Theory of Functions

ISBN-10: 0486692191

ISBN-13: 9780486692197

Edition: 1996 (Unabridged)

Authors: Konrad Knopp, Frederick Bagemihl

List price: $16.95 Buy it from $7.94
eBook available
30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy


Two volumes of a classic 5-volume work in 1 handy edition. Part I considers general foundations of the theory of functions; Part II stresses special functions and characteristic, important types of functions, selected from single-valued and multiple-valued classes. Demonstrations are full and proofs given in detail. Introduction. Bibliographies.
New Starting from $14.84
eBooks Starting from $16.95
Buy eBooks
what's this?
Rush Rewards U
Members Receive:
You have reached 400 XP and carrot coins. That is the daily max!
Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Calculus 1 Online content $4.95 $1.99
Add to cart
Study Briefs
Algebra Online content $4.95 $1.99
Add to cart
Study Briefs
Introduction to Logic Online content $4.95 $1.99
Add to cart
Study Briefs
Business Math Formulas Online content $4.95 $1.99
Customers also bought

Book details

List price: $16.95
Copyright year: 1996
Publisher: Dover Publications, Incorporated
Publication date: 8/12/1996
Binding: Paperback
Pages: 320
Size: 5.50" wide x 8.00" long x 0.75" tall
Weight: 0.660
Language: English

Fundamental Concepts
Numbers and Points
The Plane and Sphere of Complex Numbers
Point Sets and Sets of Numbers
Paths, Regions, Continua
Functions of a Complex Variable
The Concept of a Most General (Single-valued) Function of a Complex Variable
Continuity and Differentiability
The Cauchy-Riemann Differential Equations
Integral Theorems
The Integral of a Continuous Function
Definition of the Definite Integral
Existence Theorem for the Definite Integral
Evaluation of Definite Integrals
Elementary Integral Theorems
Cauchy's Integral Theorem
Formulation of the Theorem
Proof of the Fundamental Theorem
Simple Consequences and Extensions
Cauchy's Integral Formulas
The Fundamental Formula
Integral Formulas for the Derivatives
Series and the Expansion of Analytic Functions in Series
Series with Variable Terms
Domain of Convergence
Uniform Convergence
Uniformly Convergent Series of Analytic Functions
The Expansion of Analytic Functions in Power Series
Expansion and Identity Theorems for Power Series
The Identity Theorem for Analytic Functions
Analytic Continuation and Complete Definition of Analytic Functions
The Principle of Analytic Continuation
The Elementary Functions
Continuation by Means of Power Series and Complete Definition of Analytic Functions
The Monodromy Theorem
Examples of Multiple-valued Functions
Entire Transcendental Functions
Behavior for Large z
The Laurent Expansion
The Expansion
Remarks and Examples
The Various types of Singularities
Essential and Non-essential Singularities or Poles
Behavior of Analytic Functions at Infinity
The Residue Theorem
Inverses of Analytic Functions
Rational Functions Bibliography
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.