July 2010
Intermediate to advanced
524 pages
16h 56m
English
Content preview from Game Physics Engine Development, 2nd Edition
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44 Chapter 2 The Mathematics of P articles
position or velocit y updates. From this point on, I will stick to the second use, since
we will have no need to do any other kind of integration.
Ve ctor Integral Calculus
Just as we saw for differentiation, vectors take the place of scalars in the update func-
tions. Again, this is not the case for mathematics in general, and most of the formulas
you find in mathematical textbooks on integration will not work for vectors. The two
integrals we will use in this book—Equations 2.7 and 2.8—have the same form for
both scalar and vector terms. So we can write
p
= p +
˙
pt
and perform the calculation on a component ...
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