TITLE: Quantum algorithms for dummies
QUESTION [13 upvotes]: I want to try my hand at designing quantum algorithms to solve certain problems.  I feel like I understand (for example) how Grover's algorithm and Shor's algorithm work, and I'm excited to apply the various "computing tricks" that aren't available in classical computing.  Unfortunately, my knowledge of such tricks is limited to their application in the few famous algorithms, and I'm not at all sure how to legitimately apply them in general.
Are there any resources available that will quickly bring me up to speed?

REPLY [4 votes]: I think this book is good for beginning:
"An introduction to quantum computing algorithms" by Pittenger A.O.
Also, the course by Prof. $Vazirani$ on $edx$ "(www.edx.org)" is good way for learning the necessary material in this way. 
Since, there are two main algorithms and other algorithms uses these basic algorithms, you can understand deeply these two quantum algorithms and modify your problem again to find an approach. These two basic and important algorithms are Grover's algorithm (for searching problem) and Shor's algorithm (for factorization). Also, Simons algorithm is good for studying. But, in general, you must learn Fourier sampling and superposition and the quantum gates and their works.