Experimental Mathematics with Maple

1. Auflage 2001
ISBN: 978-1-58488-233-6
Verlag: CRC Press

Buch, Englisch, 240 Seiten, Format (B × H): 149 mm x 227 mm, Gewicht: 317 g

Reihe: Chapman Hall/CRC Mathematics Series

As discrete mathematics rapidly becomes a required element of undergraduate mathematics programs, algebraic software systems replace compiled languages and are now most often the computational tool of choice. Newcomers to university level mathematics, therefore, must not only grasp the fundamentals of discrete mathematics, they must also learn to use an algebraic manipulator and develop skills in abstract reasoning.

Experimental Mathematics with MAPLE uniquely responds to these needs. Following an emerging trend in research, it places abstraction and axiomatization at the end of a learning process that begins with computer experimentation. It introduces the foundations of discrete mathematics and, assuming no previous knowledge of computing, gradually develops basic computational skills using the latest version of the powerful MAPLE® software. The author's approach is to expose readers to a large number of concrete computational examples and encourage them to isolate the general from the particular, to synthesize computational results, formulate conjectures, and attempt rigorous proofs.

Using this approach, Experimental Mathematics with MAPLE enables readers to build a foundation in discrete mathematics, gain valuable experience with algebraic computing, and develop a familiarity with basic abstract concepts, notation, and jargon. Its engaging style, numerous exercises and examples, and Internet posting of selected solutions and MAPLE worksheets make this text ideal for use both in the classroom and for self-study.

Zielgruppe

Undergraduate

Autoren/Hrsg.

Vivaldi, Franco

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Programmier- und Skriptsprachen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik EDV | Informatik Business Application Mathematische & Statistische Software

Inhaltsverzeichnis

What is Maple? Integers and Rationals. Sets and Functions. Sequences. Real and Complex Numbers. Structure of Expressions. Polynomials and Rational Functions. Finite Sums and Products. Elements of Programming. Vector Spaces. Modular Arithmetic. Some Abstract Structures.

Über Autor(innen)

Franco Vivaldi is Professor of Applied Mathematics at Queen Mary University of London. His research interests include maps over arithmetical sets (finite fields, p-adic and algebraic numbers), piecewise isometries, space discretization and round-off errors.