Python Algorithms: Mastering Basic Algorithms in the Python Language (Expert’s Voice in Open Source) PDF Free Download

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Python Algorithms explains the Python approach to algorithm analysis and design. Written by Magnus Lie Hetland, author of Beginning Python, this book is sharply focused on classical algorithms, but it also gives a solid understanding of fundamental algorithmic problem-solving techniques.

  • The book deals with some of the most important and challenging areas of programming and computer science, but in a highly pedagogic and readable manner.
  • The book covers both algorithmic theory and programming practice, demonstrating how theory is reflected in real Python programs.
  • Well-known algorithms and data structures that are built into the Python language are explained, and the user is shown how to implement and evaluate others himself.

Table of contents

Prelim……Page 1
Contents at a Glance……Page 7
Contents……Page 8
About the Author……Page 15
About the Technical Reviewer……Page 16
Acknowledgments……Page 17
Preface……Page 18
Introduction……Page 19
What’s All This, Then?……Page 20
Why Are You Here?……Page 21
Some Prerequisites……Page 22
What’s in This Book……Page 23
If You’re Curious ………Page 24
References……Page 25
Some Core Ideas in Computing……Page 27
Asymptotic Notation……Page 28
It’s Greek to Me!……Page 30
Rules of the Road……Page 32
Taking the Asymptotics for a Spin……Page 34
Three Important Cases……Page 37
Empirical Evaluation of Algorithms……Page 38
Implementing Graphs and Trees……Page 41
Adjacency Lists and the Like……Page 43
Adjacency Matrices……Page 47
Implementing Trees……Page 50
A Multitude of Representations……Page 53
Beware of Black Boxes……Page 54
Hidden Squares……Page 55
The Trouble with Floats……Page 56
Summary……Page 58
If You’re Curious ………Page 59
Exercises……Page 60
References……Page 61
The Skinny on Sums……Page 63
Working with Sums……Page 64
Shaking Hands……Page 65
The Hare and the Tortoise……Page 67
Subsets, Permutations, and Combinations……Page 71
Recursion and Recurrences……Page 74
Doing It by Hand……Page 75
A Few Important Examples……Page 76
Guessing and Checking……Page 80
The Master Theorem: A Cookie-Cutter Solution……Page 82
So What Was All That About?……Page 85
Summary……Page 86
Exercises……Page 87
References……Page 88
Induction and Recursion … and Reduction……Page 89
Oh, That’s Easy!……Page 90
One, Two, Many……Page 92
Mirror, Mirror……Page 94
Finding a Maximum Permutation……Page 99
The Celebrity Problem……Page 103
Topological Sorting……Page 105
Stronger Assumptions……Page 109
Invariants and Correctness……Page 110
Relaxation and Gradual Improvement……Page 111
Reduction + Contraposition = Hardness Proof……Page 112
Problem Solving Advice……Page 113
Summary……Page 114
Exercises……Page 115
References……Page 117
Traversal: The Skeleton Key of Algorithmics……Page 119
A Walk in the Park……Page 125
No Cycles Allowed……Page 126
How to Stop Walking in Circles……Page 127
Go Deep!……Page 128
Depth-First Timestamps and Topological Sorting (Again)……Page 130
Infinite Mazes and Shortest (Unweighted) Paths……Page 132
Strongly Connected Components……Page 136
Summary……Page 139
Exercises……Page 140
References……Page 141
Tree-Shaped Problems: All About the Balance……Page 143
The Canonical D&C Algorithm……Page 146
Searching by Halves……Page 147
Traversing Search Trees … with Pruning……Page 148
Selection……Page 151
Sorting by Halves……Page 153
How Fast Can We Sort?……Page 155
Closest Pair……Page 156
Convex Hull……Page 158
Greatest Slice……Page 160
Tree Balance … and Balancing……Page 161
Summary……Page 166
Exercises……Page 167
References……Page 168
Staying Safe, Step by Step……Page 169
Fractional Knapsack……Page 173
Huffman’s Algorithm……Page 174
The Algorithm……Page 176
The First Greedy Choice……Page 177
Optimal Merging……Page 178
Minimum spanning trees……Page 179
The Shortest Edge……Page 180
What About the Rest?……Page 181
Kruskal’s Algorithm……Page 182
Prim’s Algorithm……Page 184
Keeping Up with the Best……Page 186
No Worse Than Perfect……Page 187
Staying Safe……Page 188
If You’re Curious ………Page 190
Exercises……Page 191
References……Page 192
Tangled Dependencies and Memoization……Page 193
Don’t Repeat Yourself……Page 194
Shortest Paths in Directed Acyclic Graphs……Page 200
Longest Increasing Subsequence……Page 202
Sequence Comparison……Page 205
The Knapsack Strikes Back……Page 208
Binary Sequence Partitioning……Page 211
If You’re Curious ………Page 214
Exercises……Page 215
References……Page 216
From A to B with Edsger and Friends……Page 217
Propagating Knowledge……Page 218
Relaxing like Crazy……Page 219
Finding the Hidden DAG……Page 222
All Against All……Page 224
Far-Fetched Subproblems……Page 226
Meeting in the Middle……Page 229
Knowing Where You’re Going……Page 231
Summary……Page 235
Exercises……Page 236
References……Page 237
Matchings, Cuts, and Flows……Page 239
Bipartite Matching……Page 240
Disjoint Paths……Page 243
Maximum Flow……Page 245
Minimum Cut……Page 249
Cheapest Flow and the Assignment Problem……Page 250
Some Applications……Page 252
If You’re Curious ………Page 255
Exercises……Page 256
References……Page 257
Reduction Redux……Page 259
Not in Kansas Anymore?……Page 262
Meanwhile, Back in Kansas ………Page 264
But Where Do You Start? And Where Do You Go from There?……Page 267
A ………Page 270
Return of the Knapsack……Page 272
Cliques and Colorings……Page 274
Paths and Circuits……Page 276
When the Going Gets Tough, the Smart Get Sloppy……Page 279
Desperately Seeking Solutions……Page 281
And the Moral of the Story Is ………Page 283
Exercises……Page 285
References……Page 287
Pedal to the Metal: Accelerating Python……Page 289
Problems……Page 293
Algorithms and Data Structures……Page 296
Graph Terminology……Page 303
Chapter 2……Page 309
Chapter 4……Page 311
Chapter 5……Page 314
Chapter 6……Page 315
Chapter 7……Page 317
Chapter 8……Page 318
Chapter 9……Page 319
Chapter 10……Page 320
Chapter 11……Page 321
¦ A……Page 325
¦ C……Page 326
¦ D……Page 327
¦ G……Page 328
¦ H……Page 329
¦……Page 330
¦ O……Page 331
¦ R……Page 332
¦ S……Page 333
¦ Z……Page 334

Product information

Publisher‏:‎Apress; 1st ed. edition (November 24, 2010)
Language‏:‎English
Paperback‏:‎352 pages
ISBN-10‏:‎1430232374
ISBN-13‏:‎978-1430232377
Item Weight‏:‎1.39 pounds
Dimensions‏:‎8.5 x 0.76 x 10.25 inches
1430232374

 

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