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AuthorReddy, B. Daya. author
TitleIntroductory Functional Analysis [electronic resource] : With Applications to Boundary Value Problems and Finite Elements / by B. Daya Reddy
ImprintNew York, NY : Springer New York : Imprint: Springer, 1998
Connect tohttp://dx.doi.org/10.1007/978-1-4612-0575-3
Descript XIV, 472 p. online resource

SUMMARY

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


CONTENT

Contents -- Introduction -- Linear Functional Analysis -- Sets -- The algebra of sets -- Sets of numbers -- Rn and its subsets -- Relations, equivalence classes and Zorn's lemma -- Theorem-proving -- Bibliographical remarks -- Exercises -- Sets of functions and Lebesgue integration -- Continuous functions -- Meansure of sets in Rn -- Lebesgue integration and the space Lp(_) -- Bibliographical remarks -- Exercises -- Vector spaces, normed and inner product spaces


Mathematics Mathematical analysis Analysis (Mathematics) Physics Computational intelligence Mathematics Analysis Computational Intelligence Theoretical Mathematical and Computational Physics



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