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By Subject > Science and Mathematics > Mathematics > Variational Methods
Recommendations...
Splines and Variational Methods by P. M. Prenter This introductory treatment explains the application of theoretic notions to physical problems that engineers regularly encounter. Only a minimal background in linear algebra and analysis is required. 1975 edition.
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|  | Gauge Theory and Variational Principles by David Bleecker Covers principal fiber bundles and connections; curvature; particle fields, Lagrangians, and gauge invariance; inhomogeneous field equations; free Dirac electron fields; calculus on frame bundle; and unification of gauge fields and gravitation. 1981 edition
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Variational Methods in Optimization by Donald R. Smith Highly readable text elucidates applications of the chain rule of differentiation, integration by parts, parametric curves, line integrals, double integrals, and elementary differential equations. 1974 edition.
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Variational Principles by B. L. Moiseiwitsch This text shows how variational principles are used to determine the discrete eigenvalues for stationary state problems and to illustrate how to find the values of quantities that arise in the theory of scattering. 1966 edition.
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Approximation of Elliptic Boundary-Value Problems by Jean-Pierre Aubin A marriage of the finite-differences method with variational methods for solving boundary-value problems, this self-contained text for advanced undergraduates and graduate students is intended to imbed this combination of methods into the framework of functional analysis.
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| Products in Variational Methods |  |  |  | Methods of the Theory of Functions of Many Complex Variables by Vasiliy Sergeyevich Vladimirov This systematic exposition outlines fundamentals of the theory of single sheeted holomorphic domains and illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients. 1966 edition.
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|  | Splines and Variational Methods by P. M. Prenter This introductory treatment explains the application of theoretic notions to physical problems that engineers regularly encounter. Only a minimal background in linear algebra and analysis is required. 1975 edition.
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|  | Variational Analysis: Critical Extremals and Sturmian Extensions by Marston Morse This text presents extended separation, comparison, and oscillation theorems that replace classical analysis. Its analysis of related quadratic functionals shows how critical extremals can substitute for minimizing extremals. 1973 edition.
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| |  | Variational Principles by B. L. Moiseiwitsch This text shows how variational principles are used to determine the discrete eigenvalues for stationary state problems and to illustrate how to find the values of quantities that arise in the theory of scattering. 1966 edition.
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