Function Theory of One Complex Variable
Score: 5
From 1 Ratings

Function Theory of One Complex Variable


  • Author : Robert Everist Greene
  • Publisher : American Mathematical Soc.
  • Release Date : 2006
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 0821839624


Function Theory of One Complex Variable Book Description :

The third edition of this textbook on one of mathematics' most central subjects includes revisions of many exercises for greater consistency, as well as clarifications of several proofs. The authors treat complex variables as a direct development from calculus, relating ideas such as the complex derivative and the Cauchy theorem to their cognate idea from calculus. Many examples, figures and exercises enrich the text....

Functions of One Complex Variable I
Score: 4.5
From 4 Ratings

Functions of One Complex Variable I


  • Author : John B. Conway
  • Publisher : Springer Science & Business Media
  • Release Date : 1978-08-24
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 0387903283


Functions of One Complex Variable I Book Description :

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. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Comple...

Functions of One Complex Variable

Functions of One Complex Variable


  • Author : J.B. Conway
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 9781461599722


Functions of One Complex Variable Book Description :

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 - I) 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. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Compl...

Elementary Theory of Analytic Functions of One or Several Complex Variables

Elementary Theory of Analytic Functions of One or Several Complex Variables


  • Author : Henri Cartan
  • Publisher : Courier Corporation
  • Release Date : 2013-04-22
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 9780486318677


Elementary Theory of Analytic Functions of One or Several Complex Variables Book Description :

Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition....

Function Theory of One Complex Variable
Score: 5
From 1 Ratings

Function Theory of One Complex Variable


  • Author : Robert Everist Greene
  • Publisher : American Mathematical Soc.
  • Release Date : 2002
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 082182905X


Function Theory of One Complex Variable Book Description :

Complex analysis is one of the most beautiful subjects that we learn as graduate students. Part of the joy comes from being able to arrive quickly at some real theorems. The fundamental techniques of complex variables are also used to solve real problems in neighbouring subjects, such as number theory or PDEs....

Complex Variables

Complex Variables


  • Author : Carlos A. Berenstein
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 9781461230243


Complex Variables Book Description :

Textbooks, even excellent ones, are a reflection of their times. Form and content of books depend on what the students know already, what they are expected to learn, how the subject matter is regarded in relation to other divisions of mathematics, and even how fashionable the subject matter is. It is thus not surprising that we no longer use such masterpieces as Hurwitz and Courant's Funktionentheorie or Jordan's Cours d'Analyse in our courses. The last two decades have seen a significant change in the techniques used in the theory of functions of one complex variable. The important role played by the inhomogeneous Cauchy-Riemann equation in the current research has led to the reunification, at least in their spirit, of complex analysis in one and in...

Function Theory of Several Complex Variables

Function Theory of Several Complex Variables


  • Author : Steven George Krantz
  • Publisher : American Mathematical Soc.
  • Release Date : 2001
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 9780821827246


Function Theory of Several Complex Variables Book Description :

The theory of several complex variables can be studied from several different perspectives. In this book, Steven Krantz approaches the subject from the point of view of a classical analyst, emphasizing its function-theoretic aspects. He has taken particular care to write the book with the student in mind, with uniformly extensive and helpful explanations, numerous examples, and plentiful exercises of varying difficulty. In the spirit of a student-oriented text, Krantz begins with an introduction to the subject, including an insightful comparison of analysis of several complex variables with the more familiar theory of one complex variable. The main topics in the book include integral formulas, convexity and pseudoconvexity, methods from harmonic anal...

Functions of a Complex Variable

Functions of a Complex Variable


  • Author : Hemant Kumar Pathak
  • Publisher : CRC Press
  • Release Date : 2015-10-14
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 9781498720168


Functions of a Complex Variable 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. It also incorporates special topics to enhance students’ understanding of the subject, laying the foundation for future studies in analysis, linear algebra, numerical analysis, geometry, number theory, physics, thermodynamics, or electrical engineering. After introducing the basic concepts of complex numbers and their geometrical representation, the text describes analytic functions, power series and elementary functions, the conformal representation of an analytic ...