By Edward B. Magrab
An Engineers advisor to Mathematica permits the reader to achieve the abilities to create Mathematica nine courses that resolve quite a lot of engineering difficulties and that reveal the consequences with annotated pictures. This e-book can be utilized to benefit Mathematica, as a spouse to engineering texts, and likewise as a reference for acquiring numerical and symbolic strategies to quite a lot of engineering subject matters. the fabric is gifted in an engineering context and the production of interactive portraits is emphasized.
The first a part of the e-book introduces Mathematicas syntax and instructions beneficial in fixing engineering difficulties. Tables are used commonly to demonstrate households of instructions and the consequences that varied suggestions have on their output. From those tables, you'll simply confirm which techniques 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 booklet obtains suggestions to consultant sessions of difficulties in a variety of engineering specialties. right here, nearly all of the options are awarded as interactive snap shots in order that the consequences may be explored parametrically.
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Extra resources for An Engineer’s Guide to Mathematica
H 18. Ω 18. F 18. C 18. V 18. T Time/frequency "s" "ms" "micros" "Hz" "GHz" "hr" Seconds Milliseconds Microseconds Hertz Gigahertz Hours 18. s 18. ms 18. μs 18. Hz 18. GHz 18. 5 m/s To illustrate the usage of Quantity further, consider the following quantities: e33 (C⋅m−2 ), c33 (N⋅m−2 ), and ????33 (F⋅m−1 ). We shall show that the following quantity is nondimensional k= e233 c33 ????33 Thus, k=Quantity[e33 ,"Coulombs"/"Meters"ˆ2]ˆ2/ (Quantity[c33 ,"Newtons"/"Meters"ˆ2]* Quantity[Subscript[ε33 ,"Farads"/"Meters"]) which gives e233 c33 ε33 Since there are no units appearing in this result, k has no dimensions.
Substitution: Transformation Rule Mathematica has a very specific manner in which one or more expressions can be substituted into another expression. = && || Mathematica® Environment and Basic Syntax 29 Mathematica’s implementation and is one of the primary ways in which one gains access to the expressions and results from many of its built-in functions. It will be illustrated here using some simple examples and then again in later sections with other applications. There are two distinct sets of symbols that will now be defined.
18. 18. 18. m cm mm nm Å ft in mi L gal Force/weight/pressure "kg" "N" "g" "Pa" "lb" Kilograms Newtons Grams Pascals Pounds 18. 18. 18. 18. 18. kg N g Pa lb Temperature "K" "Kelvins" "C" "Celsius" "F" "Fahrenheit" KelvinsDifference Kelvins DegreesCelsiusDifference Celsius DegreesFahrenheitDifference Fahrenheit 18. 18. 18. 18. 18. 18. K K ◦C ◦C ◦F ◦F Energy/power "W" "J" "btu" Watts Joules BritishThermalUnitsIT 18. W 18. J 18. BTUIT Electrical "A" "H" "ohm" "farad" "coulomb" "V" "T" Amperes Henries Ohms Farads Coulombs Volts Teslas 18.
An Engineer’s Guide to Mathematica by Edward B. Magrab