Computer Algebra and Symbolic Computation: Mathematical Methods
Mathematica, Maple, and similar software packages provide programs that carry out sophisticated mathematical operations. Applying the ideas introduced in Computer …
Mathematica, Maple, and similar software packages provide programs that carry out sophisticated mathematical operations. Applying the ideas introduced in Computer Algebra and Symbolic Computation: Elementary Algorithms, this book explores the application of algorithms to such methods as automatic simplification, polynomial decomposition, and polynomial factorization. This book includes complexity analysis of algorithms and other recent developments. It is well-suited for self-study and can be used as the basis for a graduate course. Maintaining the style set by Elementary Algorithms, the author explains mathematical methods as needed while introducing advanced methods to treat complex operations.
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To provide a systematic approach to the algorithmic formulation and implementation of mathematical operations in a computer algebra programming language. Algorithmic methods in traditional mathematics are usually not pre- sented with the precision found in numerical mathematics or conventional computer programming.
Preface. At the meeting of the Advisory Committee for the Division of Computer and. Computation ... of increased funding for symbolic and algebraic computation. In attendance ... in symbolic computation research, in the underlying mathematical theory, ... More effective methods and algorithms for solving important scientific.
This book and the companion text, Computer Algebra and Symbolic Computation: Mathematical Methods, are an introduction to the subject that addresses.
numerical analysis (in particular, of direct and inverse field problems) and ... revised version of the widely spread 1964 Handbook of Mathematical ... F. Cucker, editor, Special Volume: Foundations of Computational Mathematics, volume XI.