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Complex analysis an introduction to the theory of analytic functions of one complex variable. by Lars Valerian Ahlfors

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Published by McGraw-Hill in New York .
Written in English


  • Functions of complex variables

Book details:

Edition Notes

SeriesInternational series in pure and applied mathematics
LC ClassificationsQA331 .A45
The Physical Object
Pagination247 p.
Number of Pages247
ID Numbers
Open LibraryOL6112389M
LC Control Number52009437

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Complex Analysis. This is a textbook for an introductory course in complex analysis. This book covers the following topics: Complex Numbers, Complex Functions, Elementary Functions, Integration, Cauchy's Theorem, Harmonic Functions, Series, Taylor and Laurent Series, Poles, Residues and Argument Principle. Author(s): George Cain. As a text it may be a little too succinct for the average undergraduate. For example, I have no intention of teaching out of it. However, its clarity and presentation is absolutely refreshing. I think it is one of the best books written on complex analysis in the last twenty years. I recommend this book to any student of complex by: 4 1. COMPLEX FUNCTIONS ExerciseConsiderthesetofsymbolsx+iy+ju+kv,where x, y, u and v are real numbers, and the symbols i, j, k satisfy i2 = j2 = k2 = ¡1,ij = ¡ji = k,jk = ¡kj = i andki = ¡ik = that using these relations and calculating with the same formal rules asindealingwithrealnumbers,weobtainaskewfield;thisistheset. Jul 17,  · The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. The book consists of three parts. The first part comprises the basic core of a course in complex analysis for junior and senior undergraduates. The second part includes various more specialized topics as the argument principle, the Schwarz lemma and /5(3).

Book · August collection of problems for using as an additional learning resource for those who are taking an introductory course in complex analysis. The problems are numbered and Author: Juan Carlos Ponce Campuzano. complex numbers, here denoted C, including the basic algebraic operations with complex numbers as well as the geometric representation of complex numbers in the euclidean plane. We will therefore without further explanation view a complex number x+iy∈Cas representing a point or a vector (x,y) in R2, and according to. May 09,  · I hugely like this one, Complex Analysis (Princeton Lectures in Analysis, No. 2): Elias M. Stein, Rami Shakarchi: Books Its not just an exceptionally good complex analysis book but it also provides a soft start towards. Jul 09,  · I've never had any complex analysis, but I'd like to teach myself. I don't know of any good books though. I learned Real Analysis with Pugh, so I'd like a Complex Analysis book on a similar level (or maybe higher). I.e., I'm looking for a book that develops Complex Numbers and functions.

Complex Analysis Book A visual and interactive introduction to Complex Analysis. Repositories Packages People Projects Dismiss Grow your team on GitHub. GitHub is home to over 40 million developers working together. Join them to grow your own development teams, manage permissions, and collaborate on projects. The idea of this book is to give an extensive description of the classical complex analysis, here ”classical” means roughly that sheaf theoretical and cohomological methods are omitted. The first four chapters cover the essential core of complex analysis presenting their fundamental results. After this standard material, the authors step forward to elliptic functions and to elliptic. This category contains pages that are part of the Complex Analysis book. If a page of the book isn't showing here, please add text {{BookCat}} to the end of the page concerned. You can view a list of all subpages under the book main page (not including the book main page itself), regardless of whether they're categorized, here. “The book of the known mathematicians J. Bak and D. Newman is an excellent introduction into the theory of analytic functions of one complex variable. The book is written on an elementary level and so it supports students in the early stages of their mathematical studies. .