Maple and mathematica: a problem solving approach for mathematics
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Wien [u.a.]
Springer
2007
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 263 S. |
| ISBN: | 9783211732649 |
Staff View
MARC
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| 245 | 1 | 0 | |a Maple and mathematica |b a problem solving approach for mathematics |c Inna Shingareva ; Carlos Lizárraga-Celaya |
| 264 | 1 | |a Wien [u.a.] |b Springer |c 2007 | |
| 300 | |a XIII, 263 S. | ||
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| 650 | 4 | |a Problem solving |x Data processing | |
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Record in the Search Index
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|---|---|
| adam_text | 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
...................... 5
1.2.4
Packages
................................ 6
1.2.5
Numerical Evaluation
........................ 7
1.3
Maple Language
.............................. 7
1.3.1
Basic Principles
............................ 8
1.3.2
Constants
............................... 10
1.3.3
Functions
............................... 11
1.3.4
Procedures and Modules
....................... 14
1.3.5
Control Structures
.......................... 16
1.3.6
Objects and Operations
....................... 18
2
Mathematica
21
2.1
Introduction
................................. 21
2.1.1
History
................................ 21
2.1.2
Basic Features
............................ 22
2.1.3
Design
................................. 22
2.2
Basic Concepts
............................... 23
2.2.1
First Steps
.............................. 23
2.2.2
Help System
.............................. 23
2.2.3
Notebook and Front End
...................... 24
2.2.4
Packages
................................ 24
2.2.5
Numerical Evaluation
........................ 25
2.3
Mathematica
Language
........................... 26
2.3.1
Basic Principles
............................ 26
2.3.2
Constants
............................... 32
Contents
2.3.3
Functions
............................... 32
2.3.4 Modules................................ 36
2.3.5
Control Structures
.......................... 37
2.3.6
Objects and Operations
....................... 39
Part II Mathematics: Maple and
Mathematica
45
3
Graphics
47
3.1
Simple Graphs
............................... 47
3.2
Various Options
............................... 48
3.3
Multiple Graphs
.............................. 50
3.4
Text in Graphs
............................... 53
3.5
Special Graphs
............................... 54
3.6
Animations
................................. 60
4
Algebra
65
4.1
Polynomials
................................. 65
4.2
Simplification
................................ 67
4.3
Linear Algebra
............................... 71
4.4
Tensors
................................... 85
5
Geometry
91
5.1
Points in the Plane and Space
....................... 91
5.2
Parametric Curves
............................. 94
5.3
Implicitly Defined Curves
......................... 96
5.4
Curves in Polar Coordinates
........................ 96
5.5
Secant and Tangent Lines
......................... 98
5.6
Tubes and Knots
.............................. 99
5.7
Surfaces in Space
.............................. 101
5.8
Level Curves and Surfaces
......................... 102
5.9
Surfaces of Revolution
........................... 104
5.10
Vector Fields
................................ 105
5.11
Cylindrical Coordinates
.......................... 106
5.12
Spherical Coordinates
........................... 106
5.13
Standard Geometric Shapes
........................ 107
6
Calculus
109
(5.1
Differential Calculus
............................ 109
6.2
Integral Calculus
.............................. 115
6.3
Series
.................................... 120
(i.4 Fourier Series
................................ 124
6.5
Multivariate and Vector Calculus
..................... 127
Contents
7
Complex
Functions
135
7.1
Complex Algebra
.............................. 135
7.2
Functions, Limits, Continuity
....................... 137
7.3
Sequences and Series
............................ 140
7.4
Transformations and Mappings
...................... 143
7.5
Differentiation and Integration
...................... 144
7.6
Singularities
................................. 145
8
Special Functions
147
8.1
Special Integrals
.............................. 147
8.2
Orthogonal Polynomials
.......................... 149
8.3
Trascendental Equations
.......................... 150
8.4
Differential Equations
........................... 151
8.5
Infinite Series
................................ 153
8.6
Distribution Functions
........................... 154
9
Integral and Discrete Transforms
155
9.1
Laplace Transforms
............................. 155
9.2
Integral Fourier Transforms
........................
1G1
9.3
Discrete Fourier Transforms
........................ 164
9.4
Hankel Transforms
............................. 168
10
Mathematical Equations
171
10.1
Algebraic and Trascendental Equations
.................. 171
10.2
Ordinary Differential Equations
...................... 177
10.3
Partial Differential Equations
....................... 187
10.4
Integral Equations
............................. 204
References
....................................... 231
General Index
..................................... 235
Maple Index
...................................... 244
Mathematica
Index
.................................. 254
|
| adam_txt |
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
. 5
1.2.4
Packages
. 6
1.2.5
Numerical Evaluation
. 7
1.3
Maple Language
. 7
1.3.1
Basic Principles
. 8
1.3.2
Constants
. 10
1.3.3
Functions
. 11
1.3.4
Procedures and Modules
. 14
1.3.5
Control Structures
. 16
1.3.6
Objects and Operations
. 18
2
Mathematica
21
2.1
Introduction
. 21
2.1.1
History
. 21
2.1.2
Basic Features
. 22
2.1.3
Design
. 22
2.2
Basic Concepts
. 23
2.2.1
First Steps
. 23
2.2.2
Help System
. 23
2.2.3
Notebook and Front End
. 24
2.2.4
Packages
. 24
2.2.5
Numerical Evaluation
. 25
2.3
Mathematica
Language
. 26
2.3.1
Basic Principles
. 26
2.3.2
Constants
. 32
Contents
2.3.3
Functions
. 32
2.3.4 Modules. 36
2.3.5
Control Structures
. 37
2.3.6
Objects and Operations
. 39
Part II Mathematics: Maple and
Mathematica
45
3
Graphics
47
3.1
Simple Graphs
. 47
3.2
Various Options
. 48
3.3
Multiple Graphs
. 50
3.4
Text in Graphs
. 53
3.5
Special Graphs
. 54
3.6
Animations
. 60
4
Algebra
65
4.1
Polynomials
. 65
4.2
Simplification
. 67
4.3
Linear Algebra
. 71
4.4
Tensors
. 85
5
Geometry
91
5.1
Points in the Plane and Space
. 91
5.2
Parametric Curves
. 94
5.3
Implicitly Defined Curves
. 96
5.4
Curves in Polar Coordinates
. 96
5.5
Secant and Tangent Lines
. 98
5.6
Tubes and Knots
. 99
5.7
Surfaces in Space
. 101
5.8
Level Curves and Surfaces
. 102
5.9
Surfaces of Revolution
. 104
5.10
Vector Fields
. 105
5.11
Cylindrical Coordinates
. 106
5.12
Spherical Coordinates
. 106
5.13
Standard Geometric Shapes
. 107
6
Calculus
109
(5.1
Differential Calculus
. 109
6.2
Integral Calculus
. 115
6.3
Series
. 120
(i.4 Fourier Series
. 124
6.5
Multivariate and Vector Calculus
. 127
Contents
7
Complex
Functions
135
7.1
Complex Algebra
. 135
7.2
Functions, Limits, Continuity
. 137
7.3
Sequences and Series
. 140
7.4
Transformations and Mappings
. 143
7.5
Differentiation and Integration
. 144
7.6
Singularities
. 145
8
Special Functions
147
8.1
Special Integrals
. 147
8.2
Orthogonal Polynomials
. 149
8.3
Trascendental Equations
. 150
8.4
Differential Equations
. 151
8.5
Infinite Series
. 153
8.6
Distribution Functions
. 154
9
Integral and Discrete Transforms
155
9.1
Laplace Transforms
. 155
9.2
Integral Fourier Transforms
.
1G1
9.3
Discrete Fourier Transforms
. 164
9.4
Hankel Transforms
. 168
10
Mathematical Equations
171
10.1
Algebraic and Trascendental Equations
. 171
10.2
Ordinary Differential Equations
. 177
10.3
Partial Differential Equations
. 187
10.4
Integral Equations
. 204
References
. 231
General Index
. 235
Maple Index
. 244
Mathematica
Index
. 254 |
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| id | DE-604.BV022819894 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T18:39:38Z |
| indexdate | 2024-07-09T21:06:52Z |
| institution | BVB |
| isbn | 9783211732649 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016025264 |
| oclc_num | 181141420 |
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| owner | DE-945 DE-355 DE-BY-UBR DE-578 |
| owner_facet | DE-945 DE-355 DE-BY-UBR DE-578 |
| physical | XIII, 263 S. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Springer |
| record_format | marc |
| spelling | Shingareva, Inna Verfasser (DE-588)101843142X aut Maple and mathematica a problem solving approach for mathematics Inna Shingareva ; Carlos Lizárraga-Celaya Wien [u.a.] Springer 2007 XIII, 263 S. 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 b DE-604 Lizárraga-Celaya, Carlos Verfasser (DE-588)1018431675 aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016025264&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_exact_search_txtP | 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=016025264&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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