Books from Sampling Publishing

1. Introduction
   
   
2. Review of Basic Representations of Functions
   
   
3. The Scaling Recurrence Relation
   
   
4. Vector Spaces, Subspaces and Bases
   
   
5. The Fourier Series
   
   
6. The Fourier Transform
   
   
7. The Windowed Fourier and The Continuous Wavelet Transforms
   
   
8. Multiresolution Analysis and Filter Banks
   
   
9. The Fast Daubechies Wavelet Transform (FDWT)
   
   
10. Searching for The Scaling Equation Coefficients
    
    
11. Other Wavelet Topics
    
    
12. Wavelet Applications

Samples of sections and examples:

1. Introduction
   
   
2. Review of Basic Representations of Functions
   
   
3. The Scaling Recurrence Relation
   
   
4. Vector Spaces, Subspaces and Bases
   
   
5. The Fourier Series
   
   
6. The Fourier Transform
   
   
7. The Windowed Fourier and The Continuous Wavelet Transforms
   
   
8. Multiresolution Analysis and Filter Banks
   
   
9. The Fast Daubechies Wavelet Transform (FDWT)
   
   
10. Searching for The Scaling Equation Coefficients
    
    
11. Other Wavelet Topics
    
    
12. Wavelet Applications

1. A Brief Historical Account and Basic Elements
   Abdul J. Jerri Department of Mathematics and Computer Sciences, Clarkson University, Potsdam, New York
   
   
2. The General Orthogonal and Other Expansions
   Abdul J. Jerri Department of Mathematics and Computer Sciences, Clarkson University, Potsdam, New York
   
   
3. The Wavelet Approximations
   Abdul J. Jerri Department of Mathematics and Computer Sciences, Clarkson University, Potsdam, New York

4. Defeating Gibbs Phenomenon in Fourier Series and Chebyshev Spectral Methods for Solving Differential Equations
   John P. Boyd Department of Atmospheric, Oceanic, and Space Science, University of Michigan, Ann Arbor, Michigan
   
   
5. Pade'-Based Interpretation and Correction of the Gibbs Phenomenon
   Tobin A. Driscoll Department of Mathematical Sciences, University of Delaware, Newark, Delaware
   Bengt Fornberg Department of Applied Mathematics, University of Colorado, Boulder, Colorado
   
   
6. The Gibbs Phenomenon for Radial Basis Functions
   Bengt Fornberg Department of Applied Mathematics, University of Colorado, Boulder, Colorado
   Natasha Flyer National Center for Atmospheric Research, Division of Scintific Computing, Boulder, Colorado
   
   
7. The Resolution of the Gibbs Phenomenon for Fourier Spectral Methods
   Anne Gelb Department of Mathematics and Statistics, Arizona State University, Tempe, Arizona
   Sigal Gottlieb Department of MAthematics, University of Massachusetts-Dartmouth, Dartmouth, Massachusetts
   
   
8. Gibbs Phenomenon for Sequences of Kernels Defined in Rⁿ and Tⁿ
   Leonade De Michele Department of Applied Mathematics, University of Milano-Brococca, Italy
   Delfina Roux, Department of Applied Mathematics, University of Milano-Brococca, Italy
   
   
9. Gibbs Phenomenon for Interpolative Approximation
   Gilbert Helmberg Institute of Technology, Mathematics, and Geometry, University of Innsburck, Austria
   
   
10. Fourier-Cesaro Approximation in the Hausdorff Metric with Application to Noisy Deconvolution
    David S. Gillian Department of Mathematics and Statistics, Texas Tech. University, Lubbock, Texas
    Arnoud van Rooij Department of Mathematics, Katholieke University, Nijmegan, The Netherlands
    Frits Ruymgaast Department of Mathematics and Statistics, Texas Tech. University, Lubbock, Texas
    
    
11. How to Reduce Gibbs Ripples for the Shannon and Meyer's Wavelet Sampling Series
    Costas Karanikas Department of Informatics, Aristotle University of Thessaloniki, Greece
    Nikolaos Atreas Department of Informatics, Aristotle University of Thessaloniki, Greece
    
    
12. The Gibbs Phenomenon for Orthogonal Wavelets with Compact Support
    Xiaoping Shen Department of Mathematics, Ohio University, Athens, Ohio
    
    

1. The Gibbs Surfaces
   Gilbert Helmberg

Samples of sections and examples:

1. Integral Equations, Origin, and Basic Tools
   
   
2. Modeling of Problems as Integral Equations
   
   
3. Volterra Integral Equations
   
   
4. The Green's Function
   
   
5. Fredholm Integral Equations
   
   
6. Existence of the Solutions: Basic Fixed Point Theorems
   
   
7. Higher Quadrature Rules for the Numerical Solutions
   
   

1. Integral Equations, Origin, and Basic Tools
   
   
2. Modeling of Problems as Integral Equations
   
   
3. Volterra Integral Equations
   
   
4. The Green's Function
   
   
5. Fredholm Integral Equations
   
   
6. Quadrature Rules for the Numerical Solutions
   
   
7. Higher Quadrature Rules for the Numerical Solutions