Sinopsis
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)
"Sinopsis" puede pertenecer a otra edición de este libro.
Reseña del editor
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.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Reseña del editor
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
"Sobre este título" puede pertenecer a otra edición de este libro.
Resultados de la búsqueda para Mathematical of a Complex Variable Robert and Woodward...
Imagen del vendedor
Functions of a Complex Variable (Classic Reprint)
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
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
Comprar nuevo
EUR 16,65
Gastos de envío gratis
Se envía de Reino Unido a Estados Unidos de America
Se envía de Reino Unido a Estados Unidos de America
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
Mathematical of a Complex Variable Robert and Woodward Classic Reprint
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781440070341
Comprar nuevo
EUR 24,02
Gastos de envío gratis
Se envía dentro de Estados Unidos de America
Se envía dentro de Estados Unidos de America
Cantidad disponible: 15 disponibles
Imagen de archivo
Mathematical of a Complex Variable Robert and Woodward Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781440070341
Comprar nuevo
EUR 22,76
Envío por EUR 4,80
Se envía de Reino Unido a Estados Unidos de America
Se envía de Reino Unido a Estados Unidos de America
Cantidad disponible: 15 disponibles
Imagen de archivo
Functions of a Complex Variable (Classic Reprint)
Impresión bajo demandaLibrería: Revaluation Books, Exeter, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: Brand New. 110 pages. 9.00x6.00x0.25 inches. This item is printed on demand. Nº de ref. del artículo: zk1440070342
Comprar nuevo
EUR 24,48
Envío por EUR 11,54
Se envía de Reino Unido a Estados Unidos de America
Se envía de Reino Unido a Estados Unidos de America
Cantidad disponible: 1 disponibles