Mathematica is one of the most widely used computer algebraic systems and runs on a number of machines, including the IBM PC.
Werner Burkhardt provides a detailed step-by-step introduction for all first-time users, enabling you to become familiar with the way Mathematica works, as quickly and easily as possible.
Teaching is by way of worked examples, based on real questions taken from college and university mathematics and carefully selected to demonstrate Mathematica's capabilities.
There are some 'test yourself' problems at the end of each chapter to check your progress, with solutions provided at the end of the book.
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1 Introduction.- 1.1 Starting Mathematica.- 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 Lists.- 3.2 Tables.- 3.3 Functions.- 3.4 Problems.- 4 Solution of equations.- 4.1 Solution of rational integral equations.- 4.2 Equations with square roots and absolute values.- 4.3 Trigonometric equations.- 4.4 Problems.- 5 Linear algebra and sets of equations.- 5.1 Description of matrices and vectors.- 5.2 Transformation matrices.- 5.3 Calculating with vectors.- 5.4 Solution of systems of equations.- 5.5 Problems.- 6 Graphics.- 6.1 2D graphics.- 6.2 3D graphics.- 6.3 Problems.- 7 Analysis.- 7.1 Derivatives.- 7.2 Integrals.- 7.3 Limits, series and products.- 7.4 Differential equations.- 7.5 Problems.- 8 Simple programs.- 8.1 Rule-based programs.- 8.2 Altering commands.- 8.3 Procedural programs.- Appendix A Installation on PCs.- A.1 Installation under MS-DOS.- A.2 Installation under MS-Windows.- Appendix B List of commands.- Appendix C Solutions.- C.1 Solutions to Chapter 1.- C.2 Solutions to Chapter 2.- C.3 Solutions to Chapter 3.- C.4 Solutions to Chapter 4.- C.5 Solutions to Chapter 5.- C.6 Solutions to Chapter 6.- C.7 Solutions to Chapter 7.- References.
Book by Burkhardt Werner
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