Theory of

Functions of a

Complex Variable

Functions of a

Complex Variable

In the first chapter, I have introduced the algebra of complex num bers as an algebra of number-pairs without giving a general theory of number systems of two (or more) units; I have rather assumed with out discussion the hypotheses characteristic of the theory of ordinary complex numbers.

The second chapter contains a detailed geometrical theory of the elementary rational functions of a complex variable and the conformal representations determined by them. The transition from the plane to the sphere by stereographic projection is also considered; it is used at various places in the following chapters. The chapter closes with a discussion of the symmetric invariants of four points as a function of their double ratio; this takes the place of an example (in itself unimportant) of a rational function of a more general character.

PIBN | 10040693 |

ISBN | 978-1-4400-4036-8 |

ISBN (Hardcover) | 978-0-266-90528-8 |

Language | English |

Category | Calculus |

Pages | 446 |

Words | 103245 |

Vocabulary | 1554 |

An

Introduction ToThe Theory of Multiply

Periodic Functions

Introduction ToThe Theory of Multiply

Periodic Functions

Introduction

to Infinite

Series

to Infinite

Series

A Treatise Upon

Analytical

MechanicsBeing the First Book of the Mechanique Celeste

of P. S. Laplace, Member of the Institute and of

the Bureau of Longitude of France, &C., &C.;

Translated and Elucidated With Explanatory Notes

Analytical

MechanicsBeing the First Book of the Mechanique Celeste

of P. S. Laplace, Member of the Institute and of

the Bureau of Longitude of France, &C., &C.;

Translated and Elucidated With Explanatory Notes

Graphical

Calculus

Calculus

A Treatise Upon

Analytical

MechanicsBeing the First Book of

the Mechanique Celeste

Analytical

MechanicsBeing the First Book of

the Mechanique Celeste

Elements of the

Theory of Functions

of a Complex VariableWith Especial Reference to

the Methods of Riemann

Theory of Functions

of a Complex VariableWith Especial Reference to

the Methods of Riemann

An Elementary

Course in

Differential

Equations

Course in

Differential

Equations

Examples of

the Solutions

of Functional

Equations

the Solutions

of Functional

Equations

Introduction

to Theory

of Analytic

Function

to Theory

of Analytic

Function

A Treatise on

the Theory

of Functions

the Theory

of Functions

Functions

of a Complex

Variable

of a Complex

Variable

Theory of

Functions of a

Complex Variable

Functions of a

Complex Variable

The Quarterly

Journal of Pure

and Applied

Mathematics, 1908

Vol. 39

Journal of Pure

and Applied

Mathematics, 1908

Vol. 39

Vector

AnalysisAn Introduction to Vector-Methods and Their

Various Applications to Physics and Mathematics

AnalysisAn Introduction to Vector-Methods and Their

Various Applications to Physics and Mathematics

The Mathematical

Theory of the TopLectures Delivered on the

Occasion of the Sesquicentennial

Celebration of Princeton University

Theory of the TopLectures Delivered on the

Occasion of the Sesquicentennial

Celebration of Princeton University

Harmonic

Functions

Functions

Elementary

Illustrations

of the Celestial

Mechanics of LaplaceComprehending the First Book

Vol. 1

Illustrations

of the Celestial

Mechanics of LaplaceComprehending the First Book

Vol. 1

Hyperbolic

Functions

Functions

An

Introduction

to Mathematics

Introduction

to Mathematics

Advanced

Course in

Algebra

Course in

Algebra

An Introduction

to the Study of the

Elements of the

Differential and

Integral Calculus

to the Study of the

Elements of the

Differential and

Integral Calculus

A Treatise of

Celestial MechanicsBook the First, Translated From the French,

and Elucidated With Explanatory Notes

Vol. 1

Celestial MechanicsBook the First, Translated From the French,

and Elucidated With Explanatory Notes

Vol. 1

Differential

and Integral

Calculus

and Integral

Calculus

Elementary

Illustrations

of the Celestial

Mechanics of LaplaceComprehending the First Book

Vol. 1

Illustrations

of the Celestial

Mechanics of LaplaceComprehending the First Book

Vol. 1

The Mechanics

of LaplaceTranslated With Notes and Additions

of LaplaceTranslated With Notes and Additions

The

Foundations

of Geometry

Foundations

of Geometry

Vector

AnalysisA Text-Book for the Use of Students

of Mathematics and Physics

AnalysisA Text-Book for the Use of Students

of Mathematics and Physics

Introduction

to QuaternionsWith Numerous Examples

to QuaternionsWith Numerous Examples

Annals of

Mathematics,

1901

Vol. 3

Mathematics,

1901

Vol. 3

The Philosophy

of MathematicsTranslated From the Cours De

Philosophie Positive of Auguste Comte

of MathematicsTranslated From the Cours De

Philosophie Positive of Auguste Comte

Linear

Algebras

Algebras

Differential

and Integral

CalculusFor Technical Schools and Colleges

and Integral

CalculusFor Technical Schools and Colleges

A Brief History

of MathematicsAn Authorized Translation of Dr. Karl Fink's

Geschichte Der Elementar-Mathematik

of MathematicsAn Authorized Translation of Dr. Karl Fink's

Geschichte Der Elementar-Mathematik

Theory of

Differential

EquationsPart III, Ordinary Linear Equations

Vol. 4

Differential

EquationsPart III, Ordinary Linear Equations

Vol. 4

Theory of

Differential

Equations III

Vol. 3

Differential

Equations III

Vol. 3

A Course in

Mathematical

AnalysisDerivatives and Differentials; Definite Integrals;

Expansion in Series; Applications to Geometry

Vol. 1

Mathematical

AnalysisDerivatives and Differentials; Definite Integrals;

Expansion in Series; Applications to Geometry

Vol. 1

Transactions of

the Cambridge

Philosophical

Society, 1822

Vol. 17

the Cambridge

Philosophical

Society, 1822

Vol. 17

Solid

Geometry

Geometry

Principles

of GeometryAnalytical Principles of

the Theory of Curves

Vol. 5

of GeometryAnalytical Principles of

the Theory of Curves

Vol. 5

Monographs

on Topics

of Modern

Mathematics

on Topics

of Modern

Mathematics

A Treatise on

Electricity

and Magnetism

Vol. 1

Electricity

and Magnetism

Vol. 1

Theory and

Applications of

Finite Groups

Applications of

Finite Groups

The

Messenger of

Mathematics

Vol. 34

Messenger of

Mathematics

Vol. 34

A Treatise on

the Calculus

of Finite

Differences

the Calculus

of Finite

Differences

A History of

Mathematics

Mathematics

Advanced

CalculusA Text Upon Select Parts of Differential

Calculus, Differential Equations,

Integral Calculus, Theory of Functions

CalculusA Text Upon Select Parts of Differential

Calculus, Differential Equations,

Integral Calculus, Theory of Functions

The

Calculus for

Engineers

Calculus for

Engineers

On Generators of

the Banach Algebra

L1 (O, Oo) And

Related Questions

the Banach Algebra

L1 (O, Oo) And

Related Questions

An Introduction

to the Theory

of Automorphic

Functions

to the Theory

of Automorphic

Functions

Four Lectures

on MathematicsDelivered at Columbia

University in 1911

on MathematicsDelivered at Columbia

University in 1911

Elements of

Quaternions

Vol. 1

Quaternions

Vol. 1

A Well Posed

Boundary Value

Problem in Transonic

Gas Dynamics

Boundary Value

Problem in Transonic

Gas Dynamics