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This textbook presents basic notions and techniques of Fourier analysis in discrete settings. Written in a concise style, it is interlaced with remarks, discussions and motivations from signal analysis. The first part is dedicated to topics related to the Fourier transform, including discrete time-frequency analysis and discrete wavelet analysis. Basic knowledge of linear algebra and calculus is the only prerequisite. The second part is built on Hilbert spaces and Fourier series and culminates in a section on pseudo-differential operators, providing a lucid introduction to this advanced topic in analysis. Some measure theory language is used, although most of this part is accessible to students familiar with an undergraduate course in real analysis. Discrete Fourier Analysis is aimed at advanced undergraduate and graduate students in mathematics and applied mathematics. Enhanced with exercises, it will be an excellent resource for the classroom as well as for self-study.
Fourier analysis. --- Fourier analysis --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Analysis, Fourier --- Mathematics. --- Harmonic analysis. --- Partial differential equations. --- Numerical analysis. --- Fourier Analysis. --- Abstract Harmonic Analysis. --- Partial Differential Equations. --- Numerical Analysis. --- Mathematical analysis --- Differential equations, partial. --- Partial differential equations --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Differential equations, Partial.
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This book on wetlands ecosystems in Asia deals with function and management. It is the first volume in the Developments in Ecosystems series.
Wetland ecology --- Wetland management --- Wetlands --- Wetlands management --- Ecosystem management --- Wetlands ecology --- Ecology --- Management
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The plastic analysis method has been used extensively by engineers for designing steel structures. Simpler structures can be analyzed using the basic virtual work formulation, but more complex frames are evaluated with specialist computer software. This new book sets out a method for carrying out plastic analysis of complex structures without the need for specialist tools.The book provides an introduction to the use of linear programming techniques for plastic analysis. This powerful and advanced method for plastic analysis is important in an automated computational environment, in par
Building, Iron and steel --- Structural design --- Plastic analysis (Engineering) --- Construction métallique --- Constructions --- Analyse plastique (Ingénierie) --- Calcul --- ELSEVIER-B EPUB-LIV-FT --- Building, Iron and steel. --- Structural design. --- Analysis, Plastic --- Limit analysis (Engineering) --- Plastic analysis (Theory of structures) --- Ultimate strength analysis --- Structural analysis (Engineering) --- Engineering design --- Architectural design --- Strains and stresses --- Architectural engineering --- Engineering, Architectural --- Iron and steel building --- Iron construction --- Steel and iron building --- Steel construction --- Girders --- Graphic statics --- Iron --- Steel --- Iron, Structural --- Steel, Structural
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Wavelets (Mathematics). --- Signal processing --- Mathematics.
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This book on wetlands ecosystems in Asia deals with function and management. It is the first volume in the Developments in Ecosystems series.
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The plastic analysis method has been used extensively by engineers for designing steel structures. Simpler structures can be analyzed using the basic virtual work formulation, but more complex frames are evaluated with specialist computer software. This new book sets out a method for carrying out plastic analysis of complex structures without the need for specialist tools.The book provides an introduction to the use of linear programming techniques for plastic analysis. This powerful and advanced method for plastic analysis is important in an automated computational environment, in par
Building, Iron and steel --- Structural design --- Plastic analysis (Engineering) --- Construction métallique --- Constructions --- Analyse plastique (Ingénierie) --- Calcul --- ELSEVIER-B EPUB-LIV-FT --- Building, Iron and steel. --- Structural design.
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