First Steps in Maple

1 Introduction.- 1.1 Starting Maple.- 1.2 Calculating with numbers.- 1.3 Calculating with real numbers and functions.- 1.4 Calculating with complex numbers and functions.- 1.5 Problems.- 2 Term transformations.- 2.1 Calculating with symbols.- 2.2 Calculating with rational integral terms.- 2.3 Calculating with fractions (rational expressions).- 2.4 Problems.- 3 Lists, tables and functions.- 3.1 Sets.- 3.2 Series.- 3.3 Lists.- 3.4 Arrays and tables.- 3.5 Functions.- 3.6 Problems.- 4 Solution of equations.- 4.1 Solving rational integral equations.- 4.2 Equations with square roots and absolute values.- 4.3 Trigonometric equations.- 4.4 Problems.- 5 Linear algebra and systems of equations.- 5.1 Description of matrices and vectors.- 5.2 Calculating with vectors.- 5.3 Matrix transformations.- 5.4 Solution of systems of equations.- 5.5 Problems.- 6 Graphics.- 6.1 2D graphics.- 6.1.1 Parametrised curves.- 6.1.2 Representation of tables.- 6.2 3D-graphics.- 6.3 Problems.- 7 Analysis.- 7.1 Derivations.- 7.2 Integrals.- 7.3 Limits, series and products.- 7.4 Differential equations.- 7.5 Problems.- 8 Simple programs.- 8.1 Linear programs.- 8.2 Branching programs.- 8.3 Programs with loops.- 8.4 Problems.- Appendix A Installation on PCs.- Appendix B List of commands.- Appendix C Solutions.- C.1 Solutions for chapter 1.- C.2 Solutions for chapter 2.- C.3 Solutions for chapter 3.- C.4 Solutions for chapter 4.- C.5 Solutions for chapter 5.- C.6 Solutions for chapter 6.- C.7 Solutions for chapter 7.- C.8 Solutions for chapter 8.