Mathematica by Example
1st Edition
Published on 9. May 2014
670 pages
978-1-4832-5928-4 (ISBN)
Description
Mathematica by Example presents the commands and applications of Mathematica, a system for doing mathematics on a computer. This text serves as a guide to beginning users of Mathematica and users who do not intend to take advantage of the more specialized applications of Mathematica. The book combines symbolic manipulation, numerical mathematics, outstanding graphics, and a sophisticated programming language. It is comprised of 10 chapters. Chapter 1 gives a brief background of the software and how to install it in the computer. Chapter 2 introduces the essential commands of Mathematica. Basic operations on numbers, expressions, and functions are introduced and discussed. Chapter 3 provides Mathematica's built-in calculus commands. The fourth chapter presents elementary operations on lists and tables. This chapter is a prerequisite for Chapter 5 which discusses nested lists and tables in detail. The purpose of Chapter 6 is to illustrate various computations Mathematica can perform when solving differential equations. Chapters 7, 8, and 9 introduce Mathematica Packages that are not found in most Mathematica reference book. The final chapter covers the Mathematica Help feature. Engineers, computer scientists, physical scientists, mathematicians, business professionals, and students will find the book useful.
More details
Other editions
New editions
Martha L. Abell | James P. Braselton
Mathematica by Example
E-Book
01/2004
3rd Edition
Academic Press
€70.95
Available for download
Additional editions
Martha L. Abell | James P. Braselton
Mathematica by Example
Book
01/1992
Academic Press
€27.24
Article exhausted; check different version
Content
Preface¿ Chapter 1 Getting Started ¿ 1.1 Macintosh Basics The Mathematica Folder Opening Mathematica Files ¿ 1.2 Introduction to the Basic Types of Cells, Cursor Shapes, and Evaluating Commands Evaluating Mathematica Input Converting Active Cells to Inactive Cells Cursor Shapes ¿ 1.3 Introduction to the Mathematica Menu File Edit Style Window ¿ Preview Five Basic Rules of Mathematica Syntax¿ Chapter 2 Mathematical Operations on Numbers, Expressions and Functions ¿ 2.1 Numerical Calculations and Built-In Functions ¿ Numerical Calculations and Built-In Constants ¿ Built-In Functions ¿ 2.2 Expressions and Functions ¿ Basic Algebraic Operations on Expressions ¿ Naming and Evaluating Expressions ¿ Defining and Evaluating Functions ¿ Additional Ways to Evaluate Functions and Expressions ¿ Retrieving Unnamed Output ¿ Composition of Functions ¿ 2.3 Mod Math Mod PolynomialMod ¿ 2.4 Graphing Functions and Expressions Plot ¿ Graphing Severla Functions Simultaneousyl ¿ Graphing Options ¿ Graphing Features and Options of Version 2.0 ¿ Displaying Several Graphs with Version 2.0 ¿ Labeling Graphs in Version 2.0 ¿ Piecewise Defined Functions ¿ 2.5 Exact and Approximate Solutions of Equations ¿ Exact Solutions of Equations ¿ Exact Solutions of Systems of Equations ¿ Numerical Approximation of Solutions of Equations ¿ Approximating Solutions of Equations with Version 2.0 ¿ Application: Intersection Points of Graphs of Functions¿ Chapter 3 Calculus ¿ 3.1 Computing Limits Limit Computing Limits with Version 2.0 ¿ 3.2 Differential Calculus ¿ Calculating Derivatives of Functions and Expressions ¿ Graphing Functions and Derivatives ¿ Computing Higher Order Derivatives ¿ Locating Critical Points and Inflection Points ¿ Application: Graphing Functions and Tangent Lines ¿ Application: Maxima and Minima ¿ Application: A Command that Graphs Functions and Derivatives on the Same Axes ¿ 3.3 Implicit Differentiation with Mathematica ¿ Computing Derivatives of Implicit Functions ¿ Other Methods to Compute Derivatives of Implicit Functions ¿ Graphing Implicit Functions with Version 2.0 ¿ 3.4 Integral Calculus ¿ Computing Definite and Indefinite Integrals ¿ Numerically Computing Definite Integrals ¿ Definite Integration with Version 2.0 ¿ Application: Area Between Curves ¿ Application: Arc Length ¿ Application: Volumes of Solids of Revolution ¿ 3.5 Series ¿ Computing Power Series ¿ Application: Approximating the Remainder ¿ Application: Series Solutions to Differential Equations ¿ 3.6 Multi-Variable Calculus ¿ Elementary Three-Dimensional Graphics ¿ ContourPlot and Version 2.0 ¿ Partial Differentiation ¿ Other Methods of Computing Derivatives ¿ Application: Classifying Critical Points ¿ Application: Tangent Planes ¿ Application: Lagrange Multipliers ¿ Multiple Integrals ¿ Application: Volume ¿ Series in More than One Variable¿ Chapter 4 Introduction to Lists and Tables ¿ 4.1 Defining Lists Table Hermite PolynomialS ¿ 4.2 Operations on Lists ¿ Extracting Elements of Lists ¿ Graphing Lists and Lists of Functions ¿ Evaluation of Lists by Functions ¿ Other List Operations ¿ Alternative Ways to Evaluate Lists by Functions ¿ 4.
