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Mathematical Structures of the Universe

Mathematical Structures of the Universe
Author: Michał Eckstein
Publisher:
Total Pages: 0
Release: 2014
Genre: Cosmology
ISBN: 9788378861072

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This book contains a collection of essays on mathematical structures that serve to model the Universe. The contributions discuss such topics as the interplay between mathematics and physics, geometrical structures in physical models, and observational and conceptual aspects of cosmology. The reader can also contemplate the scientific method on the verge of its limits. [Subject: Physics, Mathematics, Cosmology, Natural Philosophy]


Our Mathematical Universe

Our Mathematical Universe
Author: Max Tegmark
Publisher: Vintage
Total Pages: 434
Release: 2015-02-03
Genre: Science
ISBN: 0307744256

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Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.


Structures in the Universe by Exact Methods

Structures in the Universe by Exact Methods
Author: Krzysztof Bolejko
Publisher: Cambridge University Press
Total Pages: 257
Release: 2010
Genre: Science
ISBN: 0521769140

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Reviews developments in applications of inhomogeneous models to cosmology, for graduate students and academic researchers in astrophysics.


The Large Scale Structure of Space-Time

The Large Scale Structure of Space-Time
Author: S. W. Hawking
Publisher: Cambridge University Press
Total Pages: 406
Release: 1975-02-27
Genre: Science
ISBN: 1139810952

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Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.


A Beginner's Guide to Constructing the Universe

A Beginner's Guide to Constructing the Universe
Author: Michael S. Schneider
Publisher: Harper Collins
Total Pages: 523
Release: 2014-04-01
Genre: Science
ISBN: 0062043161

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Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us. But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe, Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals. Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance. This book is an education in the world and everything we can't see within it. Contains numerous b&w photos and illustrations.


Ten Patterns That Explain the Universe

Ten Patterns That Explain the Universe
Author: Brian Clegg
Publisher: National Geographic Books
Total Pages: 0
Release: 2021-09-28
Genre: Science
ISBN: 0262542862

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How patterns--from diagrams of spacetime to particle trails revealed by supercolliders--offer clues to the fundamental workings of the physical world. Our universe might appear chaotic, but deep down it's simply a myriad of rules working independently to create patterns of action, force, and consequence. In Ten Patterns That Explain the Universe, Brian Clegg explores the phenomena that make up the very fabric of our world by examining ten essential sequenced systems. From diagrams that show the deep relationships between space and time to the quantum behaviors that rule the way that matter and light interact, Clegg shows how these patterns provide a unique view of the physical world and its fundamental workings. Guiding readers on a tour of our world and the universe beyond, Clegg describes the cosmic microwave background, sometimes called the "echo of the big bang," and how it offers clues to the universe's beginnings; the diagrams that illustrate Einstein's revelation of the intertwined nature of space and time; the particle trail patterns revealed by the Large Hadron Collider and other accelerators; and the simple-looking patterns that predict quantum behavior (and decorated Richard Feynman's van). Clegg explains how the periodic table reflects the underlying pattern of the configuration of atoms, discusses the power of the number line, demonstrates the explanatory uses of tree diagrams, and more.


An Introduction to Mathematical Cosmology

An Introduction to Mathematical Cosmology
Author: Jamal N. Islam
Publisher: Cambridge University Press
Total Pages: 266
Release: 2002
Genre: Mathematics
ISBN: 9780521499736

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An introductory textbook on mathematical cosmology for beginning graduate students.


Poetry of the Universe

Poetry of the Universe
Author: Robert Osserman
Publisher: Anchor
Total Pages: 236
Release: 2011-04-27
Genre: Science
ISBN: 0307790584

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In the bestselling literary tradition of Lewis Thomas's Lives of a Cell and James Watson's The Double Helix, Poetry of the Universe is a delightful and compelling narrative charting the evolution of mathematical ideas that have helped to illuminate the nature of the observable universe. In a richly anecdotal fashion, the book explores teh leaps of imagination and vision in mathematics that have helped pioneer our understanding of the world around us.


Puzzles to Unravel the Universe

Puzzles to Unravel the Universe
Author: Cumrun Vafa
Publisher:
Total Pages: 333
Release: 2020-06-08
Genre:
ISBN:

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Beneath all of the complex and formidable mathematical structures that formulate physical laws rest simple but deep nuggets of truth. It is these simple truths, and not the complicated technical details, that scientists strive for when uncovering the laws of nature. Fortunately, these core ideas can often be illustrated with simple mathematical puzzles. These puzzles are so simplified that one can tackle them and appreciate their meaning without using any complicated math. This book aims to take the reader on a journey to unravel the laws of the universe through fun puzzles. This book includes over a hundred puzzles and their solutions, along with discussion about how they relate to deep ideas in physics and math. Examples are drawn from classical physics, such as Newton's laws and Einstein's theory of relativity, as well as from modern physics, including black holes and string theory. This book is designed for the general public, and it does not require extensive background in mathematics or physics--just a sense of curiosity! About the Author: Cumrun Vafa is the Hollis Professor of Mathematicks and Natural Philosophy in the Physics Department at Harvard University, where he has been teaching and researching theoretical physics since 1985. Professor Vafa is world-renowned for his groundbreaking work in string theory. He is one of the founders of the duality revolution in string theory, which has reshaped our understanding of the fundamental laws of the universe. Professor Vafa has received numerous prizes and recognitions for his work on theoretical physics, including the 2017 Breakthrough Prize in Fundamental Physics and the 2008 Dirac Medal from the ICTP. For more information about the author see his website: https://www.cumrunvafa.org/ .