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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.


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.


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.


The Shape of Inner Space

The Shape of Inner Space
Author: Shing-Tung Yau
Publisher: Il Saggiatore
Total Pages: 398
Release: 2010-09-07
Genre: Mathematics
ISBN: 0465020232

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


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.


Information and the Internal Structure of the Universe

Information and the Internal Structure of the Universe
Author: Tom Stonier
Publisher: Springer Science & Business Media
Total Pages: 156
Release: 2012-12-06
Genre: Computers
ISBN: 1447132653

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Not so if the book has been translated into Arabic. Now the reader can discern no meaning in the letters. The text conveys almost no information to the reader, yet the linguistic informa tion contained by the book is virtually the same as in the English original. The reader, familiar with books will still recognise two things, however: First, that the book is a book. Second, that the squiggles on the page represent a pattern of abstractions which probably makes sense to someone who understands the mean ing of those squiggles. Therefore, the book as such, will still have some meaning for the English reader, even if the content of the text has none. Let us go to a more extreme case. Not a book, but a stone, or a rock with engravings in an ancient language no longer under stood by anyone alive. Does such a stone not contain human information even if it is not decipherable? Suppose at some point in the future, basic knowledge about linguistics and clever computer aids allow us to decipher it? Or suppose someone discovers the equivalent of a Rosetta stone which allows us to translate it into a known language, and then into English? Can one really say that the stone contained no information prior to translation? It is possible to argue that the stone, prior to deciphering contained only latent information.