Ebook: Euler as physicist

"Euler as Physicist" analyzes the exceptional role of Leonhard Euler (1707 - 1783) in the history of science and emphasizes especially his fundamental contributions to physics. Although Euler is famous as the leading mathematician of the 18th century, his contributions to physics are as important for their innovative methods and solutions. Several books are devoted to Euler as mathematician, but none to Euler as physicist, like in this book.

Euler’s contributions to mechanics are rooted in his life-long plan presented in two volume treatise programmatically entitled "Mechanics or the science of motion analytically demonstrated". Published in 1736, Euler’s treatise indicates the turn over from the traditional geometric representation of mechanics to a new approach. In writing Mechanics Euler did the first step to put the plan and his completion into practice through 1760. It is of particular interest to study how Euler made immediate use of his mathematics for mechanics and coordinated his progress in mathematics with his progress in physics. Euler's mechanics is not only a model for a consistently formulated theory, but allows for generalizations of Euler's principles.

It is shown that even problems in contemporary physics may be advantageously reconsidered and reformulated in terms of Euler's early unified approach. The interplay between physics and mathematics which appeared in the 18th century is compared to the development of physics in the 20th century, especially to the development of quantum mechanics between 1900 and 1930. The author aims to show how Euler' work represents a rare example of a simultaneous and harmonic composition of results of different origin and nature which have been joined into a unique and marvellous result.

The subject of the book is the development of physics in the 18th century centred upon the fundamental contributions of Leonhard Euler to physics and mathematics.Classical mechanics will be reconstructed in terms of the program initiated by Euler in 1736 and its completion over the following decades until 1760.

It is of particular interest to study how Euler made immediate use of his mathematics for mechanics and coordinated his progress in mathematics with his progress in physics. The interplay between physics and mathematics which appeared in the 18th century will be compared to the development of physics in the 20th century, especially to the development of quantum mechanics between 1900 and 1930. The method of investigation can be used for didactic purposes to demonstrate the relations between classical and quantum mechanics as well as the application of the calculus in physical theories.