Here is the formula for the sum of the first n integers.
This is slightly more than n2/2, as illustrated in Figure C-2.
Figure C-2. The sum of the first n integers occupies just over half of an n x n square.
C 4 Sums of Halves and Doubles |
Part I: Object-Oriented Programming
Encapsulation
Polymorphism
Inheritance
Part II: Linear Structures
Stacks and Queues
Array-Based Structures
Linked Structures
Part III: Algorithms
Analysis of Algorithms
Searching and Sorting
Recursion
Part IV: Trees and Sets
Trees
Sets
Part V: Advanced Topics
Advanced Linear Structures
Strings
Advanced Trees
Graphs
Memory Management
Out to the Disk
Part VI: Appendices
A. Review of Java
B. Unified Modeling Language
C. Summation Formulae
D. Further Reading
Index