Joseph Fourier, 1768-1830 : a survey of his life and work, based on a critical edition of his monograph on the propagation of heat, presented to the Institut de France in 1807

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Joseph Fourier, 1768-1830 : a survey of his life and work, based on a critical edition of his monograph on the propagation of heat, presented to the Institut de France in 1807 / I. Grattan-Guinness, in collaboration with J.R. Ravetz

資料種別:

図書

出版情報:

Cambridge : MIT Press, c1972

形態:

x, 516 p. ; 27 cm

著者名:

ISBN:

9780262070416 [0262070413]

書誌ID:

BA06392621

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

その他の標題:

Théorie de la propagation de la chaleur dans les solides
Théorie analytique de la chaleur

注記:

Includes Fourier's original unpublished text of 1807 with title: Théorie de la propagation de la chaleur dans les solides. The first separately published version appeared in 1822 under title: Théorie analytique de la chaleur
Bibliography: p. [491]-502
Includes indexes

主題:

Fourier, Jean Baptiste Joseph, baron, 1768-1830; Heat

言語:

英語; フランス語

目次情報:

Introduction

Acknowledgments

Abbreviations of Titles of Key Works by Fourier

Twin Careers: Public Servant and Mathematician / 1：

Editing Fourier's Manuscript / 2：

First Steps: Heat Diffusion between Disjoint Bodies / 3：

Heat Diffusion in Continuous Bodies: A Clue from Blot / 4：

Heat Diffusion in Continuous Bodies: The Appearance of Partial Differential Equations / 5：

Progress with the Lamina: Separation of the Variables and the Appearance of Infinite Trigonometric Series / 6：

The Fourier Coefficients for Particular Series and the Convergence Problem / 7：

The Special Solution for the Lamina / 8：

Sine and Cosine Series for an Arbitrary Function / 9：

Fourier's Reflections on the Vibrating String Problem / 10：

Solution for the Annulus: The Full Fourier Series for an Arbitrary Function / 11：

Fourier's Reflections on His n-Body Analysis / 12：

Progress with the Sphere: A New Problem from External Heat Diffusion / 13：

Solution for the Sphere: "Nonharmonic" Series Solutions / 14：

Progress with the Cylinder: The Use of the Theory of Equations / 15：

Solution for the Cylinder: The Appearance of Transcendental Functions / 16：

A New Diffusion Problem for the Sphere / 17：

Steady-State Diffusion in the Rectangular Prism / 18：

Time-Dependent Diffusion in the Cube / 19：

Fourier's Experimental Work / 20：

Scientific Progress and Political Difficulties / 21：

Paris: The Final Years / 22：

Bibliography

Plates

Name Index

Subject Index

Introduction

Acknowledgments

Abbreviations of Titles of Key Works by Fourier

Twin Careers: Public Servant and Mathematician / 1：

Editing Fourier's Manuscript / 2：

First Steps: Heat Diffusion between Disjoint Bodies / 3：

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