Holdings: An introduction to programming with Mathematica

An introduction to programming with Mathematica:

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Bibliographic Details
Previous Title:	Gaylord, Richard J. An introduction to programming with Mathematica
Main Authors:	Wellin, Paul R. (Author), Gaylord, Richard J. 1947- (Author), Kamin, Samuel N. (Author)
Format:	Book
Language:	English
Published:	Cambridge Cambridge University Press 2006
Edition:	3. ed., 3. print.
Subjects:	Mathematica (Computer program language) Mathematica > Programm
Online Access:	Inhaltsverzeichnis
Physical Description:	XX, 550 S. graph. Darst.
ISBN:	0521846781

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MARC


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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
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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
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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
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