Functions of One Complex Variable I by John B Conway
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 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.-
Algebraic Geometry
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Introduction to Riemannian Manifolds
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Algebra
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Brownian Motion and Stochastic Calculus
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Applications of Lie Groups to Differential Equations
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The Arithmetic of Elliptic Curves
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Advanced Linear Algebra
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Groups and Representations
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Modular Functions and Dirichlet Series in Number Theory
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Categories for the Working Mathematician
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Quaternion Algebras
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Measure, Integration & Real Analysis
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Differential Forms in Algebraic Topology
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Complex Analysis
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Modern Graph Theory
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Problems in Analytic Number Theory
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Representation Theory
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Fermat's Last Theorem
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Holomorphic Functions and Integral Representations in Several Complex Variables
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Elements of Homotopy Theory
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Graph Theory
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Probability Theory I
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Algebraic Number Theory
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Topology and Geometry
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Foundations of Differentiable Manifolds and Lie Groups
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Abstract Algebra
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Introduction to Topological Manifolds
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Linear Representations of Finite Groups
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A Classical Introduction to Modern Number Theory
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Introduction to Smooth Manifolds
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Brownian Motion, Martingales, and Stochastic Calculus
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Lie Groups, Lie Algebras, and Representations
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A First Course in Modular Forms
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Commutative Algebra
"This book presents a basic introduction to complex analysis in both an interesting and a rigorous mannerIt 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. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book for classroom use or self-study." --MathSciNet
Conway, John B.: - John B. Conway is Professor Emeritus of Mathematics at George Washington University, Washington DC. He is the author of eleven books, including Mathematical Connections: A Capstone Course (2010), A Course in Functional Analysis (2010), and the two-volume Functions of One Complex Variable (1995).
| SKU | Unavailable |
| ISBN 13 | 9780387903286 |
| ISBN 10 | 0387903283 |
| Title | Functions of One Complex Variable I |
| Author | John B Conway |
| Series | Graduate Texts In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 1978-08-24 |
| Number of pages | 322 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |