Modern Methods in Complex Analysis

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Analytic function
Analytic manifold
Asymptotic expansion
Automorphic form
Boundary value problem
Calculation
Category=PBKD
Category=PBKJ
Category=PBMW
Cauchy-Riemann equations
Codimension
Cohomology
Commutative property
Commutator
Compactification (mathematics)
Complex analysis
Complex dimension
Complex manifold
Complex number
Complex-analytic variety
Complexification
Computation
Conceptual framework
Contact geometry
Curvature
Decision-making
Degenerate bilinear form
Determinant
Differential geometry
Dimension
Eigenvalues and eigenvectors
Elaboration
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Estimation
Existential quantification
Explanation
First Moroccan Crisis
Formal power series
Gauss-Bonnet theorem
Hodge theory
Holomorphic function
Hypothesis
Inference
Instance (computer science)
Integer
Isomorphism class
Jacobian variety
Julia set
Lagrangian (field theory)
Mathematician
Measurement
Modular form
Oxford University Press
Polynomial
Potential theory
Prediction
Projection (linear algebra)
Pseudogroup
Quadratic form
Quantity
Quantum field theory
Rational number
Riemann hypothesis
Riemann surface
Scientific notation
Scientist
Symplectic geometry
Theorem
Theory
Topology
Trade-off
Vector field
World war
World War II

Product details

  • ISBN 9780691044286
  • Weight: 482g
  • Dimensions: 197 x 254mm
  • Publication Date: 03 Dec 1995
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Paperback
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The fifteen articles composing this volume focus on recent developments in complex analysis. Written by well-known researchers in complex analysis and related fields, they cover a wide spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. The topics include invariants of manifolds, the complex Neumann problem, complex dynamics, Ricci flows, the Abel-Radon transforms, the action of the Ricci curvature operator, locally symmetric manifolds, the maximum principle, very ampleness criterion, integrability of elliptic systems, and contact geometry. Among the contributions are survey articles, which are especially suitable for readers looking for a comprehensive, well-presented introduction to the most recent important developments in the field. The contributors are R. Bott, M. Christ, J. P. D'Angelo, P. Eyssidieux, C. Fefferman, J. E. Fornaess, H. Grauert, R. S. Hamilton, G. M. Henkin, N. Mok, A. M. Nadel, L. Nirenberg, N. Sibony, Y.-T. Siu, F. Treves, and S. M. Webster.
Thomas Bloom is Professor of Mathematics at the University of Toronto. David W. Catlin is Professor of Mathematics at Purdue University. John P. D'Angelo is Professor of Mathematics at the University of Illinois, Urbana. Yum-Tong Siu is William Elwood Byerly Professor of Mathematics at Harvard University.