Mathematics for Physical Science and Engineering: Symbolic by Frank E. Harris

By Frank E. Harris

arithmetic for actual technological know-how and Engineering is an entire textual content in arithmetic for actual technological know-how that incorporates using symbolic computation to demonstrate the mathematical suggestions and permit the answer of a broader variety of useful difficulties. It permits pros to attach their wisdom of arithmetic to both or either one of the symbolic languages Maple and Mathematica. as a result of expanding significance of symbolic computation, the e-book starts through introducing that subject, sooner than delving into its center mathematical themes. every one of these matters is defined in precept, after which utilized via symbolic computing.The target of the textual content is designed to elucidate and optimize the potency of the scholars acquisition of mathematical realizing and talent and to supply scholars with a mathematical toolbox that would swiftly develop into of regimen use in a systematic or engineering career.

  • Clarifies every one very important idea to scholars by utilizing an easy instance and infrequently an illustration
  • Provides quick-reference for college students via a number of appendices, together with an summary of phrases in most typically used functions (Mathematica, Maple)
  • Shows how symbolic computing permits fixing a extensive variety of functional problems

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Additional info for Mathematics for Physical Science and Engineering: Symbolic Computing Applications in Maple and Mathematica

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Determine whether each of the following series converges. ∞ (a) ∞ 1 n(n + 1) n=1 (b) ∞ (d) ∞ ln 1 + n=1 ∞ (c) (e) 1 n 1 1/n n · n n=1 (f) ∞ (h) arccot(n) n1/2 n=1 e−n n=0 ∞ ∞ 1 n ln n n=2 (g) 1 n2n n=1 (2n)! n! (3n)! n=0 ∞ (i) arccot(n) . 6. Try to evaluate the summations of the two preceding exercises using maple or mathematica. This approach will show that some of the divergent series are confirmed as divergent and will give values of some of the convergent series. Notice that symbolic computation is not yet as accomplished as skilled humans in identifying series that are divergent.

2009). ). New York: Springer (Not recommended as a preliminary introduction, but useful for more experienced users. Contains many examples of coding in both symbolic computing languages). Torrence, B. , & Torrence, E. A. (2009). ). Cambridge, UK: Cambridge University Press (A thorough, readable elementary introduction. Recommended). Wolfram, S. (2003). ). Champaign, IL: Wolfram Media (General reference). , sums consisting formally of an infinite number of terms) to represent functions, to bring them to forms facilitating further analysis, or even as a prelude to numerical evaluation.

To use the present procedure (for n = 4), we simply type (anywhere a symbol can be used) > squaresum(4); 30 > 4*squaresum(4)/squaresum(2); 24 In mathematica, we write, noting that the equals sign in the procedure definition is :=, not just =, In[1]:= squaresum[n_] := Module[{j,s}, s = 0; Do[s=s+j^2,{j,1,n}]; Procedure name starts lower-case Underscore added to n on left but not on right. Made j and s local. 3 s ] In mathematica, a procedure definition produces no output. To use this procedure, we simply type its name, with the desired argument (without the underscore).

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