The Analytical Theory of Heat by Jean Baptiste Joseph Fourier (PDF)

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User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Great material, however, the mathematical symbols are not showing up properly.

⭐The book opens with a long preface and introduction in excellent 19th century style. Chapter 1 also gives the basic principles of heat, such as what we call “Newton’s law of cooling” (sec. 3). From here we derive the heat equation (chapter 2, esp. §142). In chapter 3 we solve the heat equation for an infinite rectangle with given boundary conditions. This of course calls for the principles of Fourier analysis, which are explained in full generality (sec. 6). Then in chapters 4-8 we do the same thing for other bodies (rings, spheres, infinite cylinders, infinite rectangular prisms, cubes). In the case of cylinders, Fourier series are not appropriate to solve the corresponding heat equation in polar coordinates, so we must introduce Bessel functions. In chapter 9 we study the diffusion of heat in bodies with no boundary influence. The simplest example is the isolated, infinite line. This leads to Fourier integrals. Throughout, the theory is essentially identical to the modern one, except that Fourier couldn’t care less about about convergence and such. It is understandable that Fourier wished to devote an entire book to the rudiments of Fourier analysis. I still think it’s a pity that he didn’t find it appropriate to include his favourite application: “The problem of the terrestrial temperatures presents one of the most beautiful applications of the theory of heat”, he says (§12), but does not treat this problem further here.

⭐This is a classic work about theory of heat: in fact J.B.Fourier was the first to develops rigorously the theory of heat.Fourier is very clear on explicating his theory and leads step by step a reader of his book!!!!The Amazon service has been very precise!!!!!!

⭐The print is really bad, and half the page is empty. Just don’t buy it.

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