Functions of One Complex Variable
- ISBN-10
- 0387900616
- ISBN-13
- 9780387900612
- Category
- Mathematics / Mathematical Analysis
- Pages
- 313
- Language
- English
- Published
- 1973-10-16
- Publisher
- Springer New York
- Author
- J.B. Conway
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 Complex Analysis as "An Introduction to Mathe matics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.
Get the book
Other editions
Similar books
-
Differentiability of Six Operators on Nonsmooth Functions and P-Variation
By R. M. Dudley, R. NorvaišaFor a class of cases where Theorem 5.3 applies , with its somewhat unusual hypothesis on uog- , let N = { 0 , 1 ) , H = U ( 0,1 ) , let H be the distribution function of a random variable X having a strictly positive density on R and E ...
-
Calculus of Variations and Partial Differential Equations: Proceedings of a Conference, held in Trento, Italy, June 16-21, 1986
By Stefan Hildebrandt, David Kinderlehrer- H. Beirao da Veiga: On the incompressible limit of the compressible Navier-Stokes equations.- A. Bove: Propagation of singularities for hyperbolic operators with double characteristics.- G. Buttazzo: Relaxation problems in control theory.
-
有限元分析的数学建模、校核与验证
By （美）萨伯（Szabo， B.）, 巴布斯卡（Babuska， I.）著, 谢宗蕻本书是美国著名力学和数学家BarnaSzabó教授和IvoBabu?ka教授的经典之作。书中重点介绍了有限元模型的建立、验证与校核，尤其是详细介绍了p型有限元的基本理论，p型、h型以及hp型有 ...
-
Vibrational Mechanics: Nonlinear Dynamic Effects, General Approach, Applications
By Iliya I. Blekhman"I think this new book has no real competitors.
-
Calculus with Analytic Geometry, Brief Edition
By Howard AntonThe aim of this major revision is to create a contemporary text which incorporates the best features of calculus reform yet preserves the main structure of an established and well-tested...
-
Regularity of Minimal Surfaces
By Ulrich Dierkes, Stefan Hildebrandt, Anthony TrombaRegularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed...
-
Partial Differential Equations and Calculus of Variations
By Stefan HildebrandtThis volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE's...
-
Elementary Differential Equations and Boundary Value Problems
By Boyce, William E. Boyce, Richard C. DiPrimaWritten primarily for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year. The main prerequisite is a working...
-
Advanced Calculus and Its Applications to the Engineering and Physical Sciences
By John C. Amazigo, Lester A. RubenfeldWritten in problem-solving format, this book emphasizes the purpose of an advanced calculus course by offering a more thorough presentation of some topics to which engineering and physical science students...
-
Great Ideas of Modern Mathematics, Their Nature and Use
By Jagjit SinghAn internationally famous expositor discusses such topics as differential equations, matrices, groups, sets, transformations, mathematical logic and other important areas of modern mathematics. His clear-cut explanations for both lay readers...