Experimental Mathematics with Maple
Experimental Mathematics with Maple by Franco Vivaldi, published by CRC Press on February 20, 2001, is a comprehensive resource designed for newcomers to university-level mathematics. This 240-page book addresses the growing importance of discrete mathematics in undergraduate programs and emphasizes the use of algebraic software systems, specifically the MAPLE® software. It aims to equip students with both the foundational knowledge of discrete mathematics and the computational skills necessary for success in this field.
Readers will find that the book begins with computer experimentation, gradually leading to more abstract concepts and axiomatization. It presents a variety of concrete computational examples, encouraging students to synthesize results, formulate conjectures, and engage in rigorous proofs. The text covers essential topics such as combinatorics and number systems, making it suitable for both classroom use and self-study. With its engaging style and numerous exercises, Experimental Mathematics with Maple provides a solid foundation in discrete mathematics while fostering familiarity with algebraic computing and essential mathematical terminology.
Official synopsis Publisher
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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