An Introduction to Quantum Computing Algorithms

[see attached for complete text] Over the last decade quantum computing has become a rapidly growing field with relevance to topics from physics, mathematics, and computer science. Aimed at engaging the mathematically literate reader who may not have a background in all of the subspecialties of the field, this work will provide the context for understanding and developing algorithms for a "prospective" quantum computer. Key features include: * clear and concise exposition, * minimal prerequisites, * detailed overview of the historical context of quantum computing, * discussion of the most recent developments, including the factoring algorithm of