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An essential read for mathematicians, this volume looks beyond the syntax and semantics of Mathematica and other programs. It focuses on why they are necessary tools for anyone who engages in mathematics, as well as showing how to create better proofs.
This book offers an exploration of tools and mathematics and issues in mathematics education related to tool use, from pre-history to future directions in the field. It includes coverage of curriculum, assessment, and policy design.
Rather than being a 'how to' manual for making computations, this book places primary importance on the mathematics. It covers number theory, calculus of one and several variables, linear algebra, and visualization and interactive geometric computation.
The authors of this text undertake a journey into the new and fascinating area of experimental mathematics. Using examples that require little technical background, the authors establish approaches and techniques that lead to an understanding of the experimental method.
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