Functions of a complex variable

  • 298 Pages
  • 4.26 MB
  • 2498 Downloads
  • English
by
Macmillan and Co., limited , London
Funct
Statementby Thomas M. Mac Robert.
Classifications
LC ClassificationsQA331 .M27
The Physical Object
Paginationxiv, 298 p.
ID Numbers
Open LibraryOL6606867M
LC Control Number18007156
OCLC/WorldCa10442942

I also bought the amazing pair of books Theory of Functions of a Complex Variable, by A. Markushevich, and yeah, those really are wonderful books for anyone studying complex analysis at any level, but they are also pretty expensive (although totally worth it if you like variety).

Flanigan's book is actually more readable than even Cited by: 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: 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.

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.

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.

The actual pre requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives/5(4). 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 a Complex Variable A complex function w = u + iv of a complex variable z = x + iy is The complex functions deflned this way feature all the functional and difierential relations characteristic of corresponding real functions, be-cause (i) these relations are captured algebraically by the power series and.

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. Download 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.

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.

Details Functions of a complex variable EPUB

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. Introduction To The Theory Of Functions Of A Complex Variable by Thron, Wolfgang J. and a great selection of related books, art and collectibles available now at 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. In particular it covers: conformal equivalence for simply connected regions, conformal equivalence for finitely.

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. Smirnov and later by Dr. 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. This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable, /5(7).

"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/5.

Functions of A Complex Variable. J.N.

Description Functions of a complex variable FB2

Sharma. Krishna Prakashan Media, - Functions of a complex variable - pages. 3 Reviews. Preview this book Entire Functions 10 Evaluation of the integrals of the form I sin mx dx etc.

Case of the Poles on the real axis. Reviews: 3. This is an advanced undergraduate course dealing with calculus in one complex variable with geometric emphasis. Since the course Analysis I (B) is a prerequisite, topological notions like compactness, connectedness, and related properties of continuous functions are taken for granted.

This course offers biweekly problem sets with solutions, two term tests and a final. Complex Variables covers topics ranging from complex numbers to point sets in the complex plane, elementary functions, straight lines and circles, simple and conformal transformations, and zeros and singularities.

Cauchy's theorem, Taylor's theorem, Laurent's theorem, contour integration, and miscellaneous theorems are also discussed. 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.

The actual pre­ requisites for reading this book. 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. $\begingroup$ 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.

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 by: 2. A Guide to Complex Variables Steven G.

Krantz Octo iii To Paul Painlev´e (–). Table of Contents Preface v 1 The Complex Plane 1 Real- and Complex-Valued Harmonic Functions Harmonic Functions as the Real Parts of Holomorphic.

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. The actual pre- requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about /5(5).

A First Course in Functions of a Complex Variable by Kaplan, Wilfred and a great selection of related books, art and collectibles available now at "This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner.

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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.

Even if component functions of a complex function have all the partial derivatives, does not imply that the complex function will be differentiable. See Example Some rules for obtaining the derivatives of functions are listed here.

Let ½ and ¾ be differentiable at ¿ À 1. Á Á Â Ã ½ Ä ¾ Å ¿ Æ Ç À 2. Á Á Â Ã ½ ¾ Å ¿ Æ. The theory of functions of a complex variable has been developed by the efforts of thousands of workers through the last hundred years.

To give even the briefest account of the present state of that theory in all its branches would be impossible within the limits of this book. Functions of a complex variable.

TDP. This short tutorial is a companion material to the course on Functions of a Complex Variables. It is intended to help the student, but will replace neither personal lecture notes nor a good textbook. Foundations of the Theory of Functions of a Complex Variable.

The Integration of Analytic Functions. Cauchy's Formula and its Applications. Applications to Complex Integration (Contour Integration) Many‐valued Functions and Analytic Extension.Functions of a complex variable.

[E J Townsend] Book, Internet Resource: All Authors / Contributors: E J Townsend. Find more description\/a> \" Real and complex numbers -- Fundamental definitions concerning functions -- Differentiation and integration -- Mapping, with applications to elementary functions -- Linear fractional.Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex 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 .