Applied functional analysis

著者

• Oden, J. Tinsley (John Tinsley)
• Demkowicz, L

書誌事項

Applied functional analysis

J. Tinsley Oden, Leszek F. Demkowicz

（CRC series in computational mechanics and applied analysis）

CRC Press, c1996

注記

Includes bibliographical references (p. 643-644) and index

内容説明・目次

内容説明

Functional analysis-the study of the properties of mathematical functions-is widely used in modern scientific and engineering disciplines, particularly in mathematical modeling and computer simulation. Applied Functional Analysis, the only textbook of its kind, is designed specifically for the graduate student in engineering and science who has little or no training in advanced mathematics. Comprehensive and easy-to-understand, this innovative textbook progresses from the essentials of preparatory mathematics to sophisticated functional analysis. This self-contained presentation requires few mathematical prerequisites and provides students with the fundamental concepts and theorems essential to mathematical analysis and modeling. Applied Functional Analysis combines various principles of mathematics, computer science, engineering, and science, laying the foundation for further specialty work in partial differential equations, approximation theory, numerical mathematics, control theory, mathematical physics, and related subjects. This new treatment of a classic subject outfits engineering and science majors with a graduate-level mathematics standing, otherwise accessible only through regular mathematics studies.

目次

Preliminaries Elementary Set Theory Elementary Logic Relations Functions Cardinality of Sets Foundations of Abstract Algebra Elementary Topology in Rn Elements of Differential and Integral Calculus Linear Algebra Vector Spaces - The Basic Concepts Linear Transformations Algebraic Duals Euclidean Spaces Lebesgue Measure and Integration Lebesgue Measure Lebesgue Integration Theory Lp-Spaces Topological and Metric Spaces Elementary Topology Theory of Metric Spaces Banach Spaces Topological Vector Spaces Hahn-Banach Extension Theorem Bounded (Continuous) Linear Operators on Normed Spaces Closed Operators Topological Duals: Weak Compactness Closed Range Theorem: Solvability of Linear Equations Hilbert Spaces Basic Theory Duality in Hilbert Spaces Elements of Spectral Theory References Index

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA2887067X
• ISBN:
  • 084932551X
• LCCN: 95053832
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Boca Raton
• ページ数/冊数: xiv, 653 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA320
  • DC20 : 515/.7
• 件名:
  • LCSH : Functional analysis
• 親書誌ID:
  • BA28870793