An introduction to programming with Mathematica:
Gespeichert in:
| Vorheriger Titel: | Gaylord, Richard J. An introduction to programming with Mathematica |
|---|---|
| Hauptverfasser: | , , |
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2006
|
| Ausgabe: | 3. ed., 3. print. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XX, 550 S. graph. Darst. |
| ISBN: | 0521846781 |
Internformat
MARC
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| 100 | 1 | |a Wellin, Paul R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An introduction to programming with Mathematica |c Paul R. Wellin, Richard J. Gaylord, Samuel N. Kamin |
| 246 | 1 | 3 | |a Programming with Mathematica |
| 250 | |a 3. ed., 3. print. | ||
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2006 | |
| 300 | |a XX, 550 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Mathematica (Computer program language) | |
| 650 | 4 | |a Mathematica (Computer program language) | |
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| 700 | 1 | |a Gaylord, Richard J. |d 1947- |e Verfasser |0 (DE-588)172634547 |4 aut | |
| 700 | 1 | |a Kamin, Samuel N. |e Verfasser |4 aut | |
| 780 | 0 | 0 | |i Frühere Auflage |a Gaylord, Richard J. |t An introduction to programming with Mathematica |
| 856 | 4 | 2 | |m Digitalisierung UB Bamberg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014938623&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Datensatz im Suchindex
| _version_ | 1804135568775315456 |
|---|---|
| adam_text | Contents
Preface
· xi
An
introduction
to
Mathematica
1.1
A brief overview
oí
Mathematica
· 1
Numerical computations
■
Symbolic computations
■
Graphics
·
Working with data
·
Programming
■
Symbolic and interactive documents
1.2
Using
Mathematica
·
IS
Getting into and out of
Mathematica
■
The syntax
ofinputs
■
Alternate input syntax
The front end and the kernel
■
Errors
■
Getting help
·
The Help Browser
2
The
Mathematica
language
2.1
Expressions
· 31
Introduction
■
Internal
f
orms
of expressions
■
Atoms
■
The structure of expressions
■
Exercises
2.2
Definitions
-57
Defining variables and functions
·
Immediate vs. delayed assignments
·
The global rule
base
■
Piecewise-defined functions
·
Functions with multiple definitions
·
Exercises
2.3
Predicates and Boolean operations
· 45
Predicates
·
Relational and logical operators
·
Exercises
2.4
Attributes
·
SO
vi
An Introduction to Programming with
Mathematica
3
Lists
3.1
Introduction
· S3
3.2
Creating and measuring lists
·
SS
List construction
·
Measuring lists
·
Exercises
3.3
Manipulating lists
· 60
Testing a list
■
Extracting elements
■
Rearranging lists
■
List component assignment
■
Exercises
3.4
Working with several lists
· 69
Exercises
3.5
Strings and characters
· 10
Exercises
4
Functional programming
4.1
Introduction
·
IS
4.2
Functions for manipulating expressions
· 77
Map
·
Thread and MapThread
·
The Listable attribute
·
Apply
■
Inner and Outer
·
Exercises
4.3
Iterating functions
· 86
Exercises
4.4
Programs as functions
· 88
User-defined junctions
·
Building up programs
·
Exercises
4.5
Auxiliary functions
· 96
Compound functions
·
Localizing names: Module
■
Localizing values: Block
·
Localizing constants: With
·
Exercises
4.6
Pure functions
-102
Exercises
4.7
One-liners
■ 101
Hamming distance
·
The Josephus problem
·
Pocket change
·
Exercises
Contents
vii
5
Procedural
programming
5.1
Introduction
·
IIS
5.2
Loops and iteration
· 116
Newton s method
■
Do loops
■
While loops
·
NestWhile and NestWhileList
■
Exercises
5.3
Flow control
· 131
Conditional functions
■
Multiclause definitions
·
Which and Switch
■
Piecewise
■
Argument checking
■
Summary
·
Exercises
5.4
Examples
· 142
Sieve of Eratosthenes
·
Classifying points
·
Exercises
6
Rule-based programming
6.1
Introduction
· 149
6.2
Patterns
·
HI
Blanks
■
Sequence pattern matching
■
Example: Finding subsequences
■
Conditional
pattern matching
■
Alternatives
·
String patterns
■
Exercises
6.3
Transformation rules
· 164
Introduction
■
Example: Counting coins
·
Example: Finding maxima
·
Exercises
6.4
Examples-
170
Encoding text
■
Sorting a list
■
Exercises
7
Recursion
7.1
Fibonacci numbers
· 277
Exercises
7.2
List functions
-180
Exercises
7.3
Thinking recursively: examples
· 183
Finding maxima
·
Subsets
■
Run-length encoding
■
Exercises
7.4
Recursion and symbolic computations
· 192
Exercises
7.5
Classical examples
· 198
Merge sort
·
Gaussian elimination
·
Trees
■
Huffman encoding
·
Exercises
viii
An Introduction to Programming with
Mathematica
7.6
Dynamic programming
· 216
Exercises
7.7
Higher-order functions and recursion
· 219
Exercises
8
Numerics
8.1
Introduction
· 221
8.2
Numbers
· 224
Types of numbers
■
Digits and number bases
·
Random numbers
■
Exercises
8.3
Working with numbers
· 234
Precision and accuracy
·
Representation of approximate numbers
·
Exact vs.
approximate numbers
·
High precision vs. machine precision
■
Roundoff errors
■
Computing with different number types
■
Exercises
8.4
Working with arrays of numbers
· 247
Sparse arrays
·
Packed arrays
·
Exercises
8.5
Numerical computations
· 253
Working with precision and accuracy
■
Newton s method revisited
■
Gaussian
elimination revisited
■
Exercises
9
Graphics programming
9.1
Structure of graphics
· 269
Primitives, directives, and options
■
Exercises
9.2
Graphics programming
· 279
Root plotting
·
Plotting data
■
Simple closed paths
■
Drawing trees
·
Exercises
9.3
Sound
· 298
The sound of mathematics
■
White noise, white music
■
Brownian music
■
Exercises
10
Front end programming
10.1
Introduction
· 309
10.2
The structure of cells and notebooks
· 310
Notebook expressions
■
Manipulating notebooks
■
Exercises
Contents ix
10.3
Cell data types
· 319
TextData
■
BoxData
■
GraphicsData
■
Exercises
10.4
GridBoxes
· 324
ShowTable
·
TriangleForm
■
Exercises
10.5
Buttons
· 331
Making buttons the easy way
■
The structure of buttons
■
ButtonStyle
■
ButtonFunction
Example: An evaluate button
·
Exercises
11
Examples and applications
11.1
Manipulating data files
· 341
Introduction
■
Getting the data into
Mathematica
·
Examining the data file
■
Extracting
and converting data
■
Visualizing the data
■
Exercises
11.2
Random walks
· 351
Introduction
■
The one-dimensional random walk
·
The two-dimensional random walk
■
Visualizing the random walk
■
The three-dimensional random walk
■
Adding options
and defaults
■
Error-trapping and messaging
■
Creating Help Browser documentation
·
Exercises
11.3
The Game of Life
· 366
Exercises
11.4
Implementing languages
· 31 4
Introduction to PDL
·
Syntax
■
Parsing
■
Lexical analysis
■
Computing shapes
12
Writing packages
12.1
Introduction
· 395
12.2
Using packages
· 396
Loading packages
■
Finding out what is in a package
·
Avoiding name collisions
12.3
Contexts
-401
12
A The elements of packages
· 406
12.5
Writing your own packages
· 408
The RandomWalks package
■
Exercises
An Introduction to Programming with
Mathematica
Appendix A How expressions are evaluated
· 417
Appendix
В
Debugging
· 420
References
· 427
Solutions to exercises
2
The
Mathematica
language
· 431
3
Lists
· 434
4
Functional programming
· 441
5
Procedural programming
· 459
6
Rule-based programming
· 468
7
Recursion
· 480
8
Numerics
· 492
9
Graphics programming
· 503
10
Front end programming
· 522
11
Examples and applications
· 5291
12
Writing packages
· 537
Index
· 539
|
| adam_txt |
Contents
Preface
· xi
An
introduction
to
Mathematica
1.1
A brief overview
oí
Mathematica
· 1
Numerical computations
■
Symbolic computations
■
Graphics
·
Working with data
·
Programming
■
Symbolic and interactive documents
1.2
Using
Mathematica
·
IS
Getting into and out of
Mathematica
■
The syntax
ofinputs
■
Alternate input syntax
The front end and the kernel
■
Errors
■
Getting help
·
The Help Browser
2
The
Mathematica
language
2.1
Expressions
· 31
Introduction
■
Internal
f
orms
of expressions
■
Atoms
■
The structure of expressions
■
Exercises
2.2
Definitions
-57
Defining variables and functions
·
Immediate vs. delayed assignments
·
The global rule
base
■
Piecewise-defined functions
·
Functions with multiple definitions
·
Exercises
2.3
Predicates and Boolean operations
· 45
Predicates
·
Relational and logical operators
·
Exercises
2.4
Attributes
·
SO
vi
An Introduction to Programming with
Mathematica
3
Lists
3.1
Introduction
· S3
3.2
Creating and measuring lists
·
SS
List construction
·
Measuring lists
·
Exercises
3.3
Manipulating lists
· 60
Testing a list
■
Extracting elements
■
Rearranging lists
■
List component assignment
■
Exercises
3.4
Working with several lists
· 69
Exercises
3.5
Strings and characters
· 10
Exercises
4
Functional programming
4.1
Introduction
·
IS
4.2
Functions for manipulating expressions
· 77
Map
·
Thread and MapThread
·
The Listable attribute
·
Apply
■
Inner and Outer
·
Exercises
4.3
Iterating functions
· 86
Exercises
4.4
Programs as functions
· 88
User-defined junctions
·
Building up programs
·
Exercises
4.5
Auxiliary functions
· 96
Compound functions
·
Localizing names: Module
■
Localizing values: Block
·
Localizing constants: With
·
Exercises
4.6
Pure functions
-102
Exercises
4.7
One-liners
■ 101
Hamming distance
·
The Josephus problem
·
Pocket change
·
Exercises
Contents
vii
5
Procedural
programming
5.1
Introduction
·
IIS
5.2
Loops and iteration
· 116
Newton's method
■
Do loops
■
While loops
·
NestWhile and NestWhileList
■
Exercises
5.3
Flow control
· 131
Conditional functions
■
Multiclause definitions
·
Which and Switch
■
Piecewise
■
Argument checking
■
Summary
·
Exercises
5.4
Examples
· 142
Sieve of Eratosthenes
·
Classifying points
·
Exercises
6
Rule-based programming
6.1
Introduction
· 149
6.2
Patterns
·
HI
Blanks
■
Sequence pattern matching
■
Example: Finding subsequences
■
Conditional
pattern matching
■
Alternatives
·
String patterns
■
Exercises
6.3
Transformation rules
· 164
Introduction
■
Example: Counting coins
·
Example: Finding maxima
·
Exercises
6.4
Examples-
170
Encoding text
■
Sorting a list
■
Exercises
7
Recursion
7.1
Fibonacci numbers
· 277
Exercises
7.2
List functions
-180
Exercises
7.3
Thinking recursively: examples
· 183
Finding maxima
·
Subsets
■
Run-length encoding
■
Exercises
7.4
Recursion and symbolic computations
· 192
Exercises
7.5
Classical examples
· 198
Merge sort
·
Gaussian elimination
·
Trees
■
Huffman encoding
·
Exercises
viii
An Introduction to Programming with
Mathematica
7.6
Dynamic programming
· 216
Exercises
7.7
Higher-order functions and recursion
· 219
Exercises
8
Numerics
8.1
Introduction
· 221
8.2
Numbers
· 224
Types of numbers
■
Digits and number bases
·
Random numbers
■
Exercises
8.3
Working with numbers
· 234
Precision and accuracy
·
Representation of approximate numbers
·
Exact vs.
approximate numbers
·
High precision vs. machine precision
■
Roundoff errors
■
Computing with different number types
■
Exercises
8.4
Working with arrays of numbers
· 247
Sparse arrays
·
Packed arrays
·
Exercises
8.5
Numerical computations
· 253
Working with precision and accuracy
■
Newton's method revisited
■
Gaussian
elimination revisited
■
Exercises
9
Graphics programming
9.1
Structure of graphics
· 269
Primitives, directives, and options
■
Exercises
9.2
Graphics programming
· 279
Root plotting
·
Plotting data
■
Simple closed paths
■
Drawing trees
·
Exercises
9.3
Sound
· 298
The sound of mathematics
■
White noise, white music
■
Brownian music
■
Exercises
10
Front end programming
10.1
Introduction
· 309
10.2
The structure of cells and notebooks
· 310
Notebook expressions
■
Manipulating notebooks
■
Exercises
Contents ix
10.3
Cell data types
· 319
TextData
■
BoxData
■
GraphicsData
■
Exercises
10.4
GridBoxes
· 324
ShowTable
·
TriangleForm
■
Exercises
10.5
Buttons
· 331
Making buttons the easy way
■
The structure of buttons
■
ButtonStyle
■
ButtonFunction
Example: An evaluate button
·
Exercises
11
Examples and applications
11.1
Manipulating data files
· 341
Introduction
■
Getting the data into
Mathematica
·
Examining the data file
■
Extracting
and converting data
■
Visualizing the data
■
Exercises
11.2
Random walks
· 351
Introduction
■
The one-dimensional random walk
·
The two-dimensional random walk
■
Visualizing the random walk
■
The three-dimensional random walk
■
Adding options
and defaults
■
Error-trapping and messaging
■
Creating Help Browser documentation
·
Exercises
11.3
The Game of Life
· 366
Exercises
11.4
Implementing languages
· 31 4
Introduction to PDL
·
Syntax
■
Parsing
■
Lexical analysis
■
Computing shapes
12
Writing packages
12.1
Introduction
· 395
12.2
Using packages
· 396
Loading packages
■
Finding out what is in a package
·
Avoiding name collisions
12.3
Contexts
-401
12
A The elements of packages
· 406
12.5
Writing your own packages
· 408
The RandomWalks package
■
Exercises
An Introduction to Programming with
Mathematica
Appendix A How expressions are evaluated
· 417
Appendix
В
Debugging
· 420
References
· 427
Solutions to exercises
2
The
Mathematica
language
· 431
3
Lists
· 434
4
Functional programming
· 441
5
Procedural programming
· 459
6
Rule-based programming
· 468
7
Recursion
· 480
8
Numerics
· 492
9
Graphics programming
· 503
10
Front end programming
· 522
11
Examples and applications
· 5291
12
Writing packages
· 537
Index
· 539 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Wellin, Paul R. Gaylord, Richard J. 1947- Kamin, Samuel N. |
| author_GND | (DE-588)172634547 |
| author_facet | Wellin, Paul R. Gaylord, Richard J. 1947- Kamin, Samuel N. |
| author_role | aut aut aut |
| author_sort | Wellin, Paul R. |
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| building | Verbundindex |
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| callnumber-raw | QA76.73.M29 |
| callnumber-search | QA76.73.M29 |
| callnumber-sort | QA 276.73 M29 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | ST 601 |
| classification_tum | DAT 306f |
| ctrlnum | (OCoLC)474679334 (DE-599)BVBBV021725008 |
| discipline | Informatik |
| discipline_str_mv | Informatik |
| edition | 3. ed., 3. print. |
| format | Book |
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| id | DE-604.BV021725008 |
| illustrated | Illustrated |
| index_date | 2024-07-02T15:24:31Z |
| indexdate | 2024-07-09T20:42:35Z |
| institution | BVB |
| isbn | 0521846781 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014938623 |
| oclc_num | 474679334 |
| open_access_boolean | |
| owner | DE-M347 DE-91G DE-BY-TUM DE-83 DE-473 DE-BY-UBG DE-20 |
| owner_facet | DE-M347 DE-91G DE-BY-TUM DE-83 DE-473 DE-BY-UBG DE-20 |
| physical | XX, 550 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Wellin, Paul R. Verfasser aut An introduction to programming with Mathematica Paul R. Wellin, Richard J. Gaylord, Samuel N. Kamin Programming with Mathematica 3. ed., 3. print. Cambridge Cambridge University Press 2006 XX, 550 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematica (Computer program language) Mathematica Programm (DE-588)4268208-3 gnd rswk-swf Mathematica Programm (DE-588)4268208-3 s DE-604 Gaylord, Richard J. 1947- Verfasser (DE-588)172634547 aut Kamin, Samuel N. Verfasser aut Frühere Auflage Gaylord, Richard J. An introduction to programming with Mathematica Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014938623&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wellin, Paul R. Gaylord, Richard J. 1947- Kamin, Samuel N. An introduction to programming with Mathematica Mathematica (Computer program language) Mathematica Programm (DE-588)4268208-3 gnd |
| subject_GND | (DE-588)4268208-3 |
| title | An introduction to programming with Mathematica |
| title_alt | Programming with Mathematica |
| title_auth | An introduction to programming with Mathematica |
| title_exact_search | An introduction to programming with Mathematica |
| title_exact_search_txtP | An introduction to programming with Mathematica |
| title_full | An introduction to programming with Mathematica Paul R. Wellin, Richard J. Gaylord, Samuel N. Kamin |
| title_fullStr | An introduction to programming with Mathematica Paul R. Wellin, Richard J. Gaylord, Samuel N. Kamin |
| title_full_unstemmed | An introduction to programming with Mathematica Paul R. Wellin, Richard J. Gaylord, Samuel N. Kamin |
| title_old | Gaylord, Richard J. An introduction to programming with Mathematica |
| title_short | An introduction to programming with Mathematica |
| title_sort | an introduction to programming with mathematica |
| topic | Mathematica (Computer program language) Mathematica Programm (DE-588)4268208-3 gnd |
| topic_facet | Mathematica (Computer program language) Mathematica Programm |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014938623&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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