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Software Design and Development 1 Object-Oriented Design 2 Abstract Data Types 3 Java Interfaces 4 Classes and Objects 5 Modifiers 8 Composition, Aggregation, and Inheritance 10 The Unified Modeling Language 13 Polymorphism 14 Javadoc 16 2
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Properties of Arrays 26 Duplicating an Array 28 The java.util.Arrays Class 29 The Sequential Search Algorithm 30 The Binary Search Algorithm 31 3
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Maintaining an Ordered Array 46 Indirect Reference 47 Linked Nodes 50 Inserting an Element into a Linked List 55 Inserting at the Front of the List 58 Deleting from a Sorted Linked List 59 Nested Classes 59 4
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The Inheritance Hierarchy 69 The Collection Interface 70 ix
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CONTENTS The HashSet Class 72 Generic Collections 74 Generic Methods 76 Generic Wildcards 76 Iterators 77 The TreeSet Class 79 The LinkedHashSet Class 83 The EnumSet Class 83 The List Interface 85 The ArrayList and Vector Classes 86 The LinkedList Class 86 The ListIterator Interface 87 The Queue Interface 87 The PriorityQueue Class 90 The Deque Interface and ArrayDeque Class 91 The Map Interface and Its Implementing Classes 92 The Arrays Class 95 The Collections Class 96 Autoboxing 97
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Stacks
Stack Operations 103 The JCF Stack Class 103 A Stack Interface 104 An Indexed Implementation 104 A Linked Implementation 106 Abstracting the Common Code 108 Application: An RPN Calculator 109 6
Queues
Queue Operations 117 The JCF Queue Interface 117 A Simple Queue Interface 118 An Indexed Implementation 119 An Indexed Implementation 120 Application: A Client-Server System 7
Lists
The JCF List Interface 131 The Range-View Operation sublist() List Iterators 133 Other List Types 136 Application: The Josephus Problem 140 Application: A Polynomial Class 141
CONTENTS 8
Hash Tables
The Java Map Interface 148 The HashMap Class 149 Java Hash Codes 150 Hash Tables 151 Hash Table Performance 153 Collision Resolution Algorithms 154 Separate Chaining 156 Applications 157 The TreeMap Class 159 9
Recursion
Simple Recursive Functions 165 Basis and Recursive Parts 166 Tracing A Recursive Call 167 The Recursive Binary Search 168 Binomial Coefficients 169 The Euclidean Algorithm 171 Inductive Proof of Correctness 171 Complexity Analysis 172 Dynamic Programming 173 The Towers of Hanoi 173 Mutual Recursion 175 10
Trees
Tree Definitions 186 Decision Trees 188 Transition Diagrams 189 Ordered Trees 191 Traversal Algorithms 192 11
Binary Trees
Definitions 200 Counting Binary Trees 201 Full Binary Trees 202 Identity, Equality, and Isomorphism 203 Complete Binary Trees 205 Binary Tree Traversal Algorithms 207 Expression Trees 209 A BinaryTree Class 211 Implementations of The Traversal Algorithms 216 Forests 219
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CONTENTS
Search Trees
Multiway Search Trees 230 B-trees 232 Binary Search Trees 234 Performance of Binary Search Trees 236 AVL Trees 237 13
Heaps and Priority Queues
Heaps 245 The Natural Mapping 245 Insertion Into A Heap 246 Removal From A Heap 247 Priority Queues 247 The JCF PriorityQueue Class 248 14
Sorting
Code Preliminaries 255 The Java Arrays.sort() Method 256 The Bubble Sort 256 The Selection Sort 257 The Insertion Sort 258 The Shell Sort 259 The Merge Sort 260 The Quick Sort 263 The Heap Sort 265 The Speed Limit For Comparison Sorts 269 The Radix Sort 270 The Bucket Sort 271 15
Graphs
Simple Graphs 285 Graph Terminology 285 Paths and Cycles 286 Isomorphic Graphs 288 The Adjacency Matrix for a Graph 290 The Incidence Matrix for a Graph 291 The Adjacency List for a Graph 291 Digraphs 292 Paths in a Digraph 294 Weighted Digraphs and Graphs 295 Euler Paths and Hamiltonian Cycles 295 Dijkstra s Algorithm 297 Graph Traversal Algorithms 300
CONTENTS APPENDIX
xiii
Essential Mathematics
The Floor and Ceiling Functions 319 Logarithms 319 Asymptotic Complexity Classes 320 The First Principle of Mathematical Induction 321 The Second Principle of Mathematical Induction 322 Geometric Series 323 Other Summation Formulas 323 Harmonic Numbers 324 Stirling s Formula 325 Fibonacci Numbers 326 INDEX 329
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