This advanced-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It is directed to mathematicians, engineers and physicists who wish to see this classical subject in a modern setting with examples of newer mathematical contributions. Prerequisites include a solid background in advanced calculus and the basics of geometry and functional analysis.
The first two chapters cover the background geometry ― developed as needed ― and use this discussion to obtain the basic results on kinematics and dynamics of continuous media. Subsequent chapters deal with elastic materials, linearization, variational principles, the use of functional analysis in elasticity, and bifurcation theory. Carefully selected problems are interspersed throughout, while a large bibliography rounds out the text.
Payez facilement par carte, Klarna, Apple Pay ou Google Pay. Pas satisfait ? Vous avez toujours une garantie de remboursement de 14 jours. En savoir plus dans nos conditions. Si vous avez des questions, envoyez-nous un e-mail à hello@memmo.org.
Memmo facilite tes études, où que tu sois dans le monde. On rassemble tes manuels de cours et des outils d'étude intelligents au même endroit : résumés, quiz, podcasts et flashcards. Et il y a Ted, ton compagnon d'étude qui répond à toutes tes questions. Plus de 50 000 étudiants étudient déjà ici – conçu pour t'aider à apprendre plus vite et à moins stresser.