This textbook represents an extensive and easily understood introduction to tensor analysis, which is to be construed here as the generic term for classical tensor analysis and tensor algebra, and which is a requirement in many physics applications and in engineering sciences. Tensors in symbolic notation and in Cartesian and curvilinear co-ordinates are introduced, amongst other things, as well as the algebra of second stage tensors. The book is primarily directed at students on various engineering study courses. It imparts the required algebraic aids and contains numerous exercises with answers, making it eminently suitable for self study.