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 |