vi Preface 



complex variable, Fourier's series, conjugate functions, curvilinear coordi- 

 nates, etc.). 



A number of examples, taken mainly from the usual Cambridge 

 examination papers, are inserted. These may provide problems for the 

 mathematical student, but it is hoped that they may also form a sort of 

 compendium of results for the physicist, shewing what types of problem 

 admit of exact mathematical solution. I have borrowed from Mr Whetham's 

 Experimental Electricity the plan of giving a few " References " at the end 

 of each chapter. 



Any attempt to bring a book of this kind up to the boundaries of 

 existing knowledge would obviously be out of place, and I have felt 

 throughout that the nature of the book did not permit of much newness 

 or originality of treatment. Consequently the work of writing the book 

 has not been one of much interest : it was undertaken in the hope that it 

 would be of some service, however slight, to those engaged in the teaching 

 or study of mathematical physics. 



It is again a pleasure to record my thanks to the officials of the 

 University Press for their unfailing vigilance and help during the printing 

 of the book. 



J. H. JEANS. 



PRINCETON. 



December, 1907. 



