Elements of vector analysis

117. This is a very rare work printed at New Haven, Connecticut, for use only in Gibbs's classes at Yale (hence the phrase "not published" on the cover sheet). Gibbs, a well-known scientist in the 19th century, helped develop vector analysis into a useful mathematical tool along with his British counterpart, Oliver Heaviside. Gibbs and Heaviside used the new methods of vector analysis to express Maxwell's laws of thermodynamics in a more concise form (the expressions we now call "Maxwell's Laws"). Our copy of Gibbs's work is particularly interesting since it is his presentation copy to Heaviside and it contains a number of manuscript notes by Heaviside in the text.