Quantum Computing and Information (QCI) requires a shift in mathematical thinking, going beyond the traditional applications of linear algebra and probability. This book focuses on building the specialized mathematical foundation needed for QCI, explaining the unique roles of matrices, outer products, tensor products, and the Dirac notation. Special matrices crucial to quantum operations are explored, and the connection between quantum mechanics and probability theory is made clear.Recognizing that diving straight into advanced concepts can be overwhelming, this book starts with a focused review of essential preliminaries like complex numbers, trigonometry, and summation rules. It serves as a bridge between traditional math education and the specific requirements of quantum computing, empowering learners to confidently navigate this fascinating and rapidly evolving field.