A physicist's guide to Mathematica by Patrick T. Tam

By Patrick T. Tam

For the engineering and medical specialist, A Physicist's consultant to Mathematica, 2/e presents an up-to-date reference advisor in keeping with the 2007 new 6.0 liberate, delivering an geared up 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 educating physics and different technology classes utilizing the Mathematica software program, A Physicist's consultant to Mathematica, 2/e is the one absolutely suitable (new software program unlock) Mathematica textual content that engages scholars through delivering whole subject assurance, new purposes, routines and examples that permit the person to unravel quite a lot of physics difficulties. . doesn't require past wisdom of Mathematica or machine programming . can be utilized as both a major or supplemental textual content for upper-division physics majors and an Instructor's suggestions guide is accessible . presents over 450 end-of-section routines and end-of-chapter difficulties . Serves as a reference compatible for chemists, actual scientists, and engineers . appropriate with Mathematica model 6, a up to date significant free up . Compact disk includes all the Mathematica enter and output during this e-book

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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. 1 Numerical Capabilities 35 NIntegrate can find numerical approximations to improper integrals provided that they converge. A definite integral is an improper integral if one or both of the limits of integration are infinite or if the integrand is infinite at some isolated points in the interval of integration.

4 Some Mathematical Functions Some common mathematical functions built into Mathematica are Sqrt@xD Exp@xD Log@xD Log@b,xD Factorial@nD or n! 5 Cases and Brackets Mathematica is case sensitive. The names of built-in Mathematica objects all begin with capital letters. ] Since sqrt has not been defined, Mathematica returns the input unevaluated. 6 Ways to Refer to Previous Results One way to refer to previous results is by their assigned names. We can assign values to variables with the operator “ = ”: variable = value For example, we can assign a value to the variable t: In[1]:= t = 3 + 4 Out[1]= 7 The variable t now has the value 7: In[2]:= t + 2 Out[2]= 9 To avoid confusion, names of user-created variables should normally start with lowercase letters because built-in Mathematica objects have names beginning with capital letters.

For inforPreferences mation on syntax coloring of Mathematica input, click Mathematica Appearance Syntax Coloring for Mac OS X or Edit Preferences Appearance Syntax Coloring for Windows. 5 Starting and Aborting Calculations To send Mathematica input in an input cell to the kernel, put the cursor anywhere in the cell or highlight the cell bracket, and press shift+return or enter for Mac OS X, or Shift+Enter or Enter on the numeric keypad for Windows. The kernel evaluates the input and returns the result in one or more cells below the input cell.

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