Variational Method and Its Application - Pankaj Ph. D, JRF, GATE, B.ED M.Sc., Dr. R. D.
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The present book deals with two programs: one calculus of variations and one is Brackets. Calculation of variation is a major branch of analysis for a wide variety of problems in Mathematics and Mathematical Physics. It's a powerful technique for solving the problem of dynamics of rigid body, Optimization of orbits, Vibration Problem and Non-linear differential equation. Brackets are a powerful and sophisticated tool in Classical Mechanics particularly in Hamiltonian formalism. It is a way of characterization of Canonical Transformations by using an operation, known as brackets [Lagrange and…mehr

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Produktbeschreibung
The present book deals with two programs: one calculus of variations and one is Brackets. Calculation of variation is a major branch of analysis for a wide variety of problems in Mathematics and Mathematical Physics. It's a powerful technique for solving the problem of dynamics of rigid body, Optimization of orbits, Vibration Problem and Non-linear differential equation. Brackets are a powerful and sophisticated tool in Classical Mechanics particularly in Hamiltonian formalism. It is a way of characterization of Canonical Transformations by using an operation, known as brackets [Lagrange and Poisson bracket]. It is a powerful geometrical structure on the phase space. Basically, it is a mapping which maps two functions into a new function. Reformulation of classical mechanics is indeed possible in terms of brackets. It provides a direct link between classical and quantum mechanics. Generalized Coordinates, Lagrange equation of motion, Canonical Transformation and Geometrical equations are included. The Lagrangian for some of coupled non-linear partial differential equations are cited.
Autorenporträt
I am working as Assistant Professor in JNV Univ.,Jodhpur from July 26th, 2008. Our research teams are working in the field of Non - Linear wave modelling in different media. 30th Original Research Articles have been published in reputed journals and two scholars awarded the Ph. D degree under my supervision in different topics, one is running.