Mathematica by Example

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

ISBN: 9780123743183 | 0123743184
Cover: Paperback
Copyright: 9/9/2008

eBook

Available Instantly

Online: 1825 Days

Downloadable: Lifetime Access

$80.94

Mathematica by Example, 4e is designed to introduce the Mathematica programming language to a wide audience. This is the ideal text for all scientific students, researchers, and programmers wishing to learn or deepen their understanding of Mathematica. The program is used to help professionals, researchers, scientists, students and instructors solve complex problems in a variety of fields, including biology, physics, and engineering. - Clear organization, complete topic coverage, and accessible exposition for novices - Fully compatible with Mathematica 6.0 - New applications, exercises and examples from a variety of fields including biology, physics and engineering - Includes a CD-ROM with all Mathematica input appearing in the book, useful to students so they do not have to type in code and commands

Preface	p. ix
Getting Started	p. 1
Introduction to Mathematica	p. 1
A Note Regarding Different Versions of Mathematica	p. 2
Getting Started with Mathematica	p. 3
Preview	p. 13
Five Basic Rules of Mathematica Syntax	p. 13
Loading Packages	p. 13
Packages Included with Older Versions of Mathematica	p. 14
Loading New Packages	p. 15
Getting Help from Mathematica	p. 17
Mathematica Help	p. 24
Exercises	p. 28
Basic Operations on Numbers, Expressions, and Functions	p. 31
Numerical Calculations and Built-in Functions	p. 31
Numerical Calculations	p. 31
Built-in Constants	p. 34
Built-in Functions	p. 35
A Word of Caution	p. 38
Expressions and Functions: Elementary Algebra	p. 39
Basic Algebraic Operations on Expressions	p. 39
Naming and Evaluating Expressions	p. 44
Defining and Evaluating Functions	p. 47
Graphing Functions, Expressions, and Equations	p. 52
Functions of a Single Variable	p. 52
Parametric and Polar Plots in Two Dimensions	p. 65
Three-Dimensional and Contour Plots: Graphing Equations	p. 71
Parametric Curves and Surfaces in Space	p. 82
Miscellaneous Comments	p. 94
Solving Equations	p. 100
Exact Solutions of Equations	p. 100
Approximate Solutions of Equations	p. 110
Exercises	p. 115
Calculus	p. 117
Limits and Continuity	p. 117
Using Graphs and Tables to Predict Limits	p. 117
Computing Limits	p. 121
One-Sided Limits	p. 123
Continuity	p. 124
Differential Calculus	p. 128
Definition of the Derivative	p. 128
Calculating Derivatives	p. 135
Implicit Differentiation	p. 138
Tangent Lines	p. 139
The First Derivative Test and Second Derivative Test	p. 148
Applied Max/Min Problems	p. 156
Antidifferentiation	p. 164
Integral Calculus	p. 168
Area	p. 168
The Definite Integral	p. 174
Approximating Definite Integrals	p. 179
Area	p. 180
Arc Length	p. 186
Solids of Revolution	p. 190
Series	p. 201
Introduction to Sequences and Series	p. 201
Convergence Tests	p. 205
Alternating Series	p. 209
Power Series	p. 210
Taylor and Maclaurin Series	p. 213
Taylor's Theorem	p. 217
Other Series	p. 220
Multivariable Calculus	p. 221
Limits of Functions of Two Variables	p. 222
Partial and Directional Derivatives	p. 224
Iterated Integrals	p. 238
Exercises	p. 246
Introduction to Lists and Tables	p. 251
Lists and List Operations	p. 251
Defining Lists	p. 251
Plotting Lists of Points	p. 258
Manipulating Lists: More on Part and Map	p. 269
More on Graphing Lists: Graphing Lists of Points Using Graphics Primitives	p. 277
Miscellaneous List Operations	p. 283
Other Applications	p. 283
Approximating Lists with Functions	p. 283
Introduction to Fourier Series	p. 287
The Mandelbrot Set and Julia Sets	p. 299
Exercises	p. 311
Matrices and Vectors: Topics from Linear Algebra and Vector Calculus	p. 317
Nested Lists: Introduction to Matrices, Vectors, and Matrix Operations	p. 317
Defining Nested Lists, Matrices, and Vectors	p. 317
Extracting Elements of Matrices	p. 322
Basic Computations with Matrices	p. 325
Basic Computations with Vectors	p. 329
Linear Systems of Equations	p. 337
Calculating Solutions of Linear Systems of Equations	p. 337
Gauss-Jordan Elimination	p. 342
Selected Topics from Linear Algebra	p. 349
Fundamental Subspaces Associated with Matrices	p. 349
The Gram-Schmidt Process	p. 351
Linear Transformations	p. 355
Eigenvalues and Eigenvectors	p. 358
Jordan Canonical Form	p. 361
The QR Method	p. 364
Maxima and Minima Using Linear Programming	p. 366
The Standard Form of a Linear Programming Problem	p. 366
The Dual Problem	p. 368
Selected Topics from Vector Calculus	p. 374
Vector-Valued Functions	p. 374
Line Integrals	p. 384
Surface Integrals	p. 387
A Note on Nonorientability	p. 391
More on Tangents, Normals, and Curvature in R[superscript 3]	p. 404
Matrices and Graphics	p. 415
Exercises	p. 430
Applications Related to Ordinary and Partial Differential Equations	p. 435
First-Order Differential Equations	p. 435
Separable Equations	p. 435
Linear Equations	p. 442
Nonlinear Equations	p. 450
Numerical Methods	p. 453
Second-Order Linear Equations	p. 457
Basic Theory	p. 457
Constant Coefficients	p. 458
Undetermined Coefficients	p. 464
Variation of Parameters	p. 470
Higher-Order Linear Equations	p. 472
Basic Theory	p. 472
Constant Coefficients	p. 473
Undetermined Coefficients	p. 475
Laplace Transform Methods	p. 481
Nonlinear Higher-Order Equations	p. 492
Systems of Equations	p. 492
Linear Systems	p. 492
Nonhomogeneous Linear Systems	p. 505
Nonlinear Systems	p. 511
Some Partial Differential Equations	p. 532
The One-Dimensional Wave Equation	p. 532
The Two-Dimensional Wave Equation	p. 537
Other Partial Differential Equations	p. 547
Exercises	p. 550
References	p. 557
Index	p. 559
Table of Contents provided by Ingram. All Rights Reserved.

Please wait while the item is added to your bag...

FREE SHIPPING

Amazon no longer offers textbook rentals. We do!

Mathematica by Example

Summary

Author Biography

Table of Contents

Supplemental Materials