The language of physics : the calculus and the development of theoretical physics in Europe, 1750-1914

書誌事項

The language of physics : the calculus and the development of theoretical physics in Europe, 1750-1914

Elizabeth Garber

Springer science+Business Media, 2001, c1999

  • : pbk

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注記

"Softcover reprint of the hardcover 1st edition 2001"--T.p. verso

Includes bibliographical references (p. [363]-366) and index

内容説明・目次

内容説明

This work is the first explicit examination of the key role that mathematics has played in the development of theoretical physics and will undoubtedly challenge the more conventional accounts of its historical development. Although mathematics has long been regarded as the "language" of physics, the connections between these independent disciplines have been far more complex and intimate than previous narratives have shown. The author convincingly demonstrates that practices, methods, and language shaped the development of the field, and are a key to understanding the mergence of the modern academic discipline. Mathematicians and physicists, as well as historians of both disciplines, will find this provocative work of great interest.

目次

I: Introduction.- Mathematics and Modern Physics.- Modern Physics.- Earlier Historical Approaches to Modern Physics.- Mathematics as Language.- Organization of the Text.- I: Eighteenth-Century Science.- II: Vibrating Strings and Eighteenth-Century Mechanics.- Mathematics from Physics.- Ignoring Physics.- Eighteenth-Century Mechanics and the History of Physics.- III: Eighteenth-Century Physics and Mathematics: A Reassessment.- Physics as Experimental Philosophy.- The Practice of Mathematics.- The Intellectual Geography of Physics and Mathematics.- The Social Geography of Physics and Mathematics.- II: Transitions, 1790-1830.- IV: "Empirical Literalism": Mathematical Versus Experimental Physics in France, 1790-1830.- Changes in Social Geography, 1790-1830.- Experimental Physics.- Electricity and Magnetism.- Heat.- Light and Elasticity.- French Mathematics and Physics c. 1830: Some Conclusions.- V: On the Margins: Experimental Physics and Mathematics in the German States, 1790-1830.- Prologue.- Physics and Mathematics in the German States, 1790-1830.- University Reform and Career Opportunities.- Changes in Physics in the 1820s.- Changes in Mathematics in the 1820s.- VI: On the Margins: Experimental Philosophy and Mathematics in Britain, 1790-1830.- Social Institutions.- Natural Philosophy and the Universities.- Intellectual Organization of Research, 1800-1820.- Mathematics in Britain, 1790-1820.- Natural Philosophy and Mathematics in the 1820s.- III: Transformations, 1830-1870.- VII: From Natural Philosophy and "Mixed Mathematics" to Theoretical and Experimental Physics: Britain, 1830-1870.- Keywords.- The Crucial Turn: the 1830s.- Cambridge University, the Cambridge Mathematical Journal, and Theoretical Physics.- William Thomson.- George Gabriel Stokes.- James Clerk Maxwell.- VIII: Physics and Mathematics in the German States, 1830-1870.- Mathematical Physics as Mathematics.- The Transformation of Physics: The First Generation.- Franz Neumann.- Wilhelm Weber.- Clausius and Helmholtz.- IV: Conclusions and Epilogue.- IX: Physics About 1870 and the "Decline" of French Physics.- The "Decline" of French Physics.- Some Conclusions.- X: Epilogue: Forging New Relationships: 1870-1914.- The Limitations of Autonomy.- Mathematics in Physics.- Beyond the Calculus.- Physicists Versus Mathematicians.

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