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A TREATISE ON THE THEORY OF FUNCTIONS

Harkness, James; & Morley. Frank

Editorial: Macmillan, New York and London, 1893
Condición: Very Good Encuadernación de tapa dura
Librería: 100POCKETS (Berkeley, CA, Estados Unidos de America)

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This amazing work, which provided at least five concepts commonly used today in mathematics (field (in the sense of neighborhood), and zero (of a function) are two of them) was a precursor volume to the authors' influential Introduction to the Theory of Analytic Functions (London: Macmillan, 1898), but is substantially more than a trial run. "We have aimed at a full presentation of the standard parts of [the theory of functions]. with certain exceptions. Of these exceptions, three must be stated. In ch. ii, the theory of real functions of a real variable is given only so far as seems necessary as a basis for what follows. In the account of Abelian integrals (ch. x), our object is to induct the reader as simply and rapidly as possible into what is itself a a suitable theme for more than one large volume. And we have entirely passed over the automorphic functions, since it was not possible to give even an introductory sketch within the space at our disposal. However, an account of some of Kronecker's work, which is necessary for the study of Klein's recent developments of the theory of Abelian functions, is included in ch. vi; and ch. viii is devoted to a somewhat condensed treatment of double theta-functions, which goes further than necessary for our immediate purpose . " [Preface, 1893] The Chapter titles are: Geometric Introduction; Real Functions of a Real Variable; The Theory of Infinite Series; Algebraic Functions; Integration; Riemann Surfaces; Elliptic Functions; Double Theta-Functions; Dirachlet's Problem; and Abelian Integrals. Who contributed more to the volume is for historians of mathematics to decide: perhaps Harkness, a deliberate, perceptive academic, or perhaps the British-born Morely, a mercurial geometer on his first outing. Whoever it was, the partnership produced two milestone volumes in American (or Anglo-American) mathematics, this the first. You may judge its contribution by viewing a copy of the Treatise itself at the Cornell University Library website. 507 (+ ix) pages, with figures, Examples, Index, Glossary, and Table of Authorities Referred To. Boards are blank front and rear, and carry Theory/of/Functions, Harkness/and/Morely, and Dept. of/Mathematics in gilt letters on backstrip: they show shelf-use at edges, and sticker shadows above and below title and authors; there is a tape-mended tear on second title page; second title and title pages were clipped early on at upper corners; chop of prior owner on title page; text is strong, but has colored throughout and has insignificant foxing. Size: 8 3/4" Tall. N° de ref. de la librería 204219

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Título: A TREATISE ON THE THEORY OF FUNCTIONS

Editorial: Macmillan, New York and London

Año de publicación: 1893

Encuadernación: Mushroom Boards

Condición del libro:Very Good

Condición de la sobrecubierta: No Jacket

Tipo de libro: Hardcover Monograph

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