By Joel S. Cohen

ISBN-10: 1568811586

ISBN-13: 9781568811581

Laptop Algebra and Symbolic Computation: simple Algorithms presents a scientific method for the algorithmic formula and implementation of mathematical operations in computing device algebra programming languages.

The perspective is that mathematical expressions, represented through expression timber, are the knowledge gadgets of computing device algebra courses, and by utilizing a number of primitive operations that examine and build expressions, we will enforce many uncomplicated operations from algebra, trigonometry, calculus, and differential equations.

With at least necessities, this e-book is out there and worthwhile to scholars of arithmetic, laptop technological know-how, and different technical fields. The e-book encompasses a CD with the entire, searchable textual content and implementations of all algorithms in Maple, Mathematica, and MuPad programming languages.

**Read Online or Download Computer Algebra and Symbolic Computation: Elementary Algorithms PDF**

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**Extra resources for Computer Algebra and Symbolic Computation: Elementary Algorithms**

**Example text**

1 (e) x y + + 2 = (x + 1/y) (y + 1/x). xy (f) (exp(x))2 − 1 = exp(2x) − 1. (Notice that these two expressions are equivalent. ) (g) x2n − 1 = (xn − 1)(xn + 1). (h) xm+n − xn − xm + 1 = (xm − 1)(xn − 1). √ √ √ √ (i) x2 + 3 x + 2 x + 2 3. √ √ √ √ √ 5 √ 4 √ 3 3 x − 6√x + 2 x − 2 x2 + 5 x − 10 = ( x− 2 )( 3 x4 (j) √ 2 + 2 x + 5 ). √ √ √ √ √ √ √ √ (k) x4 −10 x2 +1 = (x+ 2+ 3)(x+ 2− 3)(x− 2+ 3)(x− 2− 3). 2. In this problem we ask you to explore the capability of a CAS to ﬁnd the exact solutions to equations.

6. Relational operators, logical constants, and logical operators in Maple, Mathematica, and MuPAD. Sets and lists. In MPL, both sets and lists are used to represent collections of mathematical expressions. A set is expressed using the braces { and } and a list using the brackets [ and ]. Examples include {2 ∗ x + 4 ∗ y = 3, 3 ∗ x − y = 7}, [1, x, x ∧ 2 , x ∧ 3]. In MPL, a set or a list is considered a mathematical expression rather than a data structure that contains mathematical expressions2 .

A set is expressed using the braces { and } and a list using the brackets [ and ]. Examples include {2 ∗ x + 4 ∗ y = 3, 3 ∗ x − y = 7}, [1, x, x ∧ 2 , x ∧ 3]. In MPL, a set or a list is considered a mathematical expression rather than a data structure that contains mathematical expressions2 . In fact, a set or a list can be a sub-expression of another mathematical expression. For example, the expression Solve({2 ∗ x + 4 ∗ y = 3, 3 ∗ x − y = 7}, {x, y}) which contains sets, is used to obtain the solution of a system of linear equations.

### Computer Algebra and Symbolic Computation: Elementary Algorithms by Joel S. Cohen

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