Titlebook: Convolutions in French Mathematics, 1800–1840; From the Calculus an Ivor Grattan-Guinness Book 1990Latest edition Springer International Pu

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The entry of physicist Ampère: electricity and magnetism, especially their connections, 1820–1827e founding of electromagnetism and electrodynamics, in a frenzy of activity carried out between 1820 and 1827. As with Fresnel’s Chapter 13 and Fourier in Chapter 9, one figure dominates, and so a fairly close chronology can be followed.

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Institutions and individuals around the 1800s chapters are set. First, I deal with the principal institutions, in the forms in which they were set up around 1795 and developed up to the late 1800s. The mathematical and physical . of the . is the main topic of §2.2, the . similarly dominates §2.3, while §2.4 deals with the . and the . and then

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The Lagrangian tradition in the calculus, 1800–1815responses to Lagrange’s approach to the calculus in §4.3. All algebraic in some form or another, they range from foundational questions through technical results to speculations of various kinds on the power and scope of operator algebras. Then in §4.4 some contributions to the theory of general and

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The 18th-century heritage: mechanics around 1800mplicated developments in mechanics. This subject was very much at the heart of 18th-century mathematics, and the quantity of the research is as awe-inspiring as its mathematical and historical complications. For example, the quantity and range of Euler’s work alone is bewildering; not only the cent

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The entry of Fourier: heat theory and Fourier analysis, 1800–1816 But we shall see that Fourier produced his results almost entirely in isolation—even geographical isolation—from the Parisian activities described in earlier chapters. Moreover, in content they were opposed to mathematical fashion; and only after 1816 did they gain general acceptance and use. Thus

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The entry of Cauchy: complex variables and differential equations, 1810–1822in the form of a summary of the principal changes which took place in institutions and journals between the mid 1810s and the early 1820s. (As will be seen, not all of these changes were consequences of the political events.) Then Cauchy makes his formal bow on stage, and finally the usual plan of t

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