In the works of A bel, Euler, Jacobi, Legendre, and others, the student of Mathematics has a most abundant supply of material for the study of the subject of Elliptic Functions. These works, however, are not accessible to the general student, and, in addition to being very technical in their treatment of the subject, are moreover in a foreign language. It is in the hope of smoothing the road to this interesting and increasingly important branch of Mathematics, and of putting within reach of theE nglish student a tolerably complete outline of the subject, clothed in simple mathematical language and methods, that the present work has been compiled. New or original methods of treatment are not to be looked for. The most that can be expected will be the simplifying of methods and the reduction of them to such as will be intelligible to the average student of Higher Mathematics. I have endeavored throughout to use only such methods as are familiar to the ordinary student of Calculus, avoiding those methods of discussion dependent upon the properties of double periodicity, and also those depending upon Functions of Complex Variables. For the same reason I have not carried the discussion of the 0and Hfunctions
(Typographical errors above are due to OCR software and don't occur in the book.)
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