Suitable for any core physics program, this textbook provides a problem-based approach to accompany advanced courses in continuous media. There are several texts covering basic theory but this book presents the subject through examples and problems with basic theory and background material introduced at the start of each chapter. It is an invaluable companion text for students and lecturers of advanced courses in physics and engineering. The text includes problems from many application areas to enable students to thoroughly grasp what is essentially a heavily mathematical course.