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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 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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Products in Variational Methods | | |  | Dynamical Systems
by Shlomo Sternberg
A pioneer in the field of dynamical systems discusses one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials include PowerPoint slides and MATLAB exercises. 2010 edition.
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|  | 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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|  | Variational Principles and Free-Boundary Problems
by Avner Friedman
Advanced graduate-level text examines variational methods in partial differential equations and illustrates their applications to free-boundary problems. Features detailed statements of standard theory of elliptic and parabolic operators. 1982 edition.
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