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

William, William S.

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

Synopsis

Mastering the Basics of Complex Functions This concise introduction explains the core ideas of functions of a complex variable. It covers how such functions are defined, represented, and analyzed, with practical definitions and clear examples.

In accessible chapters, you’ll see how complex numbers are used to model functions, how convergence of series works, and how these ideas apply to a broad range of problems in mathematics. The book also highlights key theorems, methods, and tools that underlie more advanced texts and courses.


  • Foundations: what a function is, independent variables, and one- or multi-valued behavior

  • Representation: how complex variables are written and graphed, including polar form

  • Series and convergence: absolute convergence, power series, and uniform convergence

  • Core theorems and techniques: Cauchy’s theorem, residues, and standard series (Taylor, Laurent, Fourier)



Ideal for students beginning the study of complex analysis and readers seeking a solid introduction to a central area of modern mathematics. This edition ties basic concepts to larger works and classic treatments in the field.

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Présentation de l'éditeur

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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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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.