The Joy of Mathematica, Second Edition: Instant Mathematica for Calculus, Differential Equations, and Linear Algebra
Alan Shuchat and Fred Shultz, 2000, Harcourt/Academic Press, 576 pages, spiral-bound, CD-ROM.
The Joy of Mathematica is an easy manual for learning Mathematica by substituting menus and dialog boxes for typing commands. The user can access Mathematica's power instantly, pointing and clicking in a simplified environment.
Shuchat and Shultz's book is useful as a supplemental text for calculus, differential equations, and linear algebra classes. Chapters include: Graphing in Two Dimensions; Manipulating Expressions; Solving Expressions; Solving Equations; Working with Functions of One Variable; Differentiating Functions of One Variable; Integrating Functions of One Variable; Working with Sequences and Series; Graphing in Three Dimensions; Working with Functions of Several Variables; Differentiating Functions of Several Variables; Integrating with Several Variables; Working with Vector Fields; Solving Differential Equations; Working with Vectors and Matrices; Functions; Limits and Continuity; Derivatives in One Variable; Integrals in One Variable; Sequences and Series; Parameterized Curves; Surfaces and Level Sets; Derivatives in Several Variables; Multiple Integrals; Differential Equations; Systems of Differential Equations; Matrices and Linear Equations; Vector Spaces and Linear Transformations.