 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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| |  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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 Tensors, Differential Forms, and Variational Principles
by David Lovelock, Hanno Rund
Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.
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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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 Partial Differential Equations for Scientists and Engineers
by Stanley J. Farlow
Practical text shows how to formulate and solve partial differential equations. Coverage includes diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Solution guide available upon request. 1982 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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 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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| |  Applied Partial Differential Equations
by Paul DuChateau, David Zachmann
Book focuses mainly on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included.
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 Basic Linear Partial Differential Equations
by Francois Treves
Focusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students employs nontraditional methods to explain classical material. Nearly 400 exercises. 1975 edition.
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| |  Generalized Functions and Partial Differential Equations
by Avner Friedman
This self-contained text details developments in the theory of generalized functions and the theory of distributions, and it systematically applies them to a variety of problems in partial differential equations. 1963 edition.
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 Hilbert Space Methods in Partial Differential Equations
by Ralph E. Showalter
This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.
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| |  Introduction to Partial Differential Equations with Applications
by E. C. Zachmanoglou, Dale W. Thoe
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
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| |  Partial Differential Equations: Sources and Solutions
by Arthur David Snider
This newly updated text explores the solution of partial differential equations by separating variables, reviewing the tools for the technique, and examining the algorithmic nature of the process. 1999 edition.
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 Partial Differential Equations
by Avner Friedman
Largely self-contained, this three-part treatment focuses on elliptic and evolution equations, concluding with a series of independent topics directly related to the methods and results of the preceding sections. 1969 edition.
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| |  Partial Differential Equations: An Introduction
by David Colton
This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Features coverage of integral equations and basic scattering theory. Includes exercises, many with answers. 1988 edition.
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| |  Partial Differential Equations of Parabolic Type
by Avner Friedman
With this book, even readers unfamiliar with the field can acquire sufficient background to understand research literature related to the theory of parabolic and elliptic equations. 1964 edition.
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