
Introductory Functional Analysis: With Applications to Boundary-Value Problems
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Introductory Functional Analysis: With Applications to Boundary-Value Problems
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A book that has been read, but looks new. The book cover has no visible wear, and the dust jacket (if applicable) is included for hard covers. No missing or damaged pages, no creases or tears, no underlining or highlighting of text, and no writing in the margins. May have no identifying marks on the inside cover. No wear and tear. See the seller’s listing for full details and description of any imperfections.
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Item specifics
- Condition
- EAN
- 9780387983073
- ISBN
- 9780387983073
- UPC
- 9780387983073
- MPN
- N/A
About this product
Product Identifiers
Publisher
Springer New York
ISBN-10
0387983074
ISBN-13
9780387983073
eBay Product ID (ePID)
961368
Product Key Features
Number of Pages
Xiv, 472 Pages
Publication Name
Introductory Functional Analysis Vol. 127 : With Applications to Boundary Value Problems and Finite Elements
Language
English
Publication Year
1997
Subject
Engineering (General), Differential Equations / General, Functional Analysis, Intelligence (Ai) & Semantics, Numerical Analysis, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics, Computers, Technology & Engineering
Series
Texts in Applied Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.4 in
Item Weight
67 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
97-024052
Dewey Edition
21
Series Volume Number
27
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515/.7
Table Of 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.
Synopsis
Mathematics is playing an ever more important role in the physical and biological sciences, provo king a blurring of boundaries between scientific dis- ciplines and a resurgence of interest in the modern as weil as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathe- matics (TAM). The development of new courses is a natural consequence of a . high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable f r use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface A proper understanding of the theory of boundary value problems, as op- posed to a knowledge of techniques for solving specific problems or classes of problems, requires some background in functional analysis., Providing an introduction to functional analysis, this text treats in detail its application to boundary-value problems and finite elements, and is distinguished by the fact that abstract concepts are motivated and illustrated wherever possible. It is intended for use by senior undergraduates and graduates 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 will equally find this useful. Offers 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., Mathematics is playing an ever more important role in the physical and biological sciences, provo king a blurring of boundaries between scientific dis ciplines and a resurgence of interest in the modern as weil as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathe matics (TAM). The development of new courses is a natural consequence of a . high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable für use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface A proper understanding of the theory of boundary value problems, as op posed to a knowledge of techniques for solving specific problems or classes of problems, requires some background in functional analysis., 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., Mathematics is playing an ever more important role in the physical and biological sciences, provo king a blurring of boundaries between scientific dis ciplines and a resurgence of interest in the modern as weil as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathe matics (TAM). The development of new courses is a natural consequence of a . high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable für use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series,which will focus on advanced textbooks and research level monographs. Preface A proper understanding of the theory of boundary value problems, as op posed to a knowledge of techniques for solving specific problems or classes of problems, requires some background in functional analysis.
LC Classification Number
QA299.6-433
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