Foundations Of Metric Affine Geometry

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Metric Affine Geometry
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Author : Ernst Snapper
language : en
Publisher: Elsevier
Release Date : 2014-05-10
Metric Affine Geometry written by Ernst Snapper and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Metric Affine Geometry focuses on linear algebra, which is the source for the axiom systems of all affine and projective geometries, both metric and nonmetric. This book is organized into three chapters. Chapter 1 discusses nonmetric affine geometry, while Chapter 2 reviews inner products of vector spaces. The metric affine geometry is treated in Chapter 3. This text specifically discusses the concrete model for affine space, dilations in terms of coordinates, parallelograms, and theorem of Desargues. The inner products in terms of coordinates and similarities of affine spaces are also elaborated. The prerequisites for this publication are a course in linear algebra and an elementary course in modern algebra that includes the concepts of group, normal subgroup, and quotient group. This monograph is suitable for students and aspiring geometry high school teachers.
Foundations Of Metric Affine Geometry
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Author : Michał Muzalewski
language : en
Publisher:
Release Date : 1990
Foundations Of Metric Affine Geometry written by Michał Muzalewski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
New Foundations For Physical Geometry
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Author : Tim Maudlin
language : en
Publisher:
Release Date : 2014-02
New Foundations For Physical Geometry written by Tim Maudlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02 with Mathematics categories.
Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.
Foundations Of Space Time Theories
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Author : John Earman
language : en
Publisher: U of Minnesota Press
Release Date : 1977-11-25
Foundations Of Space Time Theories written by John Earman and has been published by U of Minnesota Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-11-25 with Science categories.
Foundations of Space-Time Theories was first published in 1977. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The essays in this volume are based on the papers given at a conference on the philosophical aspects of the space-time theory held under the auspices of the Minnesota Center for Philosophy of Science.
Fundamentals Of Signal Processing In Metric Spaces With Lattice Properties
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Author : Andrey Popoff
language : en
Publisher: CRC Press
Release Date : 2017-11-03
Fundamentals Of Signal Processing In Metric Spaces With Lattice Properties written by Andrey Popoff and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-03 with Mathematics categories.
Exploring the interrelation between information theory and signal processing theory, the book contains a new algebraic approach to signal processing theory. Readers will learn this new approach to constructing the unified mathematical fundamentals of both information theory and signal processing theory in addition to new methods of evaluating quality indices of signal processing. The book discusses the methodology of synthesis and analysis of signal processing algorithms providing qualitative increase of signal processing efficiency under parametric and nonparametric prior uncertainty conditions. Examples are included throughout the book to further emphasize new material.
One Hundred Years Of General Relativity From Genesis And Empirical Foundations To Gravitational Waves Cosmology And Quantum Gravity Volume 1
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Author : Wei-tou Ni
language : en
Publisher: World Scientific
Release Date : 2017-05-26
One Hundred Years Of General Relativity From Genesis And Empirical Foundations To Gravitational Waves Cosmology And Quantum Gravity Volume 1 written by Wei-tou Ni and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-26 with Science categories.
The aim of this two-volume title is to give a comprehensive review of one hundred years of development of general relativity and its scientific influences. This unique title provides a broad introduction and review to the fascinating and profound subject of general relativity, its historical development, its important theoretical consequences, gravitational wave detection and applications to astrophysics and cosmology. The series focuses on five aspects of the theory: The first three topics are covered in Volume 1 and the remaining two are covered in Volume 2. While this is a two-volume title, it is designed so that each volume can be a standalone reference volume for the related topic.
Foundations Of Measurement Geometrical Threshold And Probabilistic Representations
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Author : Patrick Suppes
language : en
Publisher: Courier Corporation
Release Date : 2007-01-01
Foundations Of Measurement Geometrical Threshold And Probabilistic Representations written by Patrick Suppes and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.
All of the sciences―physical, biological, and social―have a need for quantitative measurement. This influential series, Foundations of Measurement, established the formal foundations for measurement, justifying the assignment of numbers to objects in terms of their structural correspondence. Volume I introduces the distinct mathematical results that serve to formulate numerical representations of qualitative structures. Volume II extends the subject in the direction of geometrical, threshold, and probabilistic representations, and Volume III examines representation as expressed in axiomatization and invariance.
University Of Michigan Official Publication
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Author :
language : en
Publisher: UM Libraries
Release Date : 1961
University Of Michigan Official Publication written by and has been published by UM Libraries this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Education, Higher categories.
Encyclopaedia Of Mathematics
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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Encyclopaedia Of Mathematics written by Michiel Hazewinkel 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 2013-12-01 with Mathematics categories.
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
From Riemann To Differential Geometry And Relativity
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Author : Lizhen Ji
language : en
Publisher: Springer
Release Date : 2017-10-03
From Riemann To Differential Geometry And Relativity written by Lizhen Ji and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-03 with Mathematics categories.
This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann’s work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.