Computer Algebra and Symbolic Computation: Elementary AlgorithmsTaylor & Francis, 2002 M07 19 - 323 páginas This book provides a systematic approach for the algorithmic formulation and implementation of mathematical operations in computer algebra programming languages. The viewpoint is that mathematical expressions, represented by expression trees, are the data objects of computer algebra programs, and by using a few primitive operations that analyze and construct expressions, we can implement many elementary operations from algebra, trigonometry, calculus, and differential equations. With a minimum of prerequisites this book is accessible to and useful for students of mathematics, computer science, and other technical fields. The book contains a CD with the full, searchable text and implementations of all algorithms in the Maple, Mathematica, and MuPad programming languages. |
Contenido
Introduction to Computer Algebra | 1 |
Recursive Algorithms | 171 |
Structure of Polynomials and Rational Expressions | 213 |
Derechos de autor | |
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Otras ediciones - Ver todas
Computer Algebra and Symbolic Computation: Elementary Algorithms Joel S. Cohen Vista previa limitada - 2002 |
Computer Algebra and Symbolic Computation: Elementary Algorithms, Volumen1 Joel S. Cohen Sin vista previa disponible - 2002 |
Computer Algebra and Symbolic Computation: Elementary Algorithms, Volumen1 Joel S. Cohen Sin vista previa disponible - 2002 |
Términos y frases comunes
algebraic expansion algebraic expression Algebraic_expand algorithm apply assigned automatic simplification Chapter coefficient complete sub-expression compound expression computer algebra systems Consider cos(x cos(y defined Definition derivative differential equation evaluation example exp(x expanded form exponent exponential expression tree Free-of function forms Give a procedure given in Figure global symbol Undefined greatest common divisor Implementation integer integrating factor interactive mode ln(x Local Variables Macsyma manipulation Maple and MuPAD Maple mws Maple txt Mathematica nb Mathematica txt mathematical expressions mathematical operators monomial MPL dialogue MPL procedure MuPAD mnb MuPAD txt notation obtain Operand(u operands operator returns Output positive integer prompt rational number rationalized form real number Rec-fact recursive return the global Rule-based programming Section sequence simplification context simplification rules simplified form sin(a sin(x sin² solution solve statements Substitute operator termination symbol Theorem transformation rules trigonometric trigonometric functions variable