Mathematica by example:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Amsterdam [u.a.]
Elsevier Academic Press
2009
|
| Ausgabe: | 4. ed. |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016765519&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Includes bibliographical references and index |
| Umfang: | XI, 564 S. graph. Darst. 1 CD-ROM (12 cm) |
| ISBN: | 9780123743183 0123743184 |
Internformat
MARC
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| 245 | 1 | 0 | |a Mathematica by example |c Martha L. Abell and James P. Braselton |
| 250 | |a 4. ed. | ||
| 264 | 1 | |a Amsterdam [u.a.] |b Elsevier Academic Press |c 2009 | |
| 300 | |a XI, 564 S. |b graph. Darst. |e 1 CD-ROM (12 cm) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 630 | 0 | 4 | |a Mathematica (Computer file) |
| 650 | 4 | |a Mathematica (Computer file) | |
| 650 | 4 | |a Mathematics / Data processing | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematics |x Data processing | |
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Datensatz im Suchindex
| _version_ | 1819313256332787712 |
|---|---|
| adam_text | Contents
Preface
.................................... ix
CHAPTER
1
Getting Started
ι
1.1
Introduction to
Mathematica
..................... 1
A Note Regarding Different Versions of
Mathematica
.......................... 2
1.1.1
Getting Started with
Mathematica
.............. 3
Preview
............................. 13
Five Basic Rules of
Mathematica
Syntax
.............. 13
1.2
Loading Packages
........................... 13
1.2.1
Packages Included with Older Versions of
Mathematica
.......................... 14
1.2.2
Loading New Packages
.................... 15
1.3
Getting Help from
Mathematica
................... 17
Mathematica
Help
...................... 24
1.4
Exercises
................................ 28
CHAPTER
2
Basic Operations on Numbers,
Expressions, and Functions
31
2.1
Numerical Calculations and Built-in Functions
........... 31
2.1.1
Numerical Calculations
.................... 31
2.1.2
Built-in Constants
....................... 34
2.1.3
Built-in Functions
....................... 35
A Word of Caution
........................... 38
2.2
Expressions and Functions: Elementary Algebra
.......... 39
2.2.1
Basic Algebraic Operations on Expressions
........ 39
2.2.2
Naming and Evaluating Expressions
............. 44
2.2.3
Defining and Evaluating Functions
............. 41
2.3
Graphing Functions, Expressions, and Equations
......... 52
2.3.1
Functions of a Single Variable
................ 52
2.3.2
Parametric and Polar Plots in Two Dimensions
...... 65
2.3.3
Three-Dimensional and Contour Plots:
Graphing Equations
...................... 71
2.3.4
Parametric Curves and Surfaces in Space
.......... 82
2.35
Miscellaneous Comments
................... 94
2.4
Solving Equations
........................... 100
2.4.1
Exact Solutions of Equations
................. 100
2.4.2
Approximate Solutions of Equations
............ 110
2.5
Exercises
................................ 115
Contents
CHAPTER
3
Calculus H7
3.1
Limits and Continuity
......................... 117
3.1.1
Using Graphs and Tables to Predict Limits
......... 117
312
Computing Limits
....................... 121
3.1-3
One-Sided limits
........................ 123
3-1.4
Continuity
............................ 124
3.2
Differential Calculus
.......................... 128
3.2.1
Definition of the Derivative
................. 128
3.2.2
Calculating Derivatives
.................... 135
32.3
Implicit Differentiation
.................... 138
3.2.4
Tangent lines
.......................... 139
3.2.5
The First Derivative Test and Second
Derivative Test
......................... 148
32.6
Applied
Max/Min
Problems
.................. 156
32.7
Antidifferentiation
....................... 164
3.3
Integral Calculus
............................
l68
3.3.1
Area
............................... 168
332
The Definite Integral
..................... 174
3.3.3
Approximating Definite Integrals
.............. 179
3.3.4
Area
............................... 180
335
Arc Length
........................... 186
33.6
Solids of Revolution
...................... 190
3.4
Series
.................................. 201
3.4.1
Introduction to Sequences and Series
............ 201
3-4.2
Convergence Tests
....................... 205
3-4.3
Alternating Series
....................... 209
З.4.4
Power Series
.......................... 210
3-4.5
Taylor and Maclaurin Series
................. 213
3-4.6
Taylor s Theorem
....................... 217
З.4.7
Other Series
.......................... 220
3.5 Multivariable
Calculus
......................... 221
35.1
limits of Functions of Two Variables
............ 222
35.2
Partial and Directional Derivatives
.............. 224
35.3
Iterated Integrals
........................ 238
3.6
Exercises
................................ 246
CHAPTER
4
Introduction to Lists and Tables
251
4-1
Lists and List Operations
....................... 251
41.1
Defining lists
.......................... 251
4.1.2
Plotting lists of Points
.................... 258
4-2
Manipulating lists: More on Part and Map
............. 269
4.2.1
More on Graphing lists: Graphing lists of Points
Using Graphics Primitives
.................. 277
4.2.2
Miscellaneous list Operations
................ 283
Contents
I
vii
4.3
Other
Applications
.......................... 283
4.3.1
Approximating lists with Functions
............. 283
4.32
Introduction to Fourier Series
................ 287
4.33
The Mandelbrot Set and Julia Sets
.............. 299
4.4
Exercises
................................ 311
CHAPTER
5
Matrices and Vectors: Topics from
Linear Algebra and Vector Calculus
317
5.1
Nested lists: Introduction to Matrices, Vectors, and
Matrix Operations
........................... 317
5.1.1
Defining Nested lists, Matrices, and Vectors
........ 317
5.1.2
Extracting Elements of Matrices
............... 322
5.1.3
Basic Computations with Matrices
............. 325
5.1.4
Basic Computations with Vectors
.............. 329
5.2
Linear Systems of Equations
..................... 337
5.2.1
Calculating Solutions of linear Systems of
Equations
............................ 337
5.2.2
Gauss-Jordan Elimination
................... 342
5.3
Selected Topics from linear Algebra
................ 349
5.3.1
Fundamental Subspaces Associated with
Matrices
............................. 349
5.32
The Gram-Schmidt Process
................. 351
5.33
linear Transformations
.................... 355
5.3-4
Eigenvalues and Eigenvectors
................ 358
5.3.5
Jordan Canonical Form
.................... 361
5.36
The QR Method
........................ 364
5.4
Maxima and Minima Using linear Programming
.......... 366
5.4.1
The Standard Form of a linear Programming
Problem
............................. 366
5.4.2
The Dual Problem
....................... 368
5.5
Selected Topics from Vector Calculus
................ 374
5.5.1
Vector-Valued Functions
................... 374
5.5.2
line Integrals
.......................... 384
5.5.3
Surface Integrals
........................ 387
5.5.4
A Note on Nonorientability
................. 391
5.5-5
More on Tangents, Normals, and Curvature in
72 .... 404
5.6
Matrices and Graphics
........................ 415
5.7
Exercises
................................ 430
CHAPTER
6
Applications Related to Ordinary and
Partial Differential Equations
435
6.1
First-Order Differential Equations
.................. 435
6.1.1
Separable Equations
...................... 435
6.1.2
linear Equations
........................ 442
vili
I Contents
6.1.3
Nonlinear Equations
...................... 450
6.1.4
Numerical Methods
...................... 453
6.2
Second-Order Linear Equations
................... 457
6.2.1
Basic Theory
.......................... 457
6.2.2
Constant Coefficients
..................... 458
6.2.3
Undetermined Coefficients
.................. 464
6.2.4
Variation of Parameters
.................... 470
6.3
Higher-Order Linear Equations
.................... 472
6.3.1
Basic Theory
.......................... 472
6.3.2
Constant Coefficients
..................... 473
6.3.3
Undetermined Coefficients
.................. 475
6.3.4
Laplace Transform Methods
................. 481
6.3.5
Nonlinear Higher-Order Equations
.............. 492
6.4
Systems of Equations
......................... 492
6.4.1
Linear Systems
......................... 492
6.4.2
Nonhomogeneous Linear Systems
.............. 505
6.4.3
Nonlinear Systems
....................... 511
6.5
Some Partial Differential Equations
................. 532
6.5.1
The One-Dimensional Wave Equation
............ 532
6.5.2
The Two-Dimensional Wave Equation
............ 537
6.5.3
Other Partial Differential Equations
............. 547
6.6
Exercises
................................ 550
References
557
Index
559
|
| any_adam_object | 1 |
| author | Abell, Martha L. 1962- Braselton, James P. 1965- |
| author_GND | (DE-588)130087025 (DE-588)135895197 |
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| callnumber-label | QA76 |
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| callnumber-search | QA76.95 |
| callnumber-sort | QA 276.95 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | ST 601 |
| ctrlnum | (OCoLC)845415216 (DE-599)BVBBV035097490 |
| dewey-full | 510.285 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.285 |
| dewey-search | 510.285 |
| dewey-sort | 3510.285 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| edition | 4. ed. |
| format | Book |
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| id | DE-604.BV035097490 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T13:20:06Z |
| institution | BVB |
| isbn | 9780123743183 0123743184 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016765519 |
| oclc_num | 845415216 |
| open_access_boolean | |
| owner | DE-29T DE-92 |
| owner_facet | DE-29T DE-92 |
| physical | XI, 564 S. graph. Darst. 1 CD-ROM (12 cm) |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Elsevier Academic Press |
| record_format | marc |
| spellingShingle | Abell, Martha L. 1962- Braselton, James P. 1965- Mathematica by example Mathematica (Computer file) Mathematics / Data processing Datenverarbeitung Mathematik Mathematics Data processing Mathematik (DE-588)4037944-9 gnd Mathematica Programm (DE-588)4268208-3 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4268208-3 |
| title | Mathematica by example |
| title_auth | Mathematica by example |
| title_exact_search | Mathematica by example |
| title_full | Mathematica by example Martha L. Abell and James P. Braselton |
| title_fullStr | Mathematica by example Martha L. Abell and James P. Braselton |
| title_full_unstemmed | Mathematica by example Martha L. Abell and James P. Braselton |
| title_short | Mathematica by example |
| title_sort | mathematica by example |
| topic | Mathematica (Computer file) Mathematics / Data processing Datenverarbeitung Mathematik Mathematics Data processing Mathematik (DE-588)4037944-9 gnd Mathematica Programm (DE-588)4268208-3 gnd |
| topic_facet | Mathematica (Computer file) Mathematics / Data processing Datenverarbeitung Mathematik Mathematics Data processing Mathematica Programm |
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