By Inna K. Shingareva, Carlos Lizárraga-Celaya
This booklet compares the 2 machine algebra courses, Maple and Mathematica utilized by scholars, mathematicians, scientists, and engineers. based by way of proposing either structures in parallel, Mathematica’s clients can research Maple quick by means of discovering the Maple similar to Mathematica features, and vice versa. This pupil reference instruction manual involves center fabric for incorporating Maple and Mathematica as a operating software into diverse undergraduate mathematical classes (algebra, geometry, calculus, advanced capabilities, designated features, fundamental transforms, mathematical equations). half I describes the principles of Maple and Mathematica (with an identical difficulties and solutions). half II describes arithmetic with Maple and Mathematica through the use of similar difficulties.
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Additional info for Maple and Mathematica: A Problem Solving Approach for Mathematics, Second Edition
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Qn ; q˙1 , . . , q˙n ), the kinetic and potential energy, T (q1 , . . , qn ; q˙1 , . . , q˙n ) and P (q1 , . . , qn ), be given. Construct a procedure for deriving the Lagrange equations. As an example, consider the motion of a double pendulum of mass m and length L in the vertical plane due to gravity. For the pendulum (N = 2), the generalized coordinates are angles, A and B, the generalized non potential forces are equal to zero. remember). 10 Calculate Fibonacci numbers and the computation time for F (n) = F (n − 1) + F (n − 2), F (0) = 0, F (1) = 1.
Replaces str1 by nstr1, StringPosition[str,substr], a list of the start and end positions of substring. Types of brackets: Parentheses (expr): grouping, (x+9)*3, Square brackets [expr]: function arguments, Sin[x], Curly brackets {expr}: lists, {a,b,c}. 8``15, arbitrary precision number with accuracy 15. Double-quotes "expr": to create strings. Previous results (during a session) can be used with symbols % (the last result), %% (the next-to-last result), and so on. Comments can be included within the characters (*comments*).
Expr]; Here var1,... are local variables, val1,... are initial values of local variables, body is the body of the module (as a sequence of statements separated by semicolons). The final result of the module is the result of the last statement (without a semicolon). Also Return[expr] can be used to return an expression. 11 Define a module and module function, mF, that calculate the maximum of x and y, and then find the maximum of the values (34/9, 674/689). 12 Compare the following calculations using With, Module, and Block.