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Hilbert Space Methods In Partial Differential Equations

Author: Ralph E. Showalter
Publisher: Courier Corporation
ISBN: 0486135799
Size: 22.41 MB
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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.

Applied Analysis By The Hilbert Space Method

Author: Samuel S. Holland
Publisher: Courier Corporation
ISBN: 0486139298
Size: 66.56 MB
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Numerous worked examples and exercises highlight this unified treatment. Simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. 1990 edition.

Modern Methods In Partial Differential Equations

Author: Martin Schechter
Publisher: Courier Corporation
ISBN: 0486492966
Size: 46.61 MB
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When first published in 1977, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Now it remains a permanent, much-cited contribution to the ever-expanding literature.

Introduction To Hilbert Space And The Theory Of Spectral Multiplicity

Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 048682683X
Size: 65.15 MB
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Concise introductory treatment consists of three chapters: The Geometry of Hilbert Space, The Algebra of Operators, and The Analysis of Spectral Measures. A background in measure theory is the sole prerequisite. 1957 edition.

An Introduction To The Mathematical Theory Of Finite Elements

Author: J. T. Oden
Publisher: Courier Corporation
ISBN: 0486142213
Size: 65.60 MB
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This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.

Mathematical Logic

Author: Stephen Cole Kleene
Publisher: Courier Corporation
ISBN: 0486317072
Size: 38.41 MB
Format: PDF, Kindle
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Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

Partial Differential Equations

Author: Avner Friedman
Publisher: Courier Corporation
ISBN: 0486469190
Size: 77.64 MB
Format: PDF, Mobi
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This three-part treatment of partial differential equations focuses on elliptic and evolution equations. Largely self-contained, it concludes with a series of independent topics directly related to the methods and results of the preceding sections that helps introduce readers to advanced topics for further study. Geared toward graduate and postgraduate students of mathematics, this volume also constitutes a valuable reference for mathematicians and mathematical theorists. Starting with the theory of elliptic equations and the solution of the Dirichlet problem, the text develops the theory of weak derivatives, proves various inequalities and imbedding problems, and derives smoothness theorems. Part Two concerns evolution equations in Banach space and develops the theory of semigroups. It solves the initial-boundary value problem for parabolic equations and covers backward uniqueness, asymptotic behavior, and lower bounds at infinity. The final section includes independent topics directly related to the methods and results of the previous material, including the analyticity of solutions of elliptic and parabolic equations, asymptotic behavior of solutions of elliptic equations near infinity, and problems in the theory of control in Banach space.

An Introduction To The Theory Of Elasticity

Author: R. J. Atkin
Publisher: Courier Corporation
ISBN: 0486150992
Size: 60.36 MB
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Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.

Physics Of Fully Ionized Gases

Author: Lyman Spitzer
Publisher: Courier Corporation
ISBN: 0486151581
Size: 63.98 MB
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An introductory course in theoretical physics is the sole prerequisite for this general but simple introduction to the fields of plasma and fusion research. 1962 edition.