Multiferroics are materials that exhibit both ferroelectricity and magnetism, which have become a hot topic in condensed matter physics and materials science. These materials can exhibit novel physical phenomena and offer new device functions. Recent research has led to the discovery of new mechanisms for generating multiferroicity, such as ferroelectricity induced by spin orders, charge ordered states, and ferrotoroidic systems. The article reviews the progress in this field, focusing on single-phase multiferroics where magnetism and ferroelectricity coexist. It discusses the physical concepts of multiferroicity, the challenges in integrating magnetism and ferroelectricity, and various strategies for combining these orders. The article also addresses elementary excitations such as electromagnons and potential applications of multiferroics. It highlights the importance of efficient coupling between the two orders and the challenges in achieving it. The article also discusses the incompatibility between ferroelectricity and magnetism, the mechanisms for their integration, and the potential applications of multiferroics in devices such as magnetic field sensors and spin filters. The article concludes with open questions and future directions in the field of multiferroics.Multiferroics are materials that exhibit both ferroelectricity and magnetism, which have become a hot topic in condensed matter physics and materials science. These materials can exhibit novel physical phenomena and offer new device functions. Recent research has led to the discovery of new mechanisms for generating multiferroicity, such as ferroelectricity induced by spin orders, charge ordered states, and ferrotoroidic systems. The article reviews the progress in this field, focusing on single-phase multiferroics where magnetism and ferroelectricity coexist. It discusses the physical concepts of multiferroicity, the challenges in integrating magnetism and ferroelectricity, and various strategies for combining these orders. The article also addresses elementary excitations such as electromagnons and potential applications of multiferroics. It highlights the importance of efficient coupling between the two orders and the challenges in achieving it. The article also discusses the incompatibility between ferroelectricity and magnetism, the mechanisms for their integration, and the potential applications of multiferroics in devices such as magnetic field sensors and spin filters. The article concludes with open questions and future directions in the field of multiferroics.