I am wondering if anyone knows of a comprehensive book with tips/tricks/examples for manipulating various expressions. Things such as changing summation indices,

[tex] \sum_{i,j,k=1}^{n}|a_{ik}b_{kj}|<=(\sum_{i,k=1}^{n}|a_{ik}|)^2(\sum_{j,m=1}^{n}|b_{mj}|)^2[/tex]

or common(and not so common) series expansions, etc. but not limited to series. These things always take a long time to find and are often very specific to a certain discipline. Hope this eqn shows right as it's my first post.