aims to clarify this fascinating area of mathematics. This non-Euclidean geometry text is organized intothree natural parts. Chapter 1 provides an overview including a brief history of Geometry, Surfaces, and reasons to study Non-Euclidean Geometry. Chapters 2-7 contain the core mathematical content of the text, following the ErlangenProgram, which develops geometry in terms of a space and a group of transformations on that space. Finally chapters 1 and 8 introduce (chapter 1) and explore (chapter 8) the topic of cosmic topology through the geometry learned in the preceding chapters.



The Biggest Ideas In The Universe


The Biggest Ideas In The Universe
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Author : Sean Carroll
language : en
Publisher: Penguin
Release Date : 2022-09-20

The Biggest Ideas In The Universe written by Sean Carroll and has been published by Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-20 with Science categories.


INSTANT NEW YORK TIMES BESTSELLER “Most appealing... technical accuracy and lightness of tone... Impeccable.”—Wall Street Journal “A porthole into another world.”—Scientific American “Brings science dissemination to a new level.”—Science The most trusted explainer of the most mind-boggling concepts pulls back the veil of mystery that has too long cloaked the most valuable building blocks of modern science. Sean Carroll, with his genius for making complex notions entertaining, presents in his uniquely lucid voice the fundamental ideas informing the modern physics of reality. Physics offers deep insights into the workings of the universe but those insights come in the form of equations that often look like gobbledygook. Sean Carroll shows that they are really like meaningful poems that can help us fly over sierras to discover a miraculous multidimensional landscape alive with radiant giants, warped space-time, and bewilderingly powerful forces. High school calculus is itself a centuries-old marvel as worthy of our gaze as the Mona Lisa. And it may come as a surprise the extent to which all our most cutting-edge ideas about black holes are built on the math calculus enables. No one else could so smoothly guide readers toward grasping the very equation Einstein used to describe his theory of general relativity. In the tradition of the legendary Richard Feynman lectures presented sixty years ago, this book is an inspiring, dazzling introduction to a way of seeing that will resonate across cultural and generational boundaries for many years to come.



Mathematics Today Twelve Informal Essays


Mathematics Today Twelve Informal Essays
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Author : L.A. Steen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematics Today Twelve Informal Essays written by L.A. Steen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The objective of the present book of essays is to convey to the intelligent nonmathematician something of the nature, development, and use of mathe matical concepts, particularly those that have found application in current scientific research. The idea of assembling such a volume goes back at least to 1974, when it was discussed by the then-newly-formed Joint Projects Committee for Mathematics (JPCM) of the American Mathematical Soci ety, the Mathematical Association of America, and the Society for Indus trial and Applied Mathematics. Currently, the nine members of the JPCM are Saunders Mac Lane (Chairman) of the University of Chicago, Frederick J. Almgren, Jr. of Princeton University, Richard D. Anderson of Louisiana State University, George E. Carrier of Harvard University, Hirsh G. Cohen ofthe International Business Machines Corporation, Richard C. DiPrima of Rensselaer Polytechnic Institute, Robion C. Kirby of the University of California at Berkeley, William H. Kruskal of the University of Chicago, and George D. Mostow of Yale University. The JPCM decided to make production of this volume its first major proj ect and requested the Conference Board of the Mathematical Sciences (CBMS), of which its three sponsoring societies are all member organiza tions, to approach the National Science Foundation on its behalffor support of the undertaking. A proposal submitted by the C BMS in December 1974 and in revised form in July 1975 was granted by the Foundation in May 1976, and work on assembling the volume got under way.



The Geometry Of Life


The Geometry Of Life
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-02

The Geometry Of Life written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-02 with Mathematics categories.


Geometry is more than just shapes and formulas; it is a language of patterns and relationships that offers a unique perspective on the world around us. This comprehensive book takes readers on an enthralling journey through the fascinating world of geometry, revealing its profound influence on diverse fields, including architecture, design, art, science, technology, nature, cognition, philosophy, literature, and music. Discover how geometry shapes our built environment, from the awe-inspiring pyramids of Giza to the intricate designs of modern skyscrapers. Explore the geometric patterns found in nature, from the delicate symmetry of snowflakes to the intricate arrangement of leaves on a plant stem. Delve into the role of geometry in art and design, where geometric forms convey beauty, harmony, and meaning. Learn how geometry plays a crucial role in science and technology, enabling us to understand the structure of atoms, design efficient algorithms, and navigate the vastness of space. Immerse yourself in the fascinating world of geometry in philosophy and metaphysics, where geometric ideas have been used to explore the nature of reality and the concept of space. Unravel the connections between geometry and human cognition, uncovering the role of geometric reasoning in spatial orientation, problem-solving, and language acquisition. Explore the interplay between geometry and literature, where geometric imagery and symbolism add depth and meaning to stories and poems. Discover the harmonious relationship between geometry and music, where geometric principles underlie musical composition and the physics of sound. This book is an invitation to see the world through the lens of geometry, to appreciate its beauty, power, and ubiquity. With captivating explanations, stunning visuals, and thought-provoking insights, this book will leave readers in awe of the elegance and wonder of geometry in all its forms. If you like this book, write a review!



Sacred Geometry And The Creation Of The Universe


Sacred Geometry And The Creation Of The Universe
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Author : Mark Amaru Pinkham
language : en
Publisher: Heartlight Fellowship
Release Date : 2018-08-08

Sacred Geometry And The Creation Of The Universe written by Mark Amaru Pinkham and has been published by Heartlight Fellowship this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-08 with Philosophy categories.


The classic Sacred Geometrical forms are explained as representations of the successive steps in the creation of the universe.



The Shape Of Space


The Shape Of Space
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Author : Jeffrey R. Weeks
language : en
Publisher: CRC Press
Release Date : 2001-12-12

The Shape Of Space written by Jeffrey R. Weeks and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-12 with Mathematics categories.


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.



The Shape Of A Life


The Shape Of A Life
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Author : Shing-Tung Yau
language : en
Publisher: Yale University Press
Release Date : 2019-02-19

The Shape Of A Life written by Shing-Tung Yau and has been published by Yale University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-19 with Science categories.


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



A Beginner S Guide To Constructing The Universe


A Beginner S Guide To Constructing The Universe
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Author : Michael S. Schneider
language : en
Publisher: HarperCollins Publishers
Release Date : 1994

A Beginner S Guide To Constructing The Universe written by Michael S. Schneider and has been published by HarperCollins Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.


An imaginative tour of the numbers one through ten that illustrates how they consistently recur in everything from nature, technology, art, and science to mythology and the unconscious in archetypal patterns and principles. Richly illustrated with computer graphics and classical art.