Introductory Functional Analysis: With Applications to Boundary Value Problems and Finite Elements: Texts in Applied Mathematics, cartea 27
Autor B.D. Reddyen Limba Engleză Hardback – 20 noi 1997
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Specificații
ISBN-13: 9780387983073
ISBN-10: 0387983074
Pagini: 472
Ilustrații: XIV, 472 p.
Dimensiuni: 156 x 234 x 27 mm
Greutate: 0.78 kg
Ediția:1998
Editura: Springer
Colecția Springer
Seria Texts in Applied Mathematics
Locul publicării:New York, NY, United States
ISBN-10: 0387983074
Pagini: 472
Ilustrații: XIV, 472 p.
Dimensiuni: 156 x 234 x 27 mm
Greutate: 0.78 kg
Ediția:1998
Editura: Springer
Colecția Springer
Seria Texts in Applied Mathematics
Locul publicării:New York, NY, United States
Public țintă
GraduateCuprins
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.
Textul de pe ultima copertă
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.
Caracteristici
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