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Experimental Mathematics with Maple: Chapman Hall/CRC Mathematics Series

Autor Franco Vivaldi
en Limba Engleză Paperback – 20 feb 2001
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.
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Specificații

ISBN-13: 9781584882336
ISBN-10: 1584882336
Pagini: 240
Ilustrații: 25 b/w images, 8 tables and 864 equations
Dimensiuni: 156 x 234 x 73 mm
Greutate: 0.32 kg
Ediția:2002.
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Chapman Hall/CRC Mathematics Series


Public țintă

Undergraduate

Cuprins

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.

Notă biografică

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.

Descriere

While discrete mathematics rapidly becomes a standard requirement in undergraduate mathematics programs, algebraic computing is now the computational tool of choice. This book merges these two trends. It introduces the foundations of discrete mathematics and assuming no previous knowledge of computing, gradually develops basic computational skills using MAPLE. The author's approach is to expose readers to a large number of concrete computational examples, encouraging them to isolate the general from the particular, to synthesize results, formulate conjectures, and to attempt rigorous proofs. MAPLE worksheets and solutions to selected exercises are available on the Internet.