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Dimensional analysis offers a method for reducing complex physical problems to the simplest (that is, most economical) form prior to obtaining a quantitative answer.
Determine whether an equation involving physical quantities is dimensionally consistent. The dimension of any physical quantity expresses its dependence on the base quantities as a product of symbols (or powers of symbols) representing the base quantities.
This introduction to dimensional analysis covers the methods, history and formalisation of the field, and provides physics and engineering applications.
This book provides an introduction to dimensional analysis for students in physics, engineering, and mathematics. It covers the methods, history, and applications of dimensional analysis, including examples from mechanics, hydrodynamics, thermodynamics, electromagnetism, plasma physics, and quantum physics.
This introduction to dimensional analysis covers the methods, history and formalisation of the field, and provides physics and engineering applications. Covering topics from mechanics, hydro- and electrodynamics to thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis.
over the wall – that is the purpose of this book. Dimensions are one of the useful ideas from a foreign land. This chapter in-troduces the method of dimensions – more formally known as dimensional analysis. The rst example analyzes a awed argument that is frequent in the media. Succeeding examples apply the method to derivatives and inte-grals.
Provides ample and detailed examples of how dimensional analysis is applied to solve problems in various branches of mechanics. Adopts the approach that begins by separating the dependent variables from the independent variables on the basis of a physical analysis of the problem.
