Partial Differential Equations I

Author : Michael E. Taylor
Publisher : Springer Science & Business Media
ISBN 13 : 144197055X
Total Pages : 673 pages
Book Rating : 4.58/5 ( download)

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Download or read book Partial Differential Equations I written by Michael E. Taylor and published by Springer Science & Business Media. This book was released on 2010-10-29 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : S. L. Sobolev
Publisher : Courier Corporation
ISBN 13 : 9780486659640
Total Pages : 452 pages
Book Rating : 4.4X/5 ( download)

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Download or read book Partial Differential Equations of Mathematical Physics written by S. L. Sobolev and published by Courier Corporation. This book was released on 1964-01-01 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Walter A. Strauss
Publisher : John Wiley & Sons
ISBN 13 : 0470054565
Total Pages : 467 pages
Book Rating : 4.67/5 ( download)

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Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : I. G. Petrovsky
Publisher : Courier Corporation
ISBN 13 : 0486155080
Total Pages : 261 pages
Book Rating : 4.81/5 ( download)

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Download or read book Lectures on Partial Differential Equations written by I. G. Petrovsky and published by Courier Corporation. This book was released on 2012-12-13 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : David. Bleecker
Publisher : CRC Press
ISBN 13 : 1351086987
Total Pages : 1010 pages
Book Rating : 4.81/5 ( download)

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Download or read book Basic Partial Differential Equations written by David. Bleecker and published by CRC Press. This book was released on 2018-01-18 with total page 1010 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained source. The reader will learn how to use PDEs to predict system behaviour from an initial state of the system and from external influences, and enhance the success of endeavours involving reasonably smooth, predictable changes of measurable quantities. This text enables the reader to not only find solutions of many PDEs, but also to interpret and use these solutions. It offers 6000 exercises ranging from routine to challenging. The palatable, motivated proofs enhance understanding and retention of the material. Topics not usually found in books at this level include but examined in this text: the application of linear and nonlinear first-order PDEs to the evolution of population densities and to traffic shocks convergence of numerical solutions of PDEs and implementation on a computer convergence of Laplace series on spheres quantum mechanics of the hydrogen atom solving PDEs on manifolds The text requires some knowledge of calculus but none on differential equations or linear algebra.

Author : Jürgen Jost
Publisher : Springer Science & Business Media
ISBN 13 : 1461448093
Total Pages : 416 pages
Book Rating : 4.99/5 ( download)

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Download or read book Partial Differential Equations written by Jürgen Jost and published by Springer Science & Business Media. This book was released on 2012-11-13 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Peter Markowich
Publisher : Springer Science & Business Media
ISBN 13 : 3540346465
Total Pages : 210 pages
Book Rating : 4.63/5 ( download)

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Download or read book Applied Partial Differential Equations: written by Peter Markowich and published by Springer Science & Business Media. This book was released on 2007-08-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents topics of science and engineering which occur in nature or are part of daily life. It describes phenomena which are modelled by partial differential equations, relating to physical variables like mass, velocity and energy, etc. to their spatial and temporal variations. The author has chosen topics representing his career-long interests, including the flow of fluids and gases, granular flows, biological processes like pattern formation on animal skins, kinetics of rarified gases and semiconductor devices. Each topic is presented in its scientific or engineering context, followed by an introduction of applicable mathematical models in the form of partial differential equations.

Author : David Colton
Publisher : Courier Corporation
ISBN 13 : 0486138437
Total Pages : 322 pages
Book Rating : 4.35/5 ( download)

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Download or read book Partial Differential Equations written by David Colton and published by Courier Corporation. This book was released on 2012-06-14 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : François Treves
Publisher : Academic Press
ISBN 13 : 0080880258
Total Pages : 493 pages
Book Rating : 4.59/5 ( download)

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Download or read book Basic Linear Partial Differential Equations written by François Treves and published by Academic Press. This book was released on 1975-08-08 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Linear Partial Differential Equations

Author : William O. Bray
Publisher : Jones & Bartlett Publishers
ISBN 13 : 0763772569
Total Pages : 334 pages
Book Rating : 4.67/5 ( download)

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Download or read book A Journey Into Partial Differential Equations written by William O. Bray and published by Jones & Bartlett Publishers. This book was released on 2012 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the International Series in Mathematics Ideal for the 1-term course, A Journey into Partial Differential Equations provides a solid introduction to PDEs for the undergraduate math, engineering, or physics student. Discussing underlying physics, concepts and methodologies, the text focuses on the classical trinity of equations: the wave equation, heat/diffusion equation, and Laplace's equation. Bray provides careful treatment of the separation of variables and the Fourier method, motivated by the geometrical notion of symmetries and places emphasis on both the qualitative and quantitative methods, as well as geometrical perspectives. With hundred of exercises and a wealth of figures, A Journey into Partial Differential Equations proves to be the model book for the PDE course.