Notation in this book is for the most part standard. This list includes notation that might be less familiar. Page references are included for convenience.

*f*(*c*−), *f*(*c*+) left and right limits of *f*(*x*) at *x* = *c* (17)

*S*(*x, y, z*; *t*) sphere of radius *t* about (*x, y, z*) (141)

del (or gradient) operator (147)

^{2}*u* Laplacian of *u* (147)

*R*^{n} space of *n*–vectors (165)

*B*(**a**, *r*) open ball of radius *r* about **a** (166)

*x* *A* *x* is an element of a set *A* (165)

{*x* | *x* has property *P*} the set of objects having property *P* (166)

closed ball of radius *r* about **a** (167)

∂*A* boundary of *A* (167)

closure of *A* (170)

*B* ⊂ *A B* is a subset of *A* (166)

the empty set (167)

*B* − *A* set difference consisting of all elements of *B* not in *A* (166)

*C*^{2} (*A*) set of functions that are continuous on *A* with continuous first and second partial derivatives ...

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