



Problems on Partial Differential Equations (Problem Books in Mathematics)
This book covers a diverse range of topics in Mathematical Physics, linear and nonlinear PDEs. Though the text reflects the classical theory, the main emphasis is on introducing readers to the latest developments based on the notions of weak solutions and Sobolev spaces.
In numerous problems, the student is asked to...   Introduction to Symplectic Geometry
This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds. It consists of six chapters: Some Algebra Basics, Symplectic Manifolds, Cotangent Bundles, Symplectic Gspaces, Poisson Manifolds, and A Graded Case, concluding with a discussion of the...   


Introduction to Hilbert Spaces with ApplicationsThe Second Edition if this successful text offers a systematic exposition of the basic ideas and results of Hilbert space theory and functional analysis. It includes a simple introduction to the Lebesgue integral and a new chapter on wavelets. The book provides the reader with revised examples and updated diverse applications to differential and...     Mathematical Modelling, Optimization, Analytic and Numerical Solutions (Industrial and Applied Mathematics)
This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of realworld problems, computational linguistics, mathematical models and methods for meteorology, earth systems,... 

Ordinary Differential EquationsSkillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton’s Interpolation Formulas,...   Curves and SingularitiesThe object of this book is to introduce to a new generation of students an area of mathematics that has received a tremendous impetus during the last twenty years or so from developments in singularity theory.
The differential geometry of curves, families of curves and surfaces in Euclidean space has fascinated mathematicians and users...   


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