The discoveries of unconventional superconductivity and superfluidity in most condensed matter systems were major advances in physics. There has been a debate between scientists for a long time: which theory leads to a true understanding of these intriguing phenomena? This is the first book devoted to the modern theory (i.e., Bose-liquid theory) of unconventional superconductors and superfluids. The Bose-liquid theory for unconventional superconductors and superfluids is developed beyond the standard Bardeen-Cooper-Schrieffer (BCS) –like theories of superfluid Fermi-liquids and the usual theory of Bose-Einstein condensation (BEC) of an ideal Bose gas. This theory is a real breakthrough beyond the usual physics of Fermi liquid superconductivity (superfluidity) and BEC phenomenon. The new findings, concepts and principles of the Bose-liquid theory of unconventional superconductivity and superfluidity are presented. The presented Bose-liquid theory describes consistently all the emerging pseudogap behaviors and novel superconducting/superfluid states and properties of high-Tc cuprates and other related systems. The new theoretical results are compared with experimental findings in many specific cases. The present book is needed for readers and researchers, who should be familiar with the fundamentals of the Bose-liquid theory of unconventional superconductors and superfluids, since it is devoted to the new direction in physics.