Gabrio Piola works had an enormous impact on the development of applied mathematics and continuum mechanics. An excellent scientific committee who took it upon themselves to translate his complete works. In a second step, they commented Piolaâs work and compared it to modern theories in mechanics in order to stress Piolaâs impact on modern science and proofs that he has set milestones in applied mathematics. This book presents Piola's original Italian text together with ist translations and their comments. It shows impressively that Gabrio Piolaâs work must still be regarded as a modern theory.