A Guide to Maple

1 Basic elements in the use of Maple.- 2 Numbers and algebraic operators.- 3 Names and evaluation 1: mathematical variables.- 4 Elementary calculus.- 5 Names and evaluation 2: applying procedures.- 6 Creating and using mathematical functions.- 7 Graphics.- 8 Taylor or Laurent expansion and limits.- 9 Numerical calculations with Maple.- 10 Manipulating several objects at once.- 11 Substitution and subexpressions.- 12 Manipulating and converting numbers.- 13 Polynomials and rational expressions.- 14 Polynomial equations and factoring polynomials.- 15 Manipulating algebraic expressions.- 16 Solving equations and inequalities in general.- 17 Solving differential equations.- 18 Vectors and matrices.- Appendix A Types, properties, and domains.- A.1 Basic types.- More types.- Selection on type.- Properties, the assume facility.- Derived properties.- Asking for the assumed properties.- Adding properties.- Combining properties.- Properties and assigning.- Properties and formal parameters.- Domains, the Domains package.- Appendix B Names and evaluation 3: some special features.- Changing names, alias.- Finding names used.- Indexed names.- Quotes with table, arrays, vectors, and matrices.- Recovering lost procedures.- Exceptions to the rule of automatic full evaluation.- Appendix C The user interface for text-only versions.- Starting, interrupting, and quitting Maple.- Editing commands.- Pictures.- Maple system messages.- Saving a session and its results.- Appendix D Procedures remembering previous results.- Remember tables of procedures.- Clearing (parts of) the remember table.- An example of side effects of the remember table: infolevel.- Appendix E Control structures.- Procedures.- Searching for causes of odd behavior with trace or printlevel.- Using if ... fi for choices.- Recursion.- Using do od for repeating actions.- An example: checking the results of solve by substituting.- Error messages and warnings.- Catchword index.