Many problems in mathematical physics rely heavily on the use of elliptical partial differential equations, and boundary integral methods play a significant role in solving these equations.Ã¿Stationary Oscillations of Elastic Plates studies the latter in the context ofÃ¿stationaryÃ¿vibrations of thin elastic plates. The techniquesÃ¿presented hereÃ¿reduce the complexity of classicalÃ¿ elasticity to a system of two independent variables, modeling problemsÃ¿of flexural-vibrational elastic body deformation with the aid of eigenfrequencies and simplifying them to manageable, uniquely solvable integral equations.
The book isÃ¿intended forÃ¿an audienceÃ¿with a knowledge of advanced calculus and some familiarity with functional analysis. It is a valuable resource for professionals in pure and applied mathematics,Ã¿and for theoretical physicists and mechanical engineersÃ¿whose work involvesÃ¿elastic plates. Graduate students in these fieldsÃ¿can also benefit from the monograph as a supplementary text for courses relating to theories of elasticity or flexural vibrations.
This book constitutes a supplement to the 1926 account of Alfred Marshall's Official Papers edited by John Maynard Keynes. The book presents material which Keynes did not include, editorial notes and introductions to the various pieces. It focuses on the advice that Marshall, a founding father of modern economics, offered to the British government in the late nineteenth century. The topics covered include education, the role of women, trade unions, unemployment, public enterprise, the quantity theory of money, inflation and trade, benefits of free trade and dangers of protection. The material offers valuable insights into policy thinking at the time, much of which has a surprising degree of relevance to pressing policy issues during our own time. The contents facilitates understanding this doyen of British economics and founder of the Cambridge School of Economics.
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