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A detailed, mathematically-oriented examination of abstraction in software development leading to concepts and techniques in generic programming.
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Book Details
Table of Contents
Acknowledgments
Page ix
About the Authors
Page xi
Author's Note
Page xiii
1.
What This Book Is About
Page 1
2.
The First Algorithm
Page 7
3.
Ancient Greek Number Theory
Page 17
4.
Euclid's Algorithm
Page 41
5.
The Emergence of Modern Number Theory
Page 63
6.
Abstraction in Mathematics
Page 85
7.
Deriving a Generic Algorithm
Page 111
8.
More Algebraic Structures
Page 129
9.
Organizing Mathematical Knowledge
Page 155
10.
Fundamental Programming Concepts
Page 177
11.
Permutation Algorithms
Page 197
12.
Extensions of GCD
Page 219
13.
A Real-World Application
Page 237
14.
Conclusions
Page 249
Further Reading
Page 251
A.
Notation
Page 257
B.
Common Proof Techniques
Page 261
C.
C++ for Non-C++ Programmers
Page 265
Bibliography
Page 257
Index
Page 281
Edition Notes
Classifications
Contributors
The Physical Object
ID Numbers
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Feedback?November 13, 2020 | Edited by MARC Bot | import existing book |
August 4, 2020 | Edited by ImportBot | import existing book |
June 14, 2020 | Edited by ImportBot | import existing book |
December 2, 2015 | Edited by r. clayton | added description |
July 6, 2015 | Created by r. clayton | Added new book. |