Schaum's Outline of Mathematica [3 ed.] 9781260120738, 1260120732, 9781260120721, 1260120724

Table of contents :
Cover --
Title Page --
Copyright Page --
Dedication --
Preface --
Contents --
CHAPTER 1 Getting Acquainted --
1.1 Notation and Conventions --
1.2 The Kernel and the Front End --
1.3 Mathematica Quirks --
1.4 Mathematica Gives Exact Answers --
1.5 Mathematica Basics --
1.6 Cells --
1.7 Getting Help --
1.8 Packages --
1.9 A Preview of What Is to Come --
CHAPTER 2 Basic Concepts --
2.1 Constants --
2.2 "Built-In" Functions --
2.3 Basic Arithmetic Operations --
2.4 Strings --
2.5 Assignment and Replacement --
2.6 Logical Relations --
2.7 Sums and Products --
2.8 Loops --
2.9 Introduction to Graphing --
2.10 User-Defined Functions --
2.11 Operations on Functions --
CHAPTER 3 Lists --
3.1 Introduction --
3.2 Generating Lists --
3.3 List Manipulation --
3.4 Set Theory --
3.5 Tables and Matrices --
CHAPTER 4 Two-Dimensional Graphics --
4.1 Plotting Functions of a Single Variable --
4.2 Additional Graphics Commands --
4.3 Special Two-Dimensional Plots --
4.4 Animation --
CHAPTER 5 Three-Dimensional Graphics --
5.1 Plotting Functions of Two Variables --
5.2 Other Graphics Commands --
5.3 Special Three-Dimensional Plots --
5.4 Standard Shapes--3D Graphics Primitives --
CHAPTER 6 Equations --
6.1 Solving Algebraic Equations --
6.2 Solving Transcendental Equations --
CHAPTER 7 Algebra and Trigonometry --
7.1 Polynomials --
7.2 Rational and Algebraic Functions --
7.3 Trigonometric Functions --
7.4 The Art of Simplification --
CHAPTER 8 Differential Calculus --
8.1 Limits --
8.2 Derivatives --
8.3 Maximum and Minimum Values --
8.4 Power Series --
CHAPTER 9 Integral Calculus --
9.1 Antiderivatives --
9.2 Definite Integrals --
9.3 Functions Defined by Integrals --
9.4 Riemann Sums --
CHAPTER 10 Multivariate Calculus --
10.1 Partial Derivatives --
10.2 Maximum and Minimum Values --
10.3 The Total Differential --
10.4 Multiple Integrals --
CHAPTER 11 Ordinary Differential Equations --
11.1 Analytical Solutions --
11.2 Numerical Solutions --
11.3 Laplace Transforms --
CHAPTER 12 Linear Algebra --
12.1 Vectors and Matrices --
12.2 Matrix Operations --
12.3 Matrix Manipulation --
12.4 Linear Systems of Equations --
12.5 Orthogonality --
12.6 Eigenvalues and Eigenvectors --
12.7 Diagonalization and Jordan Canonical Form --
Appendix --
A.1 Pure Functions --
A.2 Patterns --
A.3 Contexts --
A.4 Modules --
A.5 Commands Used in This Book --
Index --
A --
B --
C --
D --
E --
F --
G --
H --
I --
J --
K --
L --
M --
N --
O --
P --
Q --
R --
S --
T --
V --
W --
X.