Mathematical of a Complex Variable Robert and Woodward (Classic Reprint) - Softcover

William, William S.

9781440070341: Mathematical of a Complex Variable Robert and Woodward (Classic Reprint)

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ISBN 10: 1440070342 ISBN 13: 9781440070341

Verlag: Forgotten Books, 2012

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The volume called Higher Mathematics, the first edition of which was published in 1896, contained eleven chapters by eleven authors, each chapter being independent of the others, but all supposing the reader to have at least a mathematical training equivalent to that given in classical and engineering colleges. The publication of that volume is now discontinued and the chapters are issued in separate form. In these reissues it will generally be found that the monographs are enlarged by additional articles or appendices which either ampH fy the former presentation or record recent advances. This plan of publication has been arranged in order to meet the demand of teachers and the convenience of classes, but it is also thought that it may prove advantageous to readers in special lines of mathematical hterature. It is the intention of the publishers and editors to add other monographs to the series from time to time, if the call for the same seems to warrant it. A mong the topics which are imder consideration are those of elliptic functions, the theory of numbers, the group theory, the calculus of variations, and nonE uclidean geometry; possibly also monographs on branches of astronomy, mechanics, and mathematical physics may be included. It is the hope of the editors that this form of publication may tend to promote mathematical study and research over a wider field than that which the former volume has occupied. December,
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Excerpt from Functions of a Complex Variable

If two or more quantities are such that no one of them suf fers any restriction in regard to the values which it can assume when any values whatsoever are assigned to the others, the quantities are said to be independent.

A quantity is said to be a function of another quantity or of several independent quantities if the former is determined in value whenever particular values are assigned to the latter. The quantity or quantities upon the values of which the value of the function depends, are said to be the independent vari ables of the function.

A function is one-valued, or uniform, when to every set of values assigned to the independent variables there cor responds but one value of the function. It is said to be ri-valued when to every set of values of the independent variables n values of the function correspond.

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