The art of computer programming: 1 Fundamental algorithms
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Upper Saddle River, NJ ; Munich [u.a.]
Addison-Wesley
2011
|
| Ausgabe: | 3. ed., 28. print. |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIX, 652 S. graph. Darst. |
| ISBN: | 9780201896831 0201896834 |
Internformat
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| 100 | 1 | |a Knuth, Donald Ervin |d 1938- |e Verfasser |0 (DE-588)121578437 |4 aut | |
| 245 | 1 | 0 | |a The art of computer programming |n 1 |p Fundamental algorithms |c Donald E. Knuth |
| 250 | |a 3. ed., 28. print. | ||
| 264 | 1 | |a Upper Saddle River, NJ ; Munich [u.a.] |b Addison-Wesley |c 2011 | |
| 300 | |a XIX, 652 S. |b graph. Darst. | ||
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| _version_ | 1806176335728476160 |
| adam_text | CONTENTS
Chapter
1 — Basic
Concepts
1
1.1.
Algorithms
........................... 1
1.2.
Mathematical Preliminaries
.................... 10
1.2.1.
Mathematical Induction
................... 11
1.2.2.
Numbers, Powers, and Logarithms
.............. 21
1.2.3.
Sums and Products
..................... 27
1.2.4.
Integer Functions and Elementary Number Theory
....... 39
1.2.5.
Permutations and Factorials
................. 45
1.2.6.
Binomial Coefficients
.................... 52
1.2.7.
Harmonic Numbers
..................... 75
1.2.8.
Fibonacci Numbers
..................... 79
1.2.9.
Generating Functions
.................... 87
1.2.10.
Analysis of an Algorithm
.................. 96
* 1.2.11.
Asymptotic Representations
................. 107
♦1.2.11.1.
The O-notation
................... 107
♦1.2.11.2.
Euler s summation formula
.............
Ill
♦1.2.11.3.
Some asymptotic calculations
............ 116
1.3.
MIX
............................... 124
1.3.1.
Description of MIX
..................... 124
1.3.2.
The MIX Assembly Language
................. 144
1.3.3.
Applications to Permutations
................ 164
1.4.
Some Fundamental Programming Techniques
............ 186
1.4.1.
Subroutines
........................ 186
1.4.2.
Coroutines
......................... 193
1.4.3.
Interpretive Routines
.................... 200
1.4.3.1.
A MIX simulator
.................. 202
♦1.4.3.2.
Trace routines
................... 212
1.4.4.
Input and Output
..................... 215
1.4.5.
History and Bibliography
.................. 229
Chapter
2 —
Information Structures
................. 232
2.1.
Introduction
................... 232
2.2.
Linear Lists
........................... 238
2.2.1.
Stacks, Queues, and Deques
................. 238
2.2.2.
Sequential Allocation
.................... 244
2.2.3.
Linked Allocation
...................... 254
xviii
CONTENTS xix
2.2.4.
Circular
Lists
....................... 273
2.2.5.
Doubly Linked Lists
.................... 280
2.2.6.
Arrays and Orthogonal Lists
................. 298
2.3.
Trees
.............................. 308
2.3.1.
Traversing Binary Trees
................... 318
2.3.2.
Binary Tree Representation of Trees
............. 334
2.3.3.
Other Representations of Trees
................ 348
2.3.4.
Basic Mathematical Properties of Trees
............ 362
2.3.4.1.
Free trees
..................... 363
2.3.4.2.
Oriented trees
................... 372
♦2.3.4.3. The infinity lemma
................ 382
*2.3.4.4. Enumeration of trees
................ 386
2.3.4.5.
Path length
.................... 399
*2.3.4.6.
History and bibliography
.............. 406
2.3.5.
Lists and Garbage Collection
................. 408
2.4.
Multilinked Structures
...................... 424
2.5.
Dynamic Storage Allocation
.................... 435
2.6.
History and Bibliography
..................... 457
Answers to Exercises
........................ 466
Appendix A
—
Tables of Numerical Quantities
............ 619
1.
Fundamental Constants (decimal)
.............. 619
2.
Fundamental Constants (octal)
................ 620
3.
Harmonic Numbers, Bernoulli Numbers, Fibonacci Numbers
... 621
Appendix
В
—
Index to Notations
.................. 623
AppendixC
—
Index to Algorithms and Theorems
.......... 628
Index and Glossary
......................... 630
|
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| id | DE-604.BV037396964 |
| illustrated | Illustrated |
| indexdate | 2024-08-01T11:19:40Z |
| institution | BVB |
| isbn | 9780201896831 0201896834 |
| language | English |
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| physical | XIX, 652 S. graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
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| publisher | Addison-Wesley |
| record_format | marc |
| spellingShingle | Knuth, Donald Ervin 1938- The art of computer programming |
| title | The art of computer programming |
| title_auth | The art of computer programming |
| title_exact_search | The art of computer programming |
| title_full | The art of computer programming 1 Fundamental algorithms Donald E. Knuth |
| title_fullStr | The art of computer programming 1 Fundamental algorithms Donald E. Knuth |
| title_full_unstemmed | The art of computer programming 1 Fundamental algorithms Donald E. Knuth |
| title_short | The art of computer programming |
| title_sort | the art of computer programming fundamental algorithms |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022549738&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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Inhaltsverzeichnis
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