2 edition of **Functions of complex variables** found in the catalog.

Functions of complex variables

Philip Franklin

- 147 Want to read
- 17 Currently reading

Published
**1958**
by Prentice-Hall;Bailey & Swinfen
.

Written in English

- Functions of complex variables.

**Edition Notes**

Statement | (by) Philip Franklin. |

Series | Mathematics series |

The Physical Object | |
---|---|

Pagination | ix,246p. : |

Number of Pages | 246 |

ID Numbers | |

Open Library | OL19594965M |

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This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable. It treats several topics in geometric function theory as well as potential theory in the plane. 5 + $ " 6 7 " 7 $ 8 # *! + $ +# $ ' - 9:; " 9:; Ch: 1 2 3 4 5 6 7 5 () TOC Index - ') - & # ' (' # ' & % '.

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is useful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and particularly . Caratheodory's books Theory of Functions Vol. I and II are closely related to our text. Also, I would particularly recommend Pólya and Szegö: Problems and Theorems in Analysis. Several chapters there deal with the subject of complex variables. Rudin's book, Real and Complex Analysis is also a valuable reference. Caratheódory, Constantin.

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Functions of a complex variable are used to solve applications in various branches of mathematics, science, and engineering. Functions of a Complex Variable: Theory and Technique is a book in a special category of influential classics because it is based on the authors' extensive experience in modeling complicated situations and providing analytic by: The textbook we're using is Complex Variables and Applications, by Brown & Churchill, and is actually a pretty good book on its own.

I have also purchased Shilov's Elementary Real and Complex Analysis, which Functions of complex variables book not much help at all for this course, as well as Palka's An Introduction to Complex Function Theory, which was much thicker and yet still not nearly as easy to follow as by: Functions of a Complex Variable and Some of Their Applications, Volume 1, discusses the fundamental ideas of the theory of functions of a complex variable.

The book is the result of a complete rewriting and revision of a translation of the second () Russian edition. Numerous changes and additions have been made, both in the text and in the solutions of the Exercises. The book begins with a review of.

Functions of a Complex Variable: Theory and Technique is a book in a special category of influential classics because it is based on the authors' extensive experience in modeling complicated situations and providing analytic solutions.

Functions of a complex variable. This book is designed for students who, having acquired a good working knowledge of the calculus, desire to become acquainted with the theory of functions of a complex variable, and with the principal applications of that us examples have been given throughout the book, and there is also a set of Miscellaneous Examples, arranged to.

Functions of One Complex Variable I. This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments/5(4).

$\begingroup$ Well,the objects of functions of several complex variables are manifolds with a complex topological vector space ore,they are the centerpieces of the bulk of postth century analysis and geometry and the tools of sheaf theory via commutative algebra are deeply interwoven in a result of all this,any "pure" approach-say,emphasizing analysis-only tells part of the story.

The book covers basic aspects of complex numbers, complex variables and complex functions. It also deals with analytic functions, Laurent series etc. Contents. Introduction 9 Chapter 1. THE COMPLEX VARIABLE AND FUNCTIONS OF A COMPLEX VARIABLE Complex Numbers and Operations on Complex Numbers 11 a.

The concept of a complex number 11 b. 2 Functions of Complex Variables 5 Functions of a Complex Variable 5 Elementary Functions 5 Mappings 7 Mappings by Elementary Functions.

8 3 Analytic Functions 11 Limits 11 Continuity 12 Derivative 12 Cauchy- Riemann Equations vi Contents Analytic Functions 14 Harmonic Functions 14 4 Integrals Functions of a Complex Variable A complex function w = u + iv of a complex variable z = x + iy is introduced as a complex-valued function of two real variables, x and y.

Functions of a complex variable are used to solve applications in various branches of mathematics, science, and engineering. Functions of a Complex Variable: Theory and Technique is a book in a special category of influential classics because it is based on the authors' extensive experience in.

functions and mapping of several complex variables and prove the n-dimensional h-out this book n,m denote natural numbers (including zero). The set of strictly positive naturals will be denoted by N +, the set of strictly positive reals by R +.

Functions of a Complex Variable book. Read reviews from world’s largest community for readers. Developed from a highly successful series of lectures give Ratings: 0.

Shop for Books on Google Play. Browse the world's largest eBookstore and start reading today on the web, tablet, phone, or ereader. Go to Google Play Now» Functions of A Complex Variable.

J.N. Sharma. Krishna Prakashan Media, - Functions of a complex variable - pages. 3 Reviews Analyticity of the sum function of a series Term Reviews: 3. Complex Analysis has successfully maintained its place as the standard elementary text on functions of one complex variable.

There is, never theless, need for a new edition, partly because of changes in current mathe matical terminology, partly because of differences in student preparedness and aims.

"Schaum's Outline of Complex Variables, Second Edition" by Murray Spiegel. This has plenty of solved and unsolved exercises ranging from the basics on complex numbers, to special functions and conformal mappings.

This has a note on the zeta function. "Geometric Function Theory: Explorations in Complex Analysis" by Steven Krantz. Functions of a complex variable are used to solve applications in various branches of mathematics, science, and engineering.?Functions of a Complex Variable: Theory and Technique?is a book in a special category of influential classics because it is based on the authors' extensive experience in modeling complicated situations and providing analytic solutions.

Additional Physical Format: Online version: Franklin, Philip, Functions of complex variables. Englewood Cliffs, N.J., Prentice-Hall, (OCoLC) Functions of one complex variable John B Conway.

This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis.

Book Description. Functions of a Complex Variable provides all the material for a course on the theory of functions of a complex variable at the senior undergraduate and beginning graduate level. Also suitable for self-study, the book covers every topic essential to training students in complex analysis.

Functions of One Complex Variable (Graduate Texts in Mathematics - Vol 11) (v. 1): John B Conway: : Books. On a different note, probably the worst complex analysis book I have ever seen is the one that was my undergraduate textbook - the book by Reinhold Remmert.

I found it terrible. Part I: Complex Variables, Lecture 2: Functions of a Complex Variable Instructor: Herbert Gross View the complete course: Lic.This book is based on a series of lectures on “The Constructive Theory of Functions of a Complex Variable,” given at the Leningrad University by Professor V.

I. Smirnov and later by Dr. N. A. Lebedev. Professor Smirnov is a full member of the U.S.S.R. Academy of sciences and author of numerous books and papers on advanced mathematics.

Both men are distinguished mathematicians with.