Basic Linear Partial Differential Equations
Author: François Treves
Publisher: Academic Press
Published: 1975-08-08
Total Pages: 493
ISBN-13: 0080880258
DOWNLOAD EBOOK →Basic Linear Partial Differential Equations
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Basic Linear Partial Differential Equations
Author: Francois Treves
Publisher: Courier Corporation
Published: 2006-11-17
Total Pages: 498
ISBN-13: 0486453464
DOWNLOAD EBOOK →Focusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students features most of the basic classical results. The methods, however, are decidedly nontraditional: in practically every instance, they tend toward a high level of abstraction. This approach recalls classical material to contemporary analysts in a language they can understand, as well as exploiting the field's wealth of examples as an introduction to modern theories. The four-part treatment covers the basic examples of linear partial differential equations and their fundamental solutions; the Cauchy problem; boundary value problems; and mixed problems and evolution equations. Nearly 400 exercises appear throughout the text, several containing detailed information that enables readers to reconstruct the proofs.
Linear Partial Differential Equations for Scientists and Engineers
Author: Tyn Myint-U
Publisher: Springer Science & Business Media
Published: 2007-04-05
Total Pages: 790
ISBN-13: 0817645608
DOWNLOAD EBOOK →This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books. It also contains a large number of worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry; solutions are provided.
Basic Partial Differential Equations
Author: David. Bleecker
Publisher: CRC Press
Published: 2018-01-18
Total Pages: 1010
ISBN-13: 1351086987
DOWNLOAD EBOOK →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.
Partial Differential Equations I
Author: Michael E. Taylor
Publisher: Springer Science & Business Media
Published: 2010-10-29
Total Pages: 673
ISBN-13: 144197055X
DOWNLOAD EBOOK →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.
Lectures on Linear Partial Differential Equations
Author: Grigoriĭ Ilʹich Eskin
Publisher: American Mathematical Soc.
Published: 2011
Total Pages: 432
ISBN-13: 0821852841
DOWNLOAD EBOOK →This is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present complete proofs in an accessible and self-contained form. The first three chapters are on elementary distribution theory and Sobolev spaces. The following chapters study the Cauchy problem for parabolic and hyperbolic equations, boundary value problems for elliptic equations, heat trace asymptotics, and scattering theory.
Introduction to the Theory of Linear Partial Differential Equations
Author: J. Chazarain
Publisher: Elsevier
Published: 2011-08-18
Total Pages: 558
ISBN-13: 9780080875354
DOWNLOAD EBOOK →Introduction to the Theory of Linear Partial Differential Equations
Basic linear partial differential equations
Linear Partial Differential Equations and Fourier Theory
Author: Marcus Pivato
Publisher: Cambridge University Press
Published: 2010-01-07
Total Pages: 631
ISBN-13: 0521199700
DOWNLOAD EBOOK →This highly visual introductory textbook provides a rigorous mathematical foundation for all solution methods and reinforces ties to physical motivation.
A Basic Course in Partial Differential Equations
Author: Qing Han
Publisher: American Mathematical Soc.
Published: 2011
Total Pages: 305
ISBN-13: 0821852558
DOWNLOAD EBOOK →This is a textbook for an introductory graduate course on partial differential equations. Han focuses on linear equations of first and second order. An important feature of his treatment is that the majority of the techniques are applicable more generally. In particular, Han emphasizes a priori estimates throughout the text, even for those equations that can be solved explicitly. Such estimates are indispensable tools for proving the existence and uniqueness of solutions to PDEs, being especially important for nonlinear equations. The estimates are also crucial to establishing properties of the solutions, such as the continuous dependence on parameters. Han's book is suitable for students interested in the mathematical theory of partial differential equations, either as an overview of the subject or as an introduction leading to further study.
