New PDF release: Computer Algebra and Symbolic Computation: Elementary

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.

Show description

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

Best discrete mathematics books

Jesús A. De Loera, Jörg Rambau, Francisco Santos's Triangulations: Structures for Algorithms and Applications PDF

Triangulations seem in all places, from quantity computations and meshing to algebra and topology. This booklet experiences the subdivisions and triangulations of polyhedral areas and aspect units and offers the 1st accomplished remedy of the idea of secondary polytopes and similar subject matters. A valuable topic of the e-book is using the wealthy constitution of the gap of triangulations to unravel computational difficulties (e.

Download e-book for kindle: Algebra und Diskrete Mathematik by Dietlinde Lau

Algebra und Diskrete Mathematik geh? ren zu den wichtigsten mathematischen Grundlagen der Informatik. Dieses zweib? ndige Lehrbuch f? hrt umfassend und lebendig in den Themenkomplex ein. Dabei erm? glichen ein klares Herausarbeiten von L? sungsalgorithmen, viele Beispiele, ausf? hrliche Beweise und eine deutliche optische Unterscheidung des Kernstoffs von weiterf?

Harris Kwong's A Spiral Workbook for Discrete Mathematics PDF

It is a textual content that covers the normal issues in a sophomore-level direction in discrete arithmetic: good judgment, units, evidence options, easy quantity concept, features, family, and undemanding combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in arithmetic, and publications the scholars via a close dialogue on how an explanation is revised from its draft to a last polished shape.

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.

Download PDF sample

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


by Kevin
4.1

Rated 4.83 of 5 – based on 13 votes