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Mathematical physics --- 517.1 --- Mathematical analysis --- Advanced calculus --- Analysis (Mathematics) --- Algebra --- Introduction to analysis --- Mathematical analysis. --- 517.1 Mathematical analysis --- 517.1 Introduction to analysis --- 517.1.

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Matrices-S [Theorie des ] --- S-matrix theory --- S-matrixtheorie --- Physics --- -Physics --- -S-matrix theory --- Scattering matrix --- Matrix mechanics --- Quantum field theory --- Scattering (Physics) --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Methodology --- Philosophy --- S-matrix theory. --- Physics - Philosophy. --- Physics - Methodology.

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One of the major philosophical problems in physical sciences is what criteria should determine how scientific theories are selected and justified in practice and whether, in describing observable physical phenomena, such theories are effectively constrained to be unique. This book studies the example of a particular theory, the S-matrix theory. The S-matrix program was initiated by Heisenberg to deal with difficulties encountered in quantum field theories in describing particular phenomena. Since then, each theory has at different times been favoured as the explanation of observed phenomena. Certainly the S-matrix theory was adequate, feasible and fertile. However, the quantum field theory interpretation is now widely accepted and the study of alternative theories is all but abandoned. By examining the philosophy which influenced the turns in this story, the author explains how an adequate and viable theory fell out of favour and concludes with a critique of different methodologies in the history of science. This book will be of value to both philosophers of science and physicists interested in the philosophical background to their field.

S-matrix theory --- Physics --- Physics

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This book examines a selection of philosophical issues in the context of specific episodes in the development of physical theories. Advances in science are presented against the historical and philosophical backgrounds in which they occurred. A major aim is to impress upon the reader the essential role that philosophical considerations have played in the actual practice of science. The book begins with some necessary introduction to the history of ancient and early modern science, with major emphasis being given to the two great watersheds of twentieth-century physics: relativity and, especially, quantum mechanics. At times the term 'construction' may seem more appropriate than 'discovery' for the way theories have developed and, especially in the later chapters, the question of the influence of historical, philosophical and even social factors on the very form and content of scientific theories is discussed.

Physics --- Science --- Philosophy. --- History.

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Quantum theory --- -Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Mathematics --- Mathematics. --- -Mathematics