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Sandro Salsa & Gianmaria Verzini 
Partial Differential Equations in Action 
From Modelling to Theory

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的封面 Sandro Salsa & Gianmaria Verzini: Partial Differential Equations in Action (PDF)
This work is an updated version of a book 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 for 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 the second part, chapters 6 to 10 concentrate on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems, while Chapter 11 deals with vector-valued conservation laws, extending the theory developed in Chapter 4. The main differences with respect to the previous editions are: a new section on reaction diffusion models for population dynamics in a heterogeneous environment; several new exercises in almost all chapters; a general restyling and a reordering of the last chapters. The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering.
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语言 英语 ● 格式 PDF ● ISBN 9783031218538 ● 出版者 Springer International Publishing ● 发布时间 2022 ● 下载 3 时 ● 货币 EUR ● ID 8767945 ● 复制保护 Adobe DRM
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