Author | Stroeker, Roelof J. author |
---|---|
Title | Discovering Mathematics with Maple [electronic resource] : An interactive exploration for mathematicians, engineers and econometricians / by Roelof J. Stroeker, Johan F. Kaashoek |
Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1999 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8726-7 |
Descript | XVI, 229 p. online resource |
1 A Tour of Maple V -- 1.1 Introduction -- 1.2 Mapleโs User Interface -- 1.3 Just a Maple Session -- 1.4 Worksheets and Assignments -- 1.5 Exercises -- 1.6 Survey of Used Maple Expressions -- 2 Functions and Sequences -- 2.1 Introduction -- 2.2 Selected Concepts from Analysis -- 2.3 A Tricky Probability Function -- 2.4 Worksheets and Assignments -- 2.5 Exercises -- 2.6 Survey of Used Maple Expressions -- 3 Matrices and Vectors -- 3.1 Introduction -- 3.2 Selected Concepts from Linear Algebra -- 3.3 A Least Squares Filter -- 3.4 Worksheets and Assignments -- 3.5 Exercises -- 3.6 Survey of Used Maple Expressions -- 4 Counting and Summation -- 4.1 Introduction -- 4.2 Selected Concepts from Discrete Mathematics -- 4.3 Binomial Coefficients -- 4.4 Worksheets and Assignments -- 4.5 Exercises -- 4.6 Survey of Used Maple Expressions -- 5 Derivative and Integral -- 5.1 Introduction -- 5.2 Further Concepts from Analysis -- 5.3 Riemannโs Non-differentiable Function -- 5.4 Worksheets and Assignments -- 5.5 Exercises -- 5.6 Survey of Used Maple Expressions -- 6 Vector Spaces and Linear Mappings -- 6.1 Introduction -- 6.2 Further Concepts from Linear Algebra -- 6.3 Diagonalization and the SVD -- 6.4 Worksheets and Assignments -- 6.5 Exercises -- 6.6 Survey of Used Maple Expressions -- A Exercises in Experimentation -- A.1 Upper Bound for a Parameterized Function -- A.2 Matrix Differentiation -- A.3 Chaotic Sequences -- B Hints and Answers -- B.1 Exercises 1.5 -- B.2 Exercises 2.5 -- B.3 Exercises 3.5 -- B.4 Exercises 4.5 -- B.5 Exercises 5.5 -- B.6 Exercises 6.5 -- C Quick Guide to Selected Maple Commands -- C.1 Linear Algebra -- C.1.1 Elementary Matrix Algebra -- C.1.2 Elementary Vector Algebra -- C.1.4 Eigenvalues and Eigenvectors -- C.2 Mathematical Analysis -- C.2.1 Writing Your Own Procedures -- C.2.2 Plotting the Graph of a Function -- C.2.3 Computing Limits -- C.2.4 Differential Calculus -- C.2.5 Integration -- C.2.6 Solving Equations -- C.2.7 Solving Differential/Difference Equations -- C.3 Statistics -- C.3.1 Probabilities -- C.3.2 Generating Random Numbers -- C.3.3 Analysis of Statistical Data -- C.4 Linear Programming -- C.5 Mathematical Finance