Computational engineering is the treatment of engineering tasks with computers. It is based on computational mathematics, which is presented here in a comprehensive handbook. Engineers and scientists who deal with engineering tasks have to handle large amounts of information, which must be created and structured in a systematic manner. This demands a high level of abstraction and therefore knowledge of the mathematical foundations. From the existing rich repertoire of mathematical theories and methods, the fundamentals of engineering computation are selected and presented in a coherent fashion. They are brought into a suitable order for specific engineering purposes, and their significance for typical applications is shown. The relevant definitions, notations and theories are presented in a durable form which is independent of the fast development of information and communication technology.

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o.Prof. Dr. Dr. h.c. mult. Peter Jan Pahl is an expert in the field of computational engineering, with international activities. He is proposed President of the International Society on Computing in Civil and Structural Engineering. Prof. Dr.-Ing. Rudolf Damrath worked with Professor Pahl for over 20 years and is now international renown himself. They both worked on fundamental topics in computational engineering, especially for numerical applications in civil and structural engineering. This book serves as a comprehensive handbook, bringing the fundamental mathematics of engineering computation into a suitable order for specific engineering purposes, showing their siginificance for typical applications. The relevant definitions, notations and theories are presented in a durable form which is independent of the fast development of information technology.

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