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

Master the essentials of complex analysis with a concise, practical guide.

This introduction covers the core ideas of functions of a complex variable, from basic definitions to key theorems, in a clear, learner-friendly way. This edition presents a compact path through foundational concepts, including how complex functions are defined, how series represent them, and how to work with convergence, derivatives, and integrals. It highlights important tools like Cauchy’s theorem, residues, and Weierstrass’s and Mittag-Leffler’s theorems, with approachable explanations and worked examples.

  • Foundations: independent variables, complex numbers, and the notion of a function in the complex plane
  • Series and convergence: absolute and uniform convergence, power series, and their role in defining functions
  • Core theorems: Cauchy’s theorem, residues, and the interplay between real and complex integration
  • Special topics: conformal representation, analytic properties, and fundamental series (Taylor, Laurent, Fourier)
Ideal for students starting complex analysis, self-learners, and anyone needing a compact, accessible entry point to the subject.

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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

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