[Sandro Salsa] Partial Differential Equations in Action From Modelling to Theory (2nd edition)(pdf){Zzzzz}[BЯ]

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.

Editorial Reviews
Review

From the reviews:

"This book reflects several years of the author’s teaching experience … on partial differential equations taught to students in applied mathematics, physics and engineering. … The book is well-organized and is written in a lucid and rigorous manner. … This highly recommended book is a good resource for a solid course on modern methods and applications of partial differential equations at the advanced undergraduate or introductory graduate level." (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1146, 2008)
From the Back Cover
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.

Publisher: Springer; 2 edition (May 9, 2015)
Publication Date: May 9, 2015
Language: English
ASIN: B00WMJG0R4