LITERARY NOTICES. 



565 



their object has been to lead the student as 

 simply and rapidly as possible into what is 

 itself a suitable theme for more than one 

 large volume. The automorphic functions 

 have been entirely passed over, since it was 

 not possible to give even an introductory 

 sketch within the space available. However, 

 an account of some of Kronecker's work, 

 which is necessary for the study of Klein's 

 recent developments of the theory of Abeh'an 

 functions, is included, and one chapter is de- 

 voted to a treatment of double theta-f unc- 

 tions, which goes further than the immediate 

 purpose of the authors, for the reason that 

 the subject is not very accessible in English. 

 A glossary is added which gives the prin- 

 cipal technical terms employed by German 

 and French writers, with the adopted equiva- 

 lents. There are also an index and a table 

 of references. 



The second volume of the Treatise on the 

 Mathematical Theory of Elasticity, by A. E. 

 II. Love (Macmillan, $3), has now been 

 issued, the first volume having appeared a 

 year ago. Volume II opens with a Historical 

 Introduction, tracing the work of the two 

 Bernouillis, Lagrange, Saint- Venant, Poisson, 

 Kirchhoff, Thomson and Tait, Boussinesq, 

 Clebsch, Rayleigh, and others. In the eleven 

 chapters forming the body of the volume 

 the author treats first the elasticity of thin 

 rods, passes from this to thin plates and 

 shells, and concludes with a chapter on the 

 stability of elastic systems. There is an in- 

 dex to the present volume, and forty dia- 

 grams are employed in the text. 



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