Books in the Monographs and Surveys in Pure and Applied Mathematics series

Part of the "Pitman Monographs in Pure and Applied Mathematics" series, this text presents various problems of partial differential equations. It covers elliptic systems degenerated at the boundary, overdetermined boundary value problems and initial boundary value problems.

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. This title builds the background to understand this circle of ideas and reports on developments in this field of research. It introduces infinite dimensional Lie theory, emphasising on the relationship between Lie groups and Lie algebras.

Progress in the field of SCQM (supersymmetric classical and quantum mechanics) has been dramatic and the literature continues to grow. This monograph offers an overview of the field and summarizes the major developments over the years. It provides both a review of the literature and an exposition of the underlying SCQM principles.

Inverse boundary problems are an area of applied mathematics with applications throughout physics and the engineering sciences. This book considers the following: Can the unknown coefficients of an elliptic partial differential equation be determined from the eigen values and the boundary values of the eigen functions?

Hamiltonian fluid dynamics and stability theory work hand-in-hand in a variety of engineering, physics, and physical science fields. This book offers an introduction to Hamiltonian fluid dynamics and describes aspects of hydrodynamic stability theory within the context of the Hamiltonian formalism.

A monograph that examines a variety of phenomena in which interfaces play a crucial role. It studies developments related to the Marangoni effect, including patterned convection and instabilities, oscillatory/wavy phenomena, and turbulent phenomena.

Surveys investigations of Banach-space isometries. This volume emphasizes the characterization of isometries and focuses on establishing the type of explicit, canonical form in a variety of settings. It describes the isometries on classical function spaces. It explores isometries on Banach algebras.

Presents the theoretical framework for developing methods that allow the treatment of a variety of discontinuous initial and boundary value problems for both ordinary and partial differential equations, in explicit and implicit forms. This work is suitable for researchers in engineering as well as advanced students in these fields.

Examines periodic solutions of impulsive differential equations. Periodic linear impulsive differential equations, the use of the small parameter method in noncritical and critical cases, and the existence of periodic solutions of nonlinear differential equations are discussed.