Linear Integral Equations by Rainer Kress
Normed Spaces.- Bounded and Compact Operators.- Riesz Theory.- Dual Systems and Fredholm Alternative.- Regularization in Dual Systems.- Potential Theory.- Singular Integral Equations.- Sobolev Spaces.- The Heat Equation.- Operator Approximations .-Degenerate Kernel Approximation.- Quadrature Methods.- Projection Methods.- Iterative Solution and Stability.- Equations of the First Kind.- Tikhonov Regularization.- Regularization by Discretization.- Inverse Boundary Value Problems.- References.- Index.-
A Practical Guide to Splines
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Fractional Differential Equations
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Partial Differential Equations II
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Elliptic Functions and Applications
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Dynamics: Numerical Explorations
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Averaging for Nonlinear Dynamics with Applications and Numerical Bifurcations
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Direct and Inverse Scattering for the Matrix Schrodinger Equation
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Imperfect Bifurcation in Structures and Materials
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Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems
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Exact and Heuristic Methods in Combinatorial Optimization
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Optimal Control of Partial Differential Equations
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Applications of Percolation Theory
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Falling Liquid Films
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Nonlinear Filtering and Optimal Phase Tracking
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Mathematical Problems in Image Processing
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Fluid Dynamics of Viscoelastic Liquids
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An Introduction to Theory and Applications of Stationary Variational-Hemivariational Inequalities
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The Geometry of Minkowski Spacetime
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Lectures on Variational Analysis
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Level Set Methods and Dynamic Implicit Surfaces
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Brownian Dynamics at Boundaries and Interfaces
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Adaptive Moving Mesh Methods
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Nonlinear Functional Analysis with Applications to Combustion Theory
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Dynamical Systems and Chaos
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Bifurcation Theory
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Nonlinear Dispersive Equations
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Infinite-Dimensional Dynamical Systems in Mechanics and Physics
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Transient Chaos
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Chaos, Fractals, and Noise
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Mathematical Problems from Combustion Theory
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Singularities and Groups in Bifurcation Theory
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Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles
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Applied Functional Analysis
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Robust Control Theory in Hilbert Space
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Invariant Manifolds and Fibrations for Perturbed Nonlinear Schroedinger Equations
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Normally Hyperbolic Invariant Manifolds in Dynamical Systems
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Prandtl-Essentials of Fluid Mechanics
“The book contains 18 well presented chapters with an extensive list of 249 references… It also contains almost all the topics necessary for a student. The presentation of the subject matter is lucid, clear, and in the proper modern framework. … It is recommended for study to students, teachers, and all others who are interested in the development of this useful, and live area of mathematics.” (K. C. Gupta, zbMATH 1328.45001, 2016)
“The book being reviewed is the third edition of a well received one on integral equations which combines theory, applications and also numerical methods. … the book is more suitable for graduate students. The writing is lucid and clear, and the presentation is excellent. … the book should appeal not just to mathematicians, but also to scientists and engineers who wish to learn the theory of integral equations, the methods used to solve them, and their applications.” (Peter Shiu, The Mathematical Gazette, Vol. 99 (544), March, 2015)
| SKU | Unavailable |
| ISBN 13 | 9781461495925 |
| ISBN 10 | 146149592X |
| Title | Linear Integral Equations |
| Author | Rainer Kress |
| Series | Applied Mathematical Sciences |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2013-12-06 |
| Number of pages | 412 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |