Introduction to Complex Manifolds by John M Lee
Complex manifolds are smooth manifolds endowed with coordinate charts that overlap holomorphically. They have deep and beautiful applications in many areas of mathematics. This book is an introduction to the concepts, techniques, and main results about complex manifolds (mainly compact ones), and it tells a story. Starting from familiarity with smooth manifolds and Riemannian geometry, it gradually explains what is different about complex manifolds and develops most of the main tools for working with them, using the Kodaira embedding theorem as a motivating project throughout.The approach and style will be familiar to readers of the author's previous graduate texts: new concepts are introduced gently, with as much intuition and motivation as possible, always relating new concepts to familiar old ones, with plenty of examples. The main prerequisite is familiarity with the basic results on topological, smooth, and Riemannian manifolds. The book is intended for graduate students and researchers in differential geometry, but it will also be appreciated by students of algebraic geometry who wish to understand the motivations, analogies, and analytic results that come from the world of differential geometry.
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Analysis
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Options Pricing and Portfolio Optimization
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Scrapbook of Complex Curve Theory
- Partial Differential Equations
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Algebra
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A Course on the Web Graph
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Global Analysis
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Applied Asymptotic Analysis
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Advanced Modern Algebra
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A Course in Operator Theory
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Representations of Finite and Compact Groups
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Classical and Quantum Computation
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Toric Varieties
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Introduction to Analytic and Probabilistic Number Theory
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Mathematical Methods in Quantum Mechanics
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Discovering Modern Set Theory, Part 1
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Differential Geometry, Lie Groups, and Symmetric Spaces
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Lectures on Elliptic and Parabolic Equations in Sobolev Spaces
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Riemann Surfaces by Way of Complex Analytic Geometry
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Advanced Modern Algebra, Parts 1 and 2
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Introduction to Quantum Groups and Crystal Bases
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Introduction to the H-Principle
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A Course in Differential Geometry
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Measure Theory and Integration
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Algebraic Number Fields
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Inequalities in Matrix Algebras
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Algebraic Curves and Riemann Surfaces
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$\textrm {C}^*$-Algebras and Finite-Dimensional Approximations
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The Calderon Problem
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Mathematical Foundations of Deep Learning Models and Algorithms
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Several Complex Variables with Connections to Algebraic Geometry and Lie Groups
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Function Theory of One Complex Variable
John M. Lee, University of Washington, Seattle, WA.
| SKU | Unavailable |
| ISBN 13 | 9781470476953 |
| ISBN 10 | 1470476959 |
| Title | Introduction to Complex Manifolds |
| Author | John M Lee |
| Series | Graduate Studies In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | American Mathematical Society |
| Year published | 2024-09-30 |
| Number of pages | 361 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |