Prized for its extensive coverage of classical material, this text is also well regarded for its unusual fullness of treatment and its comprehensive discussion of both theory and applications. The author developes the theory of elliptic integrals, beginning with formulas establishing the existence, formation, and treatment of all three types, and concluding with the most general description of these integrals in terms of the Riemann surface. The theories of Legendre, Abel, Jacobi, and Weierstrass are developed individually and correlated with the universal laws of Riemann. The important contributory theorems of Hermite and Liouville are also fully developed. 1910 ed.
Here's a sample of other books in this Dover category
The Variational Theory of Geodesics by M. M. Postnikov Compact, self-contained text by noted theorist presents the most fundamental aspects of modern differential geometry as well as the basic tools required for the study of Morse theory. 1967 edition.
Problem Book in the Theory of Functions by Konrad Knopp Single-volume edition of renowned collection of problems. Part 1 contains more than 300 problems dealing with fundamental concepts; part 2 has over 230 problems in advanced theory. Includes hints and full solutions to all problems.
