Methods of Applied Mathematics with a Software Overview / Applied and Numerical Harmonic Analysis (PDF)

This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of problems in which the presented techniques are useful.

Replete with helpful examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.

Key features of the software overview:

• Now relies solely on the free software tools Octave, Maxima, and Python.
  
• Appendix introduces all of these tools at a level suitable to those with some programming experience
  
• Provides references to sources of further learning.
  
• Code snippets incorporated throughout the text.
  
• All graphics and illustrations generated using these tools.
  

Praise for the first edition:

"...Davis's book has many novel features being quite different from most other textbooks on applied mathematics.... Mainly it has a clear and consistent exposition with a strong focus on mathematical fundamentals and useful techniques. It has numerous extensive examples, illustrations, comments, and a very modern graphical presentation of results.

"...The book has style. Every theorem and mathematical result has a wonderful appealing comment." - Studies in Informatics and Control