Selected Topics in Partial Differential Equations by Claude Zuily
This book presents a collection of topics in partial differential equations designed to serve as a bridge to research for Master's students.
Drawing on material originally developed for student projects, the selected topics require only standard prerequisites such as differential calculus, complex analysis, Fourier analysis, the Lebesgue integral, and some functional analysis. They span a broad range of problems in PDE, including Burgers’ equation, the wave equation, spectral theory of the Laplacian, and harmonic functions. The topics and their presentation are intended to help readers access the research literature.
Offering a diverse set of themes that highlights the richness of the field and opens the door to research, this book will be of interest to graduate students studying PDEs. With original material closely related to the author’s own research, it can also serve as a concise reference for researchers.
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Linear Functional Analysis
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An Introduction to Manifolds
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Riemannian Geometry
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Galois Theory
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Symbolic Dynamics
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Stochastic Calculus
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Geometry I
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Galois Cohomology and Class Field Theory
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Mathematical Gauge Theory
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Nonlinear Differential Equations and Dynamical Systems
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Mathematical Analysis I
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Differential Forms and Applications
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Introduction to Partial Differential Equations
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Geometry
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From Elementary Probability to Stochastic Differential Equations with MAPLE (R)
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Applied Stochastic Control of Jump Diffusions
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Probability Essentials
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Real Algebra
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Stochastic Differential Equations
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Elements of Functional Analysis
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The Essentials of Measure Theory
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On the Theory of Maass Wave Forms
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Potential Theory
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Fluctuations of Levy Processes with Applications
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Discrete Mathematics
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Automorphic Forms
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Matrix Theory
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Frontiers of Numerical Analysis
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Spectra of Graphs
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Polyhedral and Algebraic Methods in Computational Geometry
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Theory and Numerics of Differential Equations
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Dynamical Systems
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A Course on Tug-of-War Games with Random Noise
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Sphere Packings
Claude Zuily is an emeritus professor in mathematics at Paris-Saclay University specializing in linear and nonlinear partial differential equations (PDEs) including microlocal analysis. He is the author of several textbooks for mathematics students, both in French and in English.
| SKU | Unavailable |
| ISBN 13 | 9783032240811 |
| ISBN 10 | 3032240816 |
| Title | Selected Topics in Partial Differential Equations |
| Author | Claude Zuily |
| Series | Universitext |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Nature Switzerland AG |
| Year published | 2026-08-02 |
| Number of pages | 284 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |