This well-known text and reference contains an account of those mathematical methods that have applications in at least two branches of physics. The authors give examples of the practical use of the methods taken from a wide range of physics, including dynamics, hydrodynamics, elasticity, electromagnetism, heat conduction, wave motion and quantum theory. They pay particular attention to the conditions under which theorems hold. Helpful exercises accompany each chapter.

This is a digital reprint of the revised 1976 edition of this classic work. It examines seismology, gravity, the strength of the shell, the variation of latitude and the figure of the Moon. The chapter on tidal friction is largely rewritten and what now seem to be the three most reliable estimates of the true secular acceleration of the Moon agree in suggesting that the provisional estimate in the last edition should be considerably increased. The criticism of theories of continental drift, convection and plate tectonics is much expanded. A new appendix pinpoints directions for future...

A scientific theory is originally based on a particular set of observations. How can it be extended to apply outside this original range of cases? This question, which is fundamental to natural philosophy, is considered in detail in this book, which was originally published in 1931, and first published as this third edition in 1973. Sir Harold begins with the principle that 'it is possible to learn from experience and to make inferences from beyond the data directly known to sensation'. He goes on to analyse this principle, discuss its status and investigate its logical consequences. The...