This is an introductory textbook on spherical and positional astronomy. It is entirely suitable for use by students with no prior knowledge of classical astronomy. At the same time, it is sufficiently comprehensive to make it a useful background reference book for anyone engaged in practical astronomy. The first three chapters sketch essential background: mathematical techniques and coordinate systems. Successive chapters then give treatments of refraction, aberration, stellar parallex, precession, nutation and proper motion. An entire chapter is devoted to astrographic plate measurements. The gravitational two-body problem is solved and applied to solar system dynamics. Novel areas include a full treatment of binary star orbits and two chapters on developments in radio astronomy. Worked examples and problems to be solved by the reader ensure that this is a valuable textbook.