Foundations of Special Relativity: Kinematic Axioms for Minkowski Space-Time

Foundations of Special Relativity: Kinematic Axioms for Minkowski Space-Time
Title Foundations of Special Relativity: Kinematic Axioms for Minkowski Space-Time PDF eBook
Author J. W. Schutz
Publisher Springer
Pages 334
Release 2006-11-15
Genre Mathematics
ISBN 3540379061

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The aim of this monograph is to give an axiomatic development of Einstein's theory of special relativity from axioms which describe intuitive concepts concerning the kinematic behavior of inertial particles and light signals.

Lecture Notes in Mathematics

Lecture Notes in Mathematics
Title Lecture Notes in Mathematics PDF eBook
Author Albrecht Dold
Publisher
Pages 200
Release 1964
Genre Mathematics
ISBN

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Independent Axioms for Minkowski Space-Time

Independent Axioms for Minkowski Space-Time
Title Independent Axioms for Minkowski Space-Time PDF eBook
Author John W Schutz
Publisher CRC Press
Pages 260
Release 1997-10-08
Genre Science
ISBN 9780582317604

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The primary aim of this monograph is to clarify the undefined primitive concepts and the axioms which form the basis of Einstein's theory of special relativity. Minkowski space-time is developed from a set of independent axioms, stated in terms of a single relation of betweenness. It is shown that all models are isomorphic to the usual coordinate model, and the axioms are consistent relative to the reals.

On the Way to Understanding the Time Phenomenon

On the Way to Understanding the Time Phenomenon
Title On the Way to Understanding the Time Phenomenon PDF eBook
Author A. P. Levich
Publisher World Scientific
Pages 226
Release 1995
Genre Science
ISBN 9789810213602

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The subject of this book is time, one of the small number of elusive essences of the world, unsubdued by human will. The three global problems of natural science, those of the origin of the Universe, life and consciousness, cannot be solved without finding out the nature of time. Without a good construction of time it is impossible to describe, to qualify, to forecast and to control various processes in the animate and inanimate nature. Special attention is paid to the ways of adequate inclusion of the properties of time in the derivation of the fundamental equations of motion for natural systems.

Foundations of Measurement

Foundations of Measurement
Title Foundations of Measurement PDF eBook
Author Patrick Suppes
Publisher Elsevier
Pages 510
Release 2014-06-28
Genre Social Science
ISBN 1483295036

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Foundations of Measurement offers the most coherently organized treatment of the topics and issues central to measurement. Much of the research involved has been scattered over several decades and a multitude of journals--available in many instances only to specialties. With the publication of Volumes two and three of this important work, Foundations of Measurement is the most comprehensive presentation in the area of measurement.

On The Way To Understanding The Time Phenomenon: The Constructions Of Time In Natural Science, Part 1

On The Way To Understanding The Time Phenomenon: The Constructions Of Time In Natural Science, Part 1
Title On The Way To Understanding The Time Phenomenon: The Constructions Of Time In Natural Science, Part 1 PDF eBook
Author A P Levich
Publisher World Scientific
Pages 215
Release 1995-06-30
Genre Science
ISBN 9814504343

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The subject of this book is time, one of the small number of elusive essences of the world, unsubdued by human will. The three global problems of natural science, those of the origin of the Universe, life and consciousness, cannot be solved without finding out the nature of time. Without a good construction of time it is impossible to describe, to qualify, to forecast and to control various processes in the animate and inanimate nature. Special attention is paid to the ways of adequate inclusion of the properties of time in the derivation of the fundamental equations of motion for natural systems.

Foundations of Measurement: Geometrical, threshold, and probabilistic representations

Foundations of Measurement: Geometrical, threshold, and probabilistic representations
Title Foundations of Measurement: Geometrical, threshold, and probabilistic representations PDF eBook
Author Patrick Suppes
Publisher Courier Corporation
Pages 514
Release 2007-01-01
Genre Mathematics
ISBN 0486453154

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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.