A Physicist's Guide to Mathematica, Second Edition by Patrick T. Tam PDF

By Patrick T. Tam

ISBN-10: 008092624X

ISBN-13: 9780080926247

ISBN-10: 0126831920

ISBN-13: 9780126831924

For the engineering and medical specialist, A Physicist's advisor to Mathematica, 2/e presents an up-to-date reference consultant according to the 2007 new 6.0 unencumber, offering an equipped and built-in table reference with step-by-step directions for the main frequently used good points of the software program because it applies to investigate in physics.For Professors instructing physics and different technological know-how classes utilizing the Mathematica software program, A Physicist's advisor to Mathematica, 2/e is the single totally appropriate (new software program unlock) Mathematica textual content that engages scholars by means of delivering whole subject assurance, new functions, workouts and examples that let the person to resolve a variety of physics difficulties. . doesn't require earlier wisdom of Mathematica or desktop programming. can be utilized as both a prime or supplemental textual content for upper-division physics majors and an Instructor's recommendations handbook is on the market . presents over 450 end-of-section routines and end-of-chapter difficulties. Serves as a reference compatible for chemists, actual scientists, and engineers. suitable with Mathematica model 6, a up to date significant unlock. Compact disk includes the entire Mathematica enter and output during this booklet

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With independent variable x in the range xmin to xmax. 9 The magnitude of the force on a planet due to the Sun is F= GMm r2 where G, r, M, and m are the gravitational constant, the distance of the planet from the Sun, the mass of the Sun, and the mass of the planet, respectively. 1. 1. A planet under the gravitational attraction of the Sun. 42 Chapter 2 Interactive Use of Mathematica where we have assumed that the Sun is stationary at the origin of the Cartesian coordinate system. In a system of units where the unit of length is the astronomical unit (AU)—that is, the length of the semimajor axis of Earth’s orbit—and the unit of time is 1 year, GM = 4π2 (see [GTC07]).

The operator “ = ” is for assignments, whereas the operator “ Š ” is for specifying equations. For example, we can determine the roots of the polynomial equation x5 + 4x3 + 3x2 + 2x = 10 In[1]:= NSolve@xˆ5 + 4 xˆ3 + 3 xˆ2 + 2 x Š 10, xD Out[1]= 88x ® -1. ä<, 8x ® -1. << NSolve gives solutions as rules of the form x ® sol. 7 will introduce Mathematica transformation rules. 17 Numerical Integration Not all integrations can be done analytically, and we often have to evaluate integrals numerically.

Significant figures), arbitrary-precision numbers can have any larger number of digits of precision. For machine-precision numbers, Precision@xD returns the symbol MachinePrecision whose numerical value is $MachinePrecision. For the Macintosh and 26 Chapter 2 Interactive Use of Mathematica Windows computer systems, $MachinePrecision equals 53 log10 2, which is approximately 16. For arbitrary-precision numbers, Precision returns numbers that are greater than $MachinePrecision. 45497 In[3]:= Precision@%D Out[3]= MachinePrecision By default, Mathematica prints only six digits for the result.

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A Physicist's Guide to Mathematica, Second Edition by Patrick T. Tam

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