Partial Differential Equations I
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Partial Differential Equations
Author | : Walter A. Strauss |
Publsiher | : John Wiley & Sons |
Total Pages | : 467 |
Release | : 2007-12-21 |
Genre | : Mathematics |
ISBN | : 9780470054567 |
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Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Partial Differential Equations
Author | : Jürgen Jost |
Publsiher | : Springer Science & Business Media |
Total Pages | : 416 |
Release | : 2012-11-13 |
Genre | : Mathematics |
ISBN | : 9781461448099 |
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This book offers an ideal graduate-level introduction to the theory of partial differential equations. The first part of the book describes the basic mathematical problems and structures associated with elliptic, parabolic, and hyperbolic partial differential equations, and explores the connections between these fundamental types. Aspects of Brownian motion or pattern formation processes are also presented. The second part focuses on existence schemes and develops estimates for solutions of elliptic equations, such as Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. In particular, the reader will learn the basic techniques underlying current research in elliptic partial differential equations. This revised and expanded third edition is enhanced with many additional examples that will help motivate the reader. New features include a reorganized and extended chapter on hyperbolic equations, as well as a new chapter on the relations between different types of partial differential equations, including first-order hyperbolic systems, Langevin and Fokker-Planck equations, viscosity solutions for elliptic PDEs, and much more. Also, the new edition contains additional material on systems of elliptic partial differential equations, and it explains in more detail how the Harnack inequality can be used for the regularity of solutions.
Partial Differential Equations I
Author | : Michael E. Taylor |
Publsiher | : Springer Science & Business Media |
Total Pages | : 673 |
Release | : 2010-10-29 |
Genre | : Mathematics |
ISBN | : 9781441970558 |
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The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations.The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.
Partial Differential Equations for Scientists and Engineers
Author | : Stanley J. Farlow |
Publsiher | : Courier Corporation |
Total Pages | : 414 |
Release | : 2012-03-08 |
Genre | : Mathematics |
ISBN | : 9780486134734 |
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Practical text shows how to formulate and solve partial differential equations. Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, numerical and approximate methods. Solution guide available upon request. 1982 edition.
Partial Differential Equations
Author | : David Colton |
Publsiher | : Courier Corporation |
Total Pages | : 322 |
Release | : 2012-06-14 |
Genre | : Mathematics |
ISBN | : 9780486138435 |
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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.
Analytic Methods for Partial Differential Equations
Author | : G. Evans,J. Blackledge,P. Yardley |
Publsiher | : Springer Science & Business Media |
Total Pages | : 308 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781447103790 |
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This is the practical introduction to the analytical approach taken in Volume 2. Based upon courses in partial differential equations over the last two decades, the text covers the classic canonical equations, with the method of separation of variables introduced at an early stage. The characteristic method for first order equations acts as an introduction to the classification of second order quasi-linear problems by characteristics. Attention then moves to different co-ordinate systems, primarily those with cylindrical or spherical symmetry. Hence a discussion of special functions arises quite naturally, and in each case the major properties are derived. The next section deals with the use of integral transforms and extensive methods for inverting them, and concludes with links to the use of Fourier series.
Lectures on Partial Differential Equations
Author | : I. G. Petrovsky |
Publsiher | : Courier Corporation |
Total Pages | : 261 |
Release | : 2012-12-13 |
Genre | : Mathematics |
ISBN | : 9780486155081 |
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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
Author | : R. M. M. Mattheij,S. W. Rienstra,J. H. M. ten Thije Boonkkamp |
Publsiher | : SIAM |
Total Pages | : 689 |
Release | : 2005-01-01 |
Genre | : Mathematics |
ISBN | : 9780898715941 |
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Textbook with a unique approach that integrates analysis and numerical methods and includes modelling to address real-life problems.