An Engineer’s Guide to Mathematica by Edward B. Magrab

By Edward B. Magrab

An Engineers advisor to Mathematica permits the reader to realize the abilities to create Mathematica nine courses that resolve quite a lot of engineering difficulties and that show the consequences with annotated pix. This publication can be utilized to benefit Mathematica, as a spouse to engineering texts, and in addition as a reference for acquiring numerical and symbolic suggestions to a variety of engineering issues. the fabric is gifted in an engineering context and the construction of interactive portraits is emphasized.
The first a part of the e-book introduces Mathematicas syntax and instructions valuable in fixing engineering difficulties. Tables are used commonly to demonstrate households of instructions and the consequences that diverse thoughts have on their output. From those tables, you can actually simply make sure which concepts will fulfill ones present wishes. The order of the fabric is brought in order that the engineering applicability of the examples raises as one progresses during the chapters. the second one a part of the e-book obtains ideas to consultant sessions of difficulties in a variety of engineering specialties. the following, nearly all of the recommendations are provided as interactive portraits in order that the consequences may be explored parametrically.

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First, the Notation package has to be loaded by using Needs["Notation‘"] This opens a Notation Palette, which must be used to convert the subscripted variable to a symbol. From this palette, Symbolize[▫] is selected. In the square, the subscripted symbol is entered, which in our case is Symbolize[da ] From this point on, da is a symbol. This conversion is required for several of the templates appearing in the Typesetting Palette if in subsequent use it is necessary to treat them as a single symbol.

2. 1 2. 0 (x+i y)! Sign[x+y i] Abs[x+y i] z = x + jy √ x+iy √ 3 x+iy x+i y e Log[x+y i] Log[x + y i] Log[10] (2+i 3)! 0 + 3j Examples of output for explicit forms of z When used symbolically, Sqrt[z2 ] will not return z and Log[z2 ] will not return 2 Log[z]. 1. 6 Trigonometric and inverse trigonometric functions Trigonometric function Mathematica function Inverse trigonometric function Mathematica function sin z cos z tan z Sin[z] Cos[z] Tan[z] sin−1 z cos−1 z tan−1 z or tan−1 y/x csc z sec z cot z Csc[z] Sec[z] Cot[z] csc−1 z sec−1 z cot−1 z ArcSin[z] ArcCos[z] ArcTan[z] or ArcTan[x,y] ArcCsc[z] ArcSec[z] ArcCot[z] To obtain the value of a trigonometric function when the angle is given in degrees, we use Degree.

12 Creation of CDF Documents and Documents in Other Formats The notebook environment can also be used to create documents as if the notebook were a word processor. This is done by using the Writing Assistant found in the Palette menu to create cells that accept text and cells that accept equations in addition to those cells that provide the usual Mathematica computational capabilities. 10. The final document can then be saved in different formats by selecting Save As from the File menu and then choosing the desired format from the Format selections at the bottom of the window.

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