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Vorlesungen über die Theorie der elliptischen - KLEIN, Felix... - 1890. [1279000]
Leipzig: B. G. Teubner, 1890. 1st Edition. Hardcover. 8vo - over 7¾ - 9¾" tall. 1890-1892. 8vo (242 x 161 mm). xix [1], 764; xv [1], 712 pp. Several diagrams in text. Contemporary three-quarter calf over marbled boards (extremities rubbed), gilt-lettered spine, sprinkled edges. Paper little age-toned, occasional minor spotting, slight foxing to titl-pages. Still very good, unmarked copy. ----DSB VII, p.398. FIRST EDITION of this important work on elliptic function theory by the well known German mathematician. Felix Klein (1849-1925) is best known for his work in non-euclidean geometry, for his work on the connections between geometry and group theory, and for results in function theory. He considered equations of degree greater than four and was particularly interested in using transcendental methods to solve the general equation of the fifth degree. After building on methods due to Hermite and Kronecker he went on to completely solve the problem using the group of the icosahedron. This work led him to consider elliptic modular functions which he studied and presented in a series of basic papers. In collaboration with Robert Fricke he finally presented the complete theory in the present extensive work that is still indispensable for research (DSB). Very Good....
      [Bookseller: Milestones of Science Books]
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