Elements of Programming

Elements of Programming
PDF
  • eBook:
    Elements of Programming
  • Author:
    Alexander Stepanov, Paul McJones
  • Edition:
    -
  • Categories:
  • Data:
    June 27, 2019
  • ISBN:
    0578222140
  • ISBN-13:
    9780578222141
  • Language:
    English
  • Pages:
    280 pages
  • Format:
    PDF

Book Description
Elements of Programming provides a different understanding of programming than is presented elsewhere. Its major premise is that practical programming, like other areas of science and engineering, must be based on a solid mathematical foundation. The book shows that algorithms implemented in a real programming language, such as C++, can operate in the most general mathematical setting. For example, the fast exponentiation algorithm is defined to work with any associative operation. Using abstract algorithms leads to efficient, reliable, secure, and economical software.

Content

1. Foundations
2. Transformations and Their Orbits
3. Associative Operations
4. Linear Orderings
5. Ordered Algebraic Structures
6. Iterators
7. Coordinate Structures
8. Coordinates with Mutable Successors
9. Copying
10. Rearrangements
11. Partition and Merging
12. Composite Objects

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