Geometry Geodesics And The Universe

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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.

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 Britannica Guide To Geometry

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Author : Britannica Educational Publishing
language : en
Publisher: Britannica Educational Publishing
Release Date : 2010-04-01

The Britannica Guide To Geometry written by Britannica Educational Publishing and has been published by Britannica Educational Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-01 with Juvenile Nonfiction categories.

More than a study of shapes and angles, geometry reflects an amalgamation of discoveries over time. This book not only provides readers with a comprehensive understanding of geometric shapes, axioms, and formulas, it presents the field’s brilliant minds—from Euclid to Wendelin Werner and many in between—whose works reflect a progression of mathematical thought throughout the centuries and have helped produce the various branches of geometry as they are known today. Detailed diagrams illustrate various concepts and help make geometry accessible to all.

Geometry

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Author : Nicholas Faulkner
language : en
Publisher: Encyclopaedia Britannica
Release Date : 2017-12-15

Geometry written by Nicholas Faulkner and has been published by Encyclopaedia Britannica this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-15 with Juvenile Nonfiction categories.

The field of geometry reflects a conglomeration of discoveries over time. Filled with detailed diagrams, this insightful volume offers serious students a comprehensive understanding of the fundamentals of geometry, including geometric shapes, axioms, and formulas. In addition, it covers some of the field's most illustrious minds, from Euclid to Wendelin Werner, figures who have helped produce the various branches of geometry as we know them today. This enlightening volume will help students understand the principles of geometry, and also the fascinating story behind the numbers.

Frontiers In Number Theory Physics And Geometry Ii

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Author : Pierre E. Cartier
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-18

Frontiers In Number Theory Physics And Geometry Ii written by Pierre E. Cartier 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 2007-07-18 with Mathematics categories.

Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three parts, it covers Conformal Field Theories, Discrete Groups, and Renormalization, offering extended versions of the lecture courses and shorter texts on special topics.

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.

The Search For Ultralight Bosonic Dark Matter

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Author : Derek F. Jackson Kimball
language : en
Publisher: Springer Nature
Release Date : 2022-09-28

The Search For Ultralight Bosonic Dark Matter written by Derek F. Jackson Kimball and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-28 with Science categories.

A host of astrophysical measurements suggest that most of the matter in the Universe is an invisible, nonluminous substance that physicists call “dark matter.” Understanding the nature of dark matter is one of the greatest challenges of modern physics and is of paramount importance to our theories of cosmology and particle physics. This text explores one of the leading hypotheses to explain dark matter: that it consists of ultralight bosons forming an oscillating field that feebly interacts with light and matter. Many new experiments have emerged over the last decade to test this hypothesis, involving state-of-the-art microwave cavities, precision nuclear magnetic resonance (NMR) measurements, dark matter “radios,” and synchronized global networks of atomic clocks, magnetometers, and interferometers. The editors have gathered leading experts from around the world to present the theories motivating these searches, evidence about dark matter from astrophysics, and the diverse experimental techniques employed in searches for ultralight bosonic dark matter. The text provides a comprehensive and accessible introduction to this blossoming field of research for advanced undergraduates, beginning graduate students, or anyone new to the field, with tutorials and solved problems in every chapter. The multifaceted nature of the research – combining ideas and methods from atomic, molecular, and optical physics, nuclear physics, condensed matter physics, electrical engineering, particle physics, astrophysics, and cosmology – makes this introductory approach attractive for beginning researchers as well as members of the broader scientific community. This is an open access book.

Geometry

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Author : John Tabak
language : en
Publisher: Infobase Publishing
Release Date : 2014-05-14

Geometry written by John Tabak and has been published by Infobase Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Electronic books categories.

Greek ideas about geometry, straight-edge and compass constructions, and the nature of mathematical proof dominated mathematical thought for about 2,000 years.

Arithmetic Noncommutative Geometry

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Author : Matilde Marcolli
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Arithmetic Noncommutative Geometry written by Matilde Marcolli and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

Arithmetic Noncommutative Geometry uses ideas and tools from noncommutative geometry to address questions in a new way and to reinterpret results and constructions from number theory and arithmetic algebraic geometry. This general philosophy is applied to the geometry and arithmetic of modular curves and to the fibers at Archimedean places of arithmetic surfaces and varieties. Noncommutative geometry can be expected to say something about topics of arithmetic interest because it provides the right framework for which the tools of geometry continue to make sense on spaces that are very singular and apparently very far from the world of algebraic varieties. This provides a way of refining the boundary structure of certain classes of spaces that arise in the context of arithmetic geometry. With a foreword written by Yuri Manin and a brief introduction to noncommutative geometry, this book offers a comprehensive account of the cross fertilization between two important areas, noncommutative geometry and number theory. It is suitable for graduate students and researchers interested in these areas.

The Book Of Physics Volume 2

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Author : Simone Malacrida
language : en
Publisher: BookRix
Release Date : 2023-04-18

The Book Of Physics Volume 2 written by Simone Malacrida and has been published by BookRix this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-18 with Science categories.

In this book, the great history of physics discoveries is traced, starting from the scientific revolution of Galileo and Newton to the physics of today and the near future. The understanding of physics is approached both from a theoretical point of view, expounding the definitions of each particular field and the assumptions underlying each theory, and on a practical level, going on to solve more than 350 exercises related to physics problems of all sorts. The approach to physics is given by progressive knowledge, exposing the various chapters in a logical order so that the reader can build a continuous path in the study of that science. The entire book is divided into five distinct sections: classical physics, the scientific revolutions that took place in the early twentieth century, physics of the microcosm, physics of the macrocosm, and finally current problems that are the starting point for the physics of the future. The paper stands as an all-encompassing work concerning physics, leaving out no aspect of the many facets it can take on.