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Modern Methods in Partial Differential Equations

Modern Methods in Partial Differential Equations Author Martin Schechter
ISBN-10 9780486492964
Release 2014-01-15
Pages 256
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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.



Modern Methods in Partial Differential Equations

Modern Methods in Partial Differential Equations Author Martin Schechter
ISBN-10 9780486783079
Release 2013-12-10
Pages 256
Download Link Click Here

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.



Modern methods in partial differential equations

Modern methods in partial differential equations Author Martin Schechter
ISBN-10 UOM:39015015708335
Release 1977
Pages 245
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Modern methods in partial differential equations has been writing in one form or another for most of life. You can find so many inspiration from Modern methods in partial differential equations also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Modern methods in partial differential equations book for free.



Abstract Methods in Partial Differential Equations

Abstract Methods in Partial Differential Equations Author Robert W. Carroll
ISBN-10 9780486488356
Release 2012-05
Pages 374
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This self-contained text is directed to graduate students with some previous exposure to classical partial differential equations. Readers can attain a quick familiarity with various abstract points of view in partial differential equations, allowing them to read the literature and begin thesis work. The author's detailed presentation requires no prior knowledge of many mathematical subjects and illustrates the methods' applicability to the solution of interesting differential problems. The treatment emphasizes existence-uniqueness theory as a topic in functional analysis and examines abstract evolution equations and ordinary differential equations with operator coefficients. A concluding chapter on global analysis develops some basic geometrical ideas essential to index theory, overdetermined systems, and related areas. In addition to exercises for self-study, the text features a thorough bibliography. Appendixes cover topology and fixed-point theory in addition to Banach algebras, analytic functional calculus, fractional powers of operators, and interpolation theory.



Partial Differential Equations

Partial Differential Equations Author David Colton
ISBN-10 9780486138435
Release 2012-06-14
Pages 320
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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.



Partial Differential Equations

Partial Differential Equations Author Avner Friedman
ISBN-10 9780486151595
Release 2011-11-30
Pages 272
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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.



Hilbert Space Methods in Partial Differential Equations

Hilbert Space Methods in Partial Differential Equations Author Ralph E. Showalter
ISBN-10 9780486135793
Release 2011-09-12
Pages 224
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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.



Numerical Solution of Partial Differential Equations by the Finite Element Method

Numerical Solution of Partial Differential Equations by the Finite Element Method Author Claes Johnson
ISBN-10 9780486131597
Release 2012-05-23
Pages 288
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An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in non-technical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.



Numerical Methods for Partial Differential Equations

Numerical Methods for Partial Differential Equations Author G. Evans
ISBN-10 9781447103776
Release 2012-12-06
Pages 290
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The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but emerged in the 18th century as ordinary differential equations failed to describe the physical principles being studied. The subject was originally developed by the major names of mathematics, in particular, Leonard Euler and Joseph-Louis Lagrange who studied waves on strings; Daniel Bernoulli and Euler who considered potential theory, with later developments by Adrien-Marie Legendre and Pierre-Simon Laplace; and Joseph Fourier's famous work on series expansions for the heat equation. Many of the greatest advances in modern science have been based on discovering the underlying partial differential equation for the process in question. James Clerk Maxwell, for example, put electricity and magnetism into a unified theory by establishing Maxwell's equations for electromagnetic theory, which gave solutions for prob lems in radio wave propagation, the diffraction of light and X-ray developments. Schrodinger's equation for quantum mechanical processes at the atomic level leads to experimentally verifiable results which have changed the face of atomic physics and chemistry in the 20th century. In fluid mechanics, the Navier Stokes' equations form a basis for huge number-crunching activities associated with such widely disparate topics as weather forecasting and the design of supersonic aircraft. Inevitably the study of partial differential equations is a large undertaking, and falls into several areas of mathematics.



Basic Linear Partial Differential Equations

Basic Linear Partial Differential Equations Author Francois Treves
ISBN-10 9780486150987
Release 2013-01-18
Pages 496
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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.



Lectures on Partial Differential Equations

Lectures on Partial Differential Equations Author I. G. Petrovsky
ISBN-10 9780486155081
Release 2012-12-13
Pages 272
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Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.



Partial Differential Equations of Mathematical Physics and Integral Equations

Partial Differential Equations of Mathematical Physics and Integral Equations Author Ronald B. Guenther
ISBN-10 9780486137629
Release 2012-09-19
Pages 576
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Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more. 1988 edition.



Applied Partial Differential Equations

Applied Partial Differential Equations Author Paul DuChateau
ISBN-10 9780486141879
Release 2012-10-30
Pages 640
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DIVBook 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. /div



Introduction to Partial Differential Equations

Introduction to Partial Differential Equations Author Donald Greenspan
ISBN-10 9780486150932
Release 2012-05-04
Pages 204
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Designed for use in a 1-semester course by seniors and beginning graduate students, this rigorous presentation explores practical methods of solving differential equations, plus the unifying theory underlying the mathematical superstructure. Topics include basic concepts, Fourier series, 2nd-order partial differential equations, wave equation, potential equation, heat equation, and more. Includes exercises. 1961 edition.



Introduction to Partial Differential Equations with Applications

Introduction to Partial Differential Equations with Applications Author E. C. Zachmanoglou
ISBN-10 9780486132174
Release 2012-04-20
Pages 432
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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.



Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics Author S. L. Sobolev
ISBN-10 048665964X
Release 1964
Pages 427
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This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.



Elements of Partial Differential Equations

Elements of Partial Differential Equations Author Ian N. Sneddon
ISBN-10 9780486452975
Release 2006-08
Pages 327
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Geared toward students of applied rather than pure mathematics, this volume introduces elements of partial differential equations. Its focus is primarily upon finding solutions to particular equations rather than general theory. Topics include ordinary differential equations in more than two variables, partial differential equations of the first and second orders, Laplace's equation, the wave equation, and the diffusion equation. A helpful Appendix offers information on systems of surfaces, and solutions to the odd-numbered problems appear at the end of the book. Readers pursuing independent study will particularly appreciate the worked examples that appear throughout the text.