An Introduction to Programming Using Maple®
Buch, Englisch, 412 Seiten, Format (B × H): 178 mm x 235 mm, Gewicht: 741 g
ISBN: 978-1-4612-6548-1
Verlag: Springer
This book teaches introductory computer programming using Maple, offering more mathematically oriented exercises and problems than those found in traditional programming courses, while reinforcing and applying concepts and techniques of calculus. Includes case studies.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
1 Preliminaries.- 1.1 Maple as a Programming Language.- 1.2 Analyzing Programming Tasks.- 1.3 Documentation and Coding.- 1.4 Maple/Calculus Notes.- 2 Basic Aspects of Maple.- 2.1 Variables and Constants.- 2.2 Expressions and Assignments.- 2.3 Notation in Mathematics and in Maple.- 2.4 Sequences, Lists, Sets, and Arrays.- 2.5 The Do Loop.- 2.6 Procedures: A First Glance.- 2.7 Evaluation Rules.- 2.8 Maple/Calculus Notes.- 3 Looping and Repetition.- 3.1 The Basic Loop.- 3.2 The Do Loop with All Its Features.- 3.3 Case Study: Iterated Maps.- 3.4 Maple/Calculus Notes.- 4 Conditionals — Flow of Control.- 4.1 Logic in Mathematics.- 4.2 Relational and Logical Operators.- 4.3 Boolean Expressions.- 4.4 The if-then-else Statement.- 4.5 The if-then-elif-then Statement.- 4.6 Case Study: Riemann Sums for a Double Integral.- 4.7 Maple/Calculus Notes.- 5 Procedures.- 5.1 Maple’s Procedure Statement.- 5.2 Procedures — Some Details.- 5.3 Groups of Related Procedures.- 5.4 Case Study: Trig Integrals.- 5.5 Maple/Calculus Notes.- 6 Data Structures.- 6.1 Expressions and Operands.- 6.2 Quotes and Strings.- 6.3 Numbers.- 6.4 Lists: Vector Methods in Geometry.- 6.5 Arrays and Tables.- 6.6 Sets: The Cantor Set and Limiting Covers.- 6.7 Polynomials.- 6.8 Case Study: Partial Fractions.- 7 Graphics Programming.- 7.1 Preliminary Examples.- 7.2 Maple’s Plot Structures.- 7.3 Approximating Curves and Surfaces.- 7.4 The GRID and MESH Objects.- 7.5 Animations.- 7.6 Maple/Calculus Notes.- 8 Recursion.- 8.1 Recurrence Relations — Series Solutions.- 8.2 Reduction Formulas for Integration.- 8.3 Sorting.- 8.4 Numbers.- 8.5 Maple/Calculus Notes.- 9 Programming Projects.- 9.1 Projects on Crystal Growth.- 9.2 Projects on Inscribed Polygons.- 9.3 Projects on Random Walks.- 9.4 Projects on Newton’sSecond Law.- A Maple Reference.- A.1 Expressions and Functions.- A.2 Plotting and Visualization.- A.3 Programming.- A.4 Packages.
