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Author: Hans Reichenbach Publisher: Courier Corporation ISBN: 9780486604435 Category : Science Languages : en Pages : 340
Book Description
With unusual depth and clarity, it covers the problem of the foundations of geometry, the theory of time, the theory and consequences of Einstein's relativity including: relations between theory and observations, coordinate definitions, relations between topological and metrical properties of space, the psychological problem of the possibility of a visual intuition of non-Euclidean structures, and many other important topics in modern science and philosophy. While some of the book utilizes mathematics of a somewhat advanced nature, the exposition is so careful and complete that most people familiar with the philosophy of science or some intermediate mathematics will understand the majority of the ideas and problems discussed. Partial CONTENTS: I. The Problem of Physical Geometry. Universal and Differential Forces. Visualization of Geometries. Spaces with non-Euclidean Topological Properties. Geometry as a Theory of Relations. II. The Difference between Space and Time. Simultaneity. Time Order. Unreal Sequences. Ill. The Problem of a Combined Theory of Space and Time. Construction of the Space-Time Metric. Lorentz and Einstein Contractions. Addition Theorem of Velocities. Principle of Equivalence. Einstein's Concept of the Problems of Rotation and Gravitation. Gravitation and Geometry. Riemannian Spaces. The Singular Nature of Time. Spatial Dimensions. Reality of Space and Time.
Author: Hans Reichenbach Publisher: Courier Corporation ISBN: 9780486604435 Category : Science Languages : en Pages : 340
Book Description
With unusual depth and clarity, it covers the problem of the foundations of geometry, the theory of time, the theory and consequences of Einstein's relativity including: relations between theory and observations, coordinate definitions, relations between topological and metrical properties of space, the psychological problem of the possibility of a visual intuition of non-Euclidean structures, and many other important topics in modern science and philosophy. While some of the book utilizes mathematics of a somewhat advanced nature, the exposition is so careful and complete that most people familiar with the philosophy of science or some intermediate mathematics will understand the majority of the ideas and problems discussed. Partial CONTENTS: I. The Problem of Physical Geometry. Universal and Differential Forces. Visualization of Geometries. Spaces with non-Euclidean Topological Properties. Geometry as a Theory of Relations. II. The Difference between Space and Time. Simultaneity. Time Order. Unreal Sequences. Ill. The Problem of a Combined Theory of Space and Time. Construction of the Space-Time Metric. Lorentz and Einstein Contractions. Addition Theorem of Velocities. Principle of Equivalence. Einstein's Concept of the Problems of Rotation and Gravitation. Gravitation and Geometry. Riemannian Spaces. The Singular Nature of Time. Spatial Dimensions. Reality of Space and Time.
Author: Harald Mey Publisher: Routledge ISBN: 1317651871 Category : Social Science Languages : en Pages : 347
Book Description
This is an important account of the development of the ‘field-theory’ approach in the social sciences. Harald Mey concentrates on the writers from the 1930s to the present day who have used this approach to the study of the individual and of society, and gives a clear exposition of such ‘field-theory’ application in its many differing forms. In addition, the author shows how a concept which was initially useful in the physical sciences came to be used first by psychologists, and subsequently by sociologists and others in related disciplines, in their search for answers to the problems presented by the study of society. Mey describes how the use of the ‘field-theory’ perspective has fared when applied to specific areas of social research – education, personal relationships, group behaviour. He also compares the ‘field-theory’ approach to the study of societies with the structural/functional approach, and explains why he believes ‘field-theory’ has a number of advantages over the structural/functional approach, especially when it comes to the dynamic problem of social change.
Author: Erhard Scholz Publisher: Birkhäuser ISBN: 3034882785 Category : Mathematics Languages : en Pages : 406
Book Description
Historical interest and studies of Weyl's role in the interplay between 20th-century mathematics, physics and philosophy have been increasing since the middle 1980s, triggered by different activities at the occasion of the centenary of his birth in 1985, and are far from being exhausted. The present book takes Weyl's "Raum - Zeit - Materie" (Space - Time - Matter) as center of concentration and starting field for a broader look at his work. The contributions in the first part of this volume discuss Weyl's deep involvement in relativity, cosmology and matter theories between the classical unified field theories and quantum physics from the perspective of a creative mind struggling against theories of nature restricted by the view of classical determinism. In the second part of this volume, a broad and detailed introduction is given to Weyl's work in the mathematical sciences in general and in philosophy. It covers the whole range of Weyl's mathematical and physical interests: real analysis, complex function theory and Riemann surfaces, elementary ergodic theory, foundations of mathematics, differential geometry, general relativity, Lie groups, quantum mechanics, and number theory.
Author: Hans Reichenbach
Author: Hans Reichenbach
Author: 
Author: Paul M. Waszink
Author: British Museum
Author: British Museum. Department of Printed Books
Author: 
Author: James Mark Baldwin
Author: Harald Mey
Author: Erhard Scholz
Author: Lev D. Beklemishev