Introductory Functional Analysis
With Applications to Boundary Value Problems and Finite Elements
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Beschreibung
THIS IS BOTH PROMO COPY AND BACK COVER COPY!!!!! This book provides an introduction to functional analysis and treats in detail its application to boundary-value problems and finite elements. The book is intended for use by senior undergraduate and graduate students in mathematics, the physical sciences and engineering, who may not have been exposed to the conventional prerequisites for a course in functional analysis, such as real analysis. Mature researchers wishing to learn the basic ideas of functional analysis would also find the text useful. The text is distinguished by the fact that abstract concepts are motivated and illustrated wherever possible. Readers of this book can expect to obtain a good grounding in those aspects of functional analysis which are most relevant to a proper understanding and appreciation of the mathematical aspects of boundary-value problems and the finite element method.
The book is aimed particularly at students and researchers who do not have the traditional prerequisites (for example, real analysis) for a first course in functional analysis, and are interested in the applications of this subject to areas such as partial differential equations and the finite element method. The selection, presentation and organization of material are guided by the principle that abstract concepts should be conveyed in a carefully structured and well-placed manner, in order to make these readily accessible to the target readership.
Assumes only elementary knowledge of linear algebra, vector analysis, and differential equations New concepts made more accessible by copious use of concrete worked examples Descriptive approach favored over detailed mathematical argument Chapter end with exercises to consolidate the material Solutions included
Autor*in
B.D. Reddy
Themen in »Introductory Functional Analysis«
Algebra calculus finite elements functional analysis linear optimization mathematics proving