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Characteristics of Distributed-Parameter Systems
This book is a continuation of the book Green's Functions and Transfer Functions [35] written some ten years ago. However, there is no overlap whatsoever in the contents of the two books, and this book can be used quite independently of the previous one. This series of books represents a new kind of handbook, in which are collected data on the characteristics of systems with distributed and lumped parameters. The present volume covers some two hundred problems. Essentially, this book should be considered as a desktop handbook, intended, like [35], to give rapid "on-line" access to relevant data about problems. For each problem, the book lists all the main characteristics of the solution: standardising functions, Green's functions, transfer functions or matrices, eigenfunctions and eigenvalues with their asymptotics, roots of characteristic equations, and other data. In addition to systems described by a single differential equation, this volume also includes degenerate multiconnected systems, systems for which no Green's function or matrix exists, and other special cases which are important for applications.
National Union Catalog
Includes entries for maps and atlases.
Subject Catalog
None
Membrane Digestion
None
Nonlinear Laser Spectroscopy
The laser as a source of coherent optical radiation has made it possible to investigate nonlinear interaction of optical radiation with atoms and mole cules. Its availability has given rise to new research fields, such as non linear optics, laser spectroscopy, laser photochemistry, that lie at the boundary between quantum electronics and physical optics, optical spectros copy and photochemistry, respectively. The use of coherent optical radiation in each of these fields has led to the discovery of qualitatively ne\~ effects and possibilities; in particular, some rather subtle effects of interaction between highly monochromatic light and atoms and molecules, in optical spec troscopy, have for...
Applied Mathematical Physics
Mathematical physics is the field of science that is concerned with the development of mathematical methods for applications to the problems in physics. Partial differential equations and the related areas of Fourier analysis, variational calculus and vector analysis are applied in the domains of celestial mechanics, thermodynamics, hydrodynamics, celestial mechanics, electricity, magnetism, etc. The special and general theories of relativity are built on the mathematical principles of group theory, topology and functional analysis. Statistical mechanics builds on Hamiltonian mechanics that is closely associated with mathematical ergodic theory and probability theory. This book outlines the applications of mathematical physics in detail. Some of the diverse topics covered herein address the varied branches that fall under this category. This book, with its detailed analyses and data, will prove immensely beneficial to professionals and students involved in this area at various levels.
