Maple and mathematica: a problem solving approach for mathematics
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Wien [u.a.]
Springer
2009
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 483 S. CD-ROM (12 cm) |
| ISBN: | 9783211994313 |
Internformat
MARC
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|---|---|---|---|
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| 003 | DE-604 | ||
| 005 | 20091013 | ||
| 007 | t | ||
| 008 | 091001s2009 |||| 00||| eng d | ||
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| 100 | 1 | |a Shingareva, Inna |e Verfasser |0 (DE-588)101843142X |4 aut | |
| 245 | 1 | 0 | |a Maple and mathematica |b a problem solving approach for mathematics |c Inna Shingareva ; Carlos Lizárraga-Celaya |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Wien [u.a.] |b Springer |c 2009 | |
| 300 | |a XVII, 483 S. |e CD-ROM (12 cm) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 630 | 0 | 4 | |a Maple (Computer file) |
| 630 | 0 | 4 | |a Mathematica (Computer file) |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Algebra |x Data processing | |
| 650 | 4 | |a Problem solving |x Data processing | |
| 650 | 0 | 7 | |a Maple |g Programm |0 (DE-588)4209397-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematica |g Programm |0 (DE-588)4268208-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Maple |g Programm |0 (DE-588)4209397-1 |D s |
| 689 | 0 | 1 | |a Mathematica |g Programm |0 (DE-588)4268208-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Lizárraga-Celaya, Carlos |e Verfasser |0 (DE-588)1018431675 |4 aut | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018610194&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-018610194 | ||
Datensatz im Suchindex
| _version_ | 1804140667919663104 |
|---|---|
| adam_text | Titel: Maple and mathematica
Autor: Shingareva, Inna
Jahr: 2009
Contents
Part I Foundations of Maple and Mathematica 1
1 Maple 3
1.1 Introduction................................. 3
1.1.1 History ................................ 3
1.1.2 Basic Features ............................ 4
1.1.3 Design................................. 4
1.2 Basic Concepts............................... 5
1.2.1 First Steps .............................. 5
1.2.2 Help System.............................. 5
1.2.3 Worksheets and Interface...................... 6
1.2.4 Packages................................ 7
1.2.5 Numerical Evaluation ........................ 7
1.3 Maple Language .............................. 8
1.3.1 Basic Principles............................ 9
1.3.2 Constants............................... 11
1.3.3 Functions............................... 12
1.3.4 Procedures and Modules....................... 16
1.3.5 Control Structures.......................... 18
1.3.6 Objects and Operations....................... 20
2 Mathematica 23
2.1 Introduction................................. 23
2.1.1 History ................................ 23
2.1.2 Basic Features ............................ 24
2.1.3 Design................................. 25
2.1.4 Changes for New Versions...................... 25
2.2 Basic Concepts............................... 26
2.2.1 First Steps .............................. 26
2.2.2 Help System.............................. 26
2.2.3 Notebook and Front End ...................... 27
2.2.4 Packages................................ 28
2.2.5 Numerical Evaluation ........................ 29
2.3 Mathematica Language........................... 29
2.3.1 Basic Principles............................ 30
Contents
2.3.2 Constants............................... 35
2.3.3 Functions............................... 36
2.3.4 Modules................................ 40
2.3.5 Control Structures.......................... 41
2.3.6 Objects and Operations....................... 43
2.3.7 Dynamic Objects........................... 48
Part II Mathematics: Maple and Mathematica 49
3 Graphics 51
3.1 Simple Graphs............................... 51
3.2 Various Options............................... 51
3.3 Multiple Graphs.............................. 54
3.4 Text in Graphs............................... 57
3.5 Special Graphs............................... 58
3.6 Animations................................. 64
4 Algebra 69
4.1 Finite Sets.................................. 69
4.2 Infinite Sets................................. 72
4.3 Operations on Sets............................. 84
4.4 Equivalence Relations and Induction................... 85
4.5 Mathematical Expressions......................... 86
4.6 Simplifying Mathematical Expressions.................. 89
4.7 Trigonometric and Hyperbolic Expressions................ 91
4.8 Defining Functions or Mappings...................... 95
4.9 Operations on Functions.......................... 103
4.10 Univariate and Multivariate Polynomials................. 108
4.11 Groups.................................... 113
4.12 Rings, Integral Domains, and Fields................... 125
5 Linear Algebra 133
5.1 Vectors ...................................134
5.2 Matrices...................................141
5.3 Functions of Matrices ...........................151
5.4 Vector Spaces................................154
5.5 Normed and Inner Product Vector Spaces................156
5.6 Systems of Linear Equations........................158
5.7 Linear Transformations ..........................160
5.8 Eigenvalues and Eigenvectors.......................162
5.9 Matrix Decompositions and Equivalence Relations...........164
5.10 Bilinear and Quadratic Forms.......................168
5.11 Linear Algebra with Modular Arithmetic.................171
5.12 Linear Algebra over Rings and Fields...................174
5.13 Tensors......................... 178
Contents
6 Geometry 189
6.1 Points in the Plane and Space....................... 189
6.2 Parametric Curves............................. 191
6.3 Implicitly Defined Curves......................... 194
6.4 Curves in Polar Coordinates........................ 194
6.5 Secant and Tangent Lines......................... 196
6.6 Tubes and Knots.............................. 197
6.7 Surfaces in Space.............................. 198
6.8 Level Curves and Surfaces......................... 200
6.9 Surfaces of Revolution........................... 201
6.10 Vector Fields................................ 203
6.11 Cylindrical Coordinates.......................... 204
6.12 Spherical Coordinates........................... 205
6.13 Standard Geometric Shapes........................ 205
7 Calculus and Analysis 207
7.1 Real Functions............................... 207
7.2 Limits of Sequences and Functions.................... 209
7.3 Continuity of Functions.......................... 210
7.4 Differential Calculus............................ 212
7.5 Integral Calculus.............................. 218
7.6 Series.................................... 228
7.7 Multivariate and Vector Calculus..................... 234
8 Complex Functions 245
8.1 Complex Algebra.............................. 245
8.2 Complex Functions and Derivatives.................... 248
8.3 Complex Integration............................ 253
8.4 Sequences and Series............................ 255
8.5 Singularities and Residue Theory..................... 258
8.6 Transformations and Mappings...................... 259
9 Special Functions and Orthogonal Polynomials 261
9.1 Functions Defined by Integrals...................... 261
9.2 Orthogonal Polynomials.......................... 263
9.3 Functions Defined by Trascendental Equations............. 264
9.4 Functions Defined by Differential Equations............... 264
9.5 Functions Defined by Infinite Series.................... 267
9.6 Generalized Functions or Distributions.................. 267
10 Integral and Discrete Transforms 269
10.1 Laplace Transforms............................. 269
10.2 Integral Fourier Transforms........................ 274
10.3 Discrete Fourier Transforms........................ 278
10.4 Hankel Transforms............................. 281
xvüi Contents
11 Mathematical Equations 285
11.1 Algebraic and Trascendental Equations..................285
11.2 Ordinary Differential Equations......................291
11.3 Partial Differential Equations.......................300
11.4 Integral Equations.............................316
12 Numerical Analysis and Scientific Computing 341
12.1 Nonlinear Equations............................344
12.2 Approximation of Functions and Data..................356
12.3 Numerical Differentiation and Integration................378
12.4 Linear Systems of Equations........................395
12.5 Differential Equations...........................405
References....................................... 441
General Index..................................... 446
Maple Index...................................... 459
Mathematica Index.................................. 472
CD-ROM Contents.................................. 484
|
| any_adam_object | 1 |
| author | Shingareva, Inna Lizárraga-Celaya, Carlos |
| author_GND | (DE-588)101843142X (DE-588)1018431675 |
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| callnumber-subject | QA - Mathematics |
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| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV035750134 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:03:38Z |
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| isbn | 9783211994313 |
| language | English |
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| physical | XVII, 483 S. CD-ROM (12 cm) |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
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| spelling | Shingareva, Inna Verfasser (DE-588)101843142X aut Maple and mathematica a problem solving approach for mathematics Inna Shingareva ; Carlos Lizárraga-Celaya 2. ed. Wien [u.a.] Springer 2009 XVII, 483 S. CD-ROM (12 cm) txt rdacontent n rdamedia nc rdacarrier Maple (Computer file) Mathematica (Computer file) Datenverarbeitung Algebra Data processing Problem solving Data processing Maple Programm (DE-588)4209397-1 gnd rswk-swf Mathematica Programm (DE-588)4268208-3 gnd rswk-swf Maple Programm (DE-588)4209397-1 s Mathematica Programm (DE-588)4268208-3 s DE-604 Lizárraga-Celaya, Carlos Verfasser (DE-588)1018431675 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018610194&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Shingareva, Inna Lizárraga-Celaya, Carlos Maple and mathematica a problem solving approach for mathematics Maple (Computer file) Mathematica (Computer file) Datenverarbeitung Algebra Data processing Problem solving Data processing Maple Programm (DE-588)4209397-1 gnd Mathematica Programm (DE-588)4268208-3 gnd |
| subject_GND | (DE-588)4209397-1 (DE-588)4268208-3 |
| title | Maple and mathematica a problem solving approach for mathematics |
| title_auth | Maple and mathematica a problem solving approach for mathematics |
| title_exact_search | Maple and mathematica a problem solving approach for mathematics |
| title_full | Maple and mathematica a problem solving approach for mathematics Inna Shingareva ; Carlos Lizárraga-Celaya |
| title_fullStr | Maple and mathematica a problem solving approach for mathematics Inna Shingareva ; Carlos Lizárraga-Celaya |
| title_full_unstemmed | Maple and mathematica a problem solving approach for mathematics Inna Shingareva ; Carlos Lizárraga-Celaya |
| title_short | Maple and mathematica |
| title_sort | maple and mathematica a problem solving approach for mathematics |
| title_sub | a problem solving approach for mathematics |
| topic | Maple (Computer file) Mathematica (Computer file) Datenverarbeitung Algebra Data processing Problem solving Data processing Maple Programm (DE-588)4209397-1 gnd Mathematica Programm (DE-588)4268208-3 gnd |
| topic_facet | Maple (Computer file) Mathematica (Computer file) Datenverarbeitung Algebra Data processing Problem solving Data processing Maple Programm Mathematica Programm |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018610194&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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