Mathematica

Description

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 U V W X