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Partial Differential Equations I

2010-10-29 Mathematics
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Release : 2010-10-29
Genre : Mathematics
Kind : eBook
Book Rating : 55X/5 ( reviews)

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Book Synopsis Partial Differential Equations I by : Michael E. Taylor

Download or read book Partial Differential Equations I written by Michael E. Taylor. This book was released on 2010-10-29. 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.

Partial Differential Equations

2007-12-21 Mathematics
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Release : 2007-12-21
Genre : Mathematics
Kind : eBook
Book Rating : 565/5 ( reviews)

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Book Synopsis Partial Differential Equations by : Walter A. Strauss

Download or read book Partial Differential Equations written by Walter A. Strauss. This book was released on 2007-12-21. 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.

Basic Partial Differential Equations

2018-01-18 Mathematics
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Release : 2018-01-18
Genre : Mathematics
Kind : eBook
Book Rating : 987/5 ( reviews)

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Book Synopsis Basic Partial Differential Equations by : David. Bleecker

Download or read book Basic Partial Differential Equations written by David. Bleecker. This book was released on 2018-01-18. 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.

Lectures on Partial Differential Equations

2012-12-13 Mathematics
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Release : 2012-12-13
Genre : Mathematics
Kind : eBook
Book Rating : 080/5 ( reviews)

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Book Synopsis Lectures on Partial Differential Equations by : I. G. Petrovsky

Download or read book Lectures on Partial Differential Equations written by I. G. Petrovsky. This book was released on 2012-12-13. 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.

Introduction to Partial Differential Equations with Applications

2012-04-20 Mathematics
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Release : 2012-04-20
Genre : Mathematics
Kind : eBook
Book Rating : 17X/5 ( reviews)

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Book Synopsis Introduction to Partial Differential Equations with Applications by : E. C. Zachmanoglou

Download or read book Introduction to Partial Differential Equations with Applications written by E. C. Zachmanoglou. This book was released on 2012-04-20. Available in PDF, EPUB and Kindle. Book excerpt: 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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