The Analytical Theory of Heat by Joseph Fourier is an attempt to make this translated work by Alexander Freeman availabe on PlanetPhysics. The chapters are derivatives from the public domain work in [1].

Analytical Theory of heat chapter 1

Chapter 1: Introduction

I. Statement of the Object of the Work
II. Preliminary definitions and general notions
III. Principle of the communication of heat
IV. On the uniform and linear movement of heat
V. Law of the permanent temperatures in a prism of small thickness
VI. On the heating of closed spaces
VII. On the uniform movement of heat in three dimensions
VIII. Measure of the movement of heat at a given point of a solid mass

Analytical Theory of Heat chapter 2

Chapter 2: Equation of the Movement of Heat

I. Equation of the Varied Movement of Heat in a Ring
II. Equation of the Varied Movement of Heat in a Solid Sphere
III. Equation of the Varied Movement of Heat in a Solid Cylinder
IV. Equations of the Varied Movement of Heat in a Solid Prism of Infinite Length
V. Equation of the Varied Movement of Heat in a Solid Cube
VI. General Equation of the Propagation of Heat in the Interior of Solids
VII. General Equation Relative to the Surface
VIII. Application of the General Equation
IX. General Remarks

Analytical Theory of Heat chapter 3

Chapter 3: Propagation of Heat in an Infinite Rectangular Solid

I. Statement of the Problem
II. First Example of the use of Trigonometric Series in the Theory of Heat
III. Remarks on these Series
IV. General Solution
V. Finite Expression of the Result of the Solution
VI. Development of an Arbitrary function in Trigonometric Series
VII. Application to the Actual Problem

Analytical Theory of Heat chapter 4

Chapter 4: Of the Linear and Varied Movement of Heat in a Ring

I. General Solution of the Problem
II. Of the Communication of Heat Between Separate Masses

Analytical Theory of Heat chapter 5

Chapter 5: Of the Propagation of Heat in a solid sphere

I. General Solution
II. Different Remarks on this Solution

Analytical Theory of Heat chapter 6

Chapter 6: Of the Movement of Heat in a solid cylinder

Analytical Theory of Heat chapter 7

Chapter 7: Propagation of Heat in a Rectangular Prism

Analytical Theory of Heat chapter 8

Chapter 8: Of The Movement of Heat in a Solid Cube

Analytical Theory of Heat chapter 9

Chapter 9: Of the Diffusion of Heat

I. Of the Free Movement of Heat in a Infinite Line
II. Of the Free Movement of Heat in a Infinite Solid
III. The Highest Temperatures in an Infinite Solid
IV. Comparison of the Integrals

[1] Fourier, Joseph. "The Analytcal Theory of Heat" Translation by Alexander Freeman, Cambridge: At the University Press, London, 1878.