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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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,
(Typographical errors above are due to OCR software and don't occur in the book.)
About the Publisher
Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.
Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst di
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Paperback. Condición: New. Print on Demand. This book, an introductory account of the theory of functions of a complex variable, presents foundational principles as well as advanced concepts, equipping readers with the tools to explore more specialized areas of mathematics. The author's clear and detailed exposition covers introductory topics such as the representation of complex numbers and elementary functions, the definition of a function as monogenic, and the application of complex functions to conformal representation. Advanced concepts include singular points, branch points, Cauchy's Theorem, and Riemann surfaces. The author presents Taylor's and Laurent's series and examines functions having an infinite number of values. Throughout, the book emphasizes graphical representation and provides many concrete examples and problems, helping readers understand and apply the presented material. This book serves as a valuable resource for mathematicians, physicists, and engineers, providing a solid foundation for further study of complex analysis and its applications in various fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781440070341_0
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Paperback. Condición: Brand New. 110 pages. 9.00x6.00x0.25 inches. This item is printed on demand. Nº de ref. del artículo: zk1440070342
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