DWT-References

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** Martin J. Mohlenkamp & María Cristina Pereyra. ''Wavelets, Their Friends, and What They Can Do for You.'' European Mathematical Society (2000).
 
** Martin J. Mohlenkamp & María Cristina Pereyra. ''Wavelets, Their Friends, and What They Can Do for You.'' European Mathematical Society (2000).
 
** David K. Ruch & Patrick J. Van Fleet. ''Wavelet Theory: An Elementary Approach with Applications.'' Wiley (2010).
 
** David K. Ruch & Patrick J. Van Fleet. ''Wavelet Theory: An Elementary Approach with Applications.'' Wiley (2010).
 +
** Gilbert Strang. [http://www-math.mit.edu/~gs/papers/siamrev.pdf ''Wavelets and Dilation Equations: A Brief Introduction.''] SIAM Review, Vol. 31, No. 4. (1989), pp. 614-627.
 
** Gilbert Strang & Truong Nguyen. ''Wavelets and Filter Banks.'' Wellesley College, 2nd ed. (1996).
 
** Gilbert Strang & Truong Nguyen. ''Wavelets and Filter Banks.'' Wellesley College, 2nd ed. (1996).
−
** Patrick Van Fleet. ''Discrete Wavelet Transformations: An Elementary Approach with Applications.'' Wiley (2008).
+
** Patrick Van Fleet. ''Discrete Wavelet Transformations: An Elementary Approach with Applications.'' Wiley, 2nd ed. (2019).
 
** David F. Walnut. ''An Introduction to Wavelet Analysis.'' Birkhäuser (2004).
 
** David F. Walnut. ''An Introduction to Wavelet Analysis.'' Birkhäuser (2004).
 
** Filip Wasilewski. [http://wavelets.pybytes.com/ Wavelet Properties Browser].
 
** Filip Wasilewski. [http://wavelets.pybytes.com/ Wavelet Properties Browser].
Line 17: Line 18:
 
** M.A. Al-Gwaiz. ''Sturm-Liouville Theory and its Applications.'' Springer-Verlag (2008).
 
** M.A. Al-Gwaiz. ''Sturm-Liouville Theory and its Applications.'' Springer-Verlag (2008).
 
** Rajendra Bhatia. ''Fourier Series.'' Mathematical Association of America (2004).
 
** Rajendra Bhatia. ''Fourier Series.'' Mathematical Association of America (2004).
−
** Anton Deitmer. ''A First Course in Harmonic Analysis.'' Springer-Verlag, 2nd ed. (2005).
+
** Anton Deitmar. ''A First Course in Harmonic Analysis.'' Springer-Verlag, 2nd ed. (2005).
 
** Thomas W. Körner. ''Fourier Analysis.'' Cambridge University Press (1988).
 
** Thomas W. Körner. ''Fourier Analysis.'' Cambridge University Press (1988).
 +
** Kenneth A. Ross. [http://www.ams.org/notices/201409/rnoti-p1032.pdf ''A Trip from Classical to Abstract Fourier Analysis.''] Notices of the AMS 61 (2014), pp. 1032-1038.
  
 
* Digital Image Processing
 
* Digital Image Processing
 
** Rafael C. Gonzalez & Richard E. Woods. ''Digital Image Processing.'' Pearson, 3rd ed. (2008).
 
** Rafael C. Gonzalez & Richard E. Woods. ''Digital Image Processing.'' Pearson, 3rd ed. (2008).
 +
** Richard Szeliski. ''Computer Vision.'' Springer-Verlag (2011).
  
 
* Information Theory
 
* Information Theory
 
** David A. Huffman. [http://compression.ru/download/articles/huff/huffman_1952_minimum-redundancy-codes.pdf  ''A Method for the Construction of Minimum-Redundancy Codes.''] Proceedings of the I.R.E., September 1952, pp. 1098–1101.
 
** David A. Huffman. [http://compression.ru/download/articles/huff/huffman_1952_minimum-redundancy-codes.pdf  ''A Method for the Construction of Minimum-Redundancy Codes.''] Proceedings of the I.R.E., September 1952, pp. 1098–1101.
−
** Paul Penfield. [http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-050j-information-and-entropy-spring-2008/ Entropy Course Materials]
+
** Paul Penfield & Lloyd Seth. 6.050J Information and Entropy, Spring 2008. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-050j-information-and-entropy-spring-2008 (Accessed 19 Aug, 2014). License: Creative Commons BY-NC-SAPaul Penfield.
−
** Claude E. Shannon. [http://plan9.bell-labs.com/cm/ms/what/shannonday/shannon1948.pdf ''A Mathematical Theory of Communication.''] Bell System Technical Journal 27 (1948), pp. 379-423, pp. 623-656.
+
**Benjamin Schumacher. [http://helmut.knaust.info/class/202410_5311/PhysRevA.51.2738.pdf ''Quantum Coding''] , PhysRevA Vol. 51 (1995), pp. 2738-47
 +
** Claude E. Shannon. [http://www.math.harvard.edu/~ctm/home/text/others/shannon/entropy/entropy.pdf ''A Mathematical Theory of Communication.''] Bell System Technical Journal 27 (1948), pp. 379-423, pp. 623-656.
 +
** Warren Weaver. [http://helmut.knaust.info/class/201510_5311/Weaver.pdf Recent Contributions to the Mathematical Theory of Communication] (1948).
  
 
* Mathematica
 
* Mathematica
−
** Richard J. Gaylord, Samuel N. Kamin & Paul R. Wellin. ''Introduction to Programming with Mathematica''. Springer-Verlag (1993).
 
−
** Roozbeh Hazrat. ''Mathematica: A Problem-Centered Approach'', Springer-Verlag (2010).
 
 
** Roman Maeder. ''Programming in Mathematica'', Addison-Wesley, 2nd ed. (1991).
 
** Roman Maeder. ''Programming in Mathematica'', Addison-Wesley, 2nd ed. (1991).
 +
** Sal Mangano. ''Mathematica Cookbook: Building Blocks for Science, Engineering, Finance, Music, and More'', O'Reilly (2010).
 +
** Paul R. Wellin. ''Programming with Mathematica: An Introduction''. Springer-Verlag (2013).
  
 
* Linear Algebra and Geometry
 
* Linear Algebra and Geometry
 
** Thomas Banchoff & John Wermer. ''Linear Algebra Through Geometry''. Springer-Verlag, 2nd ed. (1992).
 
** Thomas Banchoff & John Wermer. ''Linear Algebra Through Geometry''. Springer-Verlag, 2nd ed. (1992).

Latest revision as of 16:45, 5 October 2023

  • Discrete Wavelet Transforms
    • Albert Boggess & Francis J. Narcowich. A First Course in Wavelets with Fourier Analysis. Prentice-Hall (2001).
    • Ingrid Daubechies. Ten Lectures on Wavelets. Society for Industrial and Applied Mathematics (1992).
    • Michael W. Frazier. An Introduction to Wavelets Through Linear Algebra. Springer-Verlag (2001).
    • Barbara Burke Hubbard. The World According to Wavelets. AK Peters, 2nd ed. (1998)
    • Arne Jensen & Anders la Cour-Harbo. Ripples in Mathematics: The Discrete Wavelet Transform. Springer-Verlag (2001).
    • Stéphane Mallat. A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way. Academic Press (2008).
    • Yves Meyer. Ondelettes et opérateurs. Hermann (1990).
    • Martin J. Mohlenkamp & María Cristina Pereyra. Wavelets, Their Friends, and What They Can Do for You. European Mathematical Society (2000).
    • David K. Ruch & Patrick J. Van Fleet. Wavelet Theory: An Elementary Approach with Applications. Wiley (2010).
    • Gilbert Strang. Wavelets and Dilation Equations: A Brief Introduction. SIAM Review, Vol. 31, No. 4. (1989), pp. 614-627.
    • Gilbert Strang & Truong Nguyen. Wavelets and Filter Banks. Wellesley College, 2nd ed. (1996).
    • Patrick Van Fleet. Discrete Wavelet Transformations: An Elementary Approach with Applications. Wiley, 2nd ed. (2019).
    • David F. Walnut. An Introduction to Wavelet Analysis. Birkhäuser (2004).
    • Filip Wasilewski. Wavelet Properties Browser.
  • Fourier Analysis
    • M.A. Al-Gwaiz. Sturm-Liouville Theory and its Applications. Springer-Verlag (2008).
    • Rajendra Bhatia. Fourier Series. Mathematical Association of America (2004).
    • Anton Deitmar. A First Course in Harmonic Analysis. Springer-Verlag, 2nd ed. (2005).
    • Thomas W. Körner. Fourier Analysis. Cambridge University Press (1988).
    • Kenneth A. Ross. A Trip from Classical to Abstract Fourier Analysis. Notices of the AMS 61 (2014), pp. 1032-1038.
  • Digital Image Processing
    • Rafael C. Gonzalez & Richard E. Woods. Digital Image Processing. Pearson, 3rd ed. (2008).
    • Richard Szeliski. Computer Vision. Springer-Verlag (2011).
  • Mathematica
    • Roman Maeder. Programming in Mathematica, Addison-Wesley, 2nd ed. (1991).
    • Sal Mangano. Mathematica Cookbook: Building Blocks for Science, Engineering, Finance, Music, and More, O'Reilly (2010).
    • Paul R. Wellin. Programming with Mathematica: An Introduction. Springer-Verlag (2013).
  • Linear Algebra and Geometry
    • Thomas Banchoff & John Wermer. Linear Algebra Through Geometry. Springer-Verlag, 2nd ed. (1992).
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