"Spherical soap bubbles" or spherical immersions, belong to a fast growing and fascinating area between algebra and geometry. This theory has rich interconnections with a variety of mathematical disciplines. In this book, the author traces the development of the study of spherical minimal immersions. In trying to make this monograph accessible not just to research mathematicians but also to graduate students, the author included sizeable pieces of material from upper level undergraduate courses as well as a valuable selection of exercises at the end of each chapter.