• An Applied Mathematician's Apology  (SIAM, June 2022)  (Review by Michael Berry)
  
• Approximation Theory and Approximation Practice, Extended Edition  (SIAM 2019)
  
• Exploring ODEs  (SIAM 2018, freely available online)
  
• Chebfun Guide  (Pafnuty Publications 2014, freely available online)
  
• Trefethen's Index Cards  (WSP 2011) -- see sample1, sample2
  
• Spectra and Pseudospectra  (PUP 2005)
  
• Schwarz-Christoffel Mapping  (CUP 2002)
  
• Spectral Methods in Matlab  (SIAM 2000)
  
• The (Unfinished) PDE Coffee Table Book  (2000, freely available online)
  
• Numerical Linear Algebra  (SIAM 1997 and 2022)
  
• Finite Difference and Spectral Methods  (1996, freely available online)
  

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