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A third printing of the third edition was released in 2011. The text of the third printing is identical to that of the second printing. A Japanese translation of the third edition of the Green Book (ISBN 978-4-06-154359-1) was published in 2009. A French translation of the third edition of the Green Book (ISBN 978-2-8041-7207-7) was published ...
Arthur Paul Mattuck (June 11, 1930 [1] – October 8, 2021 [1] [2]) was an emeritus professor of mathematics at the Massachusetts Institute of Technology. [3] He may be best known for his 1998 book, Introduction to Analysis (ISBN 013-0-81-1327) and his differential equations video lectures featured on MIT's OpenCourseWare.
In general, if an increase of x percent is followed by a decrease of x percent, and the initial amount was p, the final amount is p (1 + 0.01 x)(1 − 0.01 x) = p (1 − (0.01 x) 2); hence the net change is an overall decrease by x percent of x percent (the square of the original percent change when expressed as a decimal number).
The Art of Parallel Scientific Computing, 2nd Edition, 1996, ISBN 0-521-57439-0. Numerical Recipes in C++. The Art of Scientific Computing, 2nd Edition, 2002, ISBN 0-521-75033-4. Numerical Recipes. The Art of Scientific Computing, 3rd Edition, 2007, ISBN 0-521-88068-8. (C++ code) The books are published by Cambridge University Press.
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The source free equations can be written by the action of the exterior derivative on this 2-form. But for the equations with source terms (Gauss's law and the Ampère-Maxwell equation), the Hodge dual of this 2-form is needed. The Hodge star operator takes a p-form to a (n − p)-form, where n is the number of dimensions.
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