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

By Patrick T. Tam

ISBN-10: 008092624X

ISBN-13: 9780080926247

ISBN-10: 0126831920

ISBN-13: 9780126831924

For the engineering and clinical specialist, A Physicist's advisor to Mathematica, 2/e offers an up to date reference consultant in response to the 2007 new 6.0 free up, offering an geared up and built-in table reference with step-by-step directions for the main usually used positive factors of the software program because it applies to analyze in physics.For Professors educating physics and different technological know-how classes utilizing the Mathematica software program, A Physicist's consultant to Mathematica, 2/e is the single totally suitable (new software program free up) Mathematica textual content that engages scholars via delivering whole subject assurance, new functions, workouts and examples that allow the consumer to resolve a variety of physics difficulties. . doesn't require previous wisdom of Mathematica or computing device programming. can be utilized as both a chief or supplemental textual content for upper-division physics majors and an Instructor's strategies guide is offered . offers over 450 end-of-section workouts 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 free up. Compact disk comprises all the Mathematica enter and output during this e-book

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Additional info for A Physicist's Guide to Mathematica, Second Edition

Example text

Repeat with i running from imin to imax in steps of 1; for each i, let j go from jmin to jmax in steps of 1; and so forth Table and Do are examples of functions that use iterators. Table@expr, iteratorD generates a list of expr. Do@expr, iteratorD evaluates expr as many times as indicated by the iterator. For example, we can generate the list {1, 1/2, 1/4, 1/8, 1/16, 1/32, . . , 1/4096} with the function Table: In[1]:= Table@1/2ˆ(i - 1), 8i, 13

Overflow[]<<. >> Out[10]= NIntegrateC Log[x] , 8x, 1, ¥<, MaxRecursion ® 100G x Indeed, the integral diverges and the result is wrong. 99999999999999999999999999999999999999999999999„ 999999999373894218<. 220487164197568‘ ∗∧ 32 for the integral and error estimates. 25001 × 1032 The warning message alerts us to potential problems. Again, the integral diverges and the result is wrong. We must be vigilant against using NIntegrate to evaluate divergent integrals. 38 Chapter 2 Interactive Use of Mathematica NIntegrate@f ,8x,xmin,xmax<, 8y,ymin,ymax<,.

For solutions to selected problems, see Appendix D. 1. 2. 5. , access information on the built-in function RSolve. 16 Chapter 1 The First Encounter Answer: RSolve[eqn, a[n], n] solves a recurrence equation for a[n]. RSolve[{eqn1 , eqn2 , . }, {a1 [n], a2 [n], . }, n] solves a system of recurrence equations. RSolve[eqn, a [n1 , n2 , . . ], {n1 , n2 , . }] solves a partial recurrence equation. 3. (a) To access information on cells and cell styles, choose Help Documentation Center Notebooks and Documents/Notebook Basics Tutorials/Notebooks as Documents Help Documentation Center Notebooks and Documents/Notebook Basics More About/Menu Items Format/Style (b) Create a notebook with the following specifications: The first cell is a title cell containing the title of the notebook, the second cell is a text cell giving your name and affiliation, and the third cell is an input cell with the input Factor@45 + 63 x + 32 xˆ2 + 16 xˆ3 + 3 xˆ4 + xˆ5D (c) Evaluate the input in Part (b).

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

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