Partial Differential Equations in Action: From Modelling to Theory UNITEXT, 99 Paperback 3319312375 9783319312378 Sandro Salsa

• Format: Paperback
• Author: Sandro Salsa
• ISBN10: 3319312375
• ISBN13: 9783319312378

The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations PDEs over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background in numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In turn the second part, chapters 6 to 11, concentrates on the development of Hilbert spaces methods for the variational formulation and the analysis of mainly linear boundary and initial-boundary value problems.The third edition contains a few text and formulas revisions and new exercises.