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| Author | : François Treves |
| Publisher | : Academic Press |
| Total Pages | : 493 |
| Release | : 1975-08-08 |
| Genre | : Mathematics |
| ISBN | : 0080880258 |
Basic Linear Partial Differential Equations
| Author | : Francois Treves |
| Publisher | : Courier Corporation |
| Total Pages | : 498 |
| Release | : 2006-11-17 |
| Genre | : Mathematics |
| ISBN | : 0486453464 |
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.
| Author | : Tyn Myint-U |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 790 |
| Release | : 2007-04-05 |
| Genre | : Mathematics |
| ISBN | : 0817645608 |
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.
| Author | : Michael E. Taylor |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 673 |
| Release | : 2010-10-29 |
| Genre | : Mathematics |
| ISBN | : 144197055X |
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 | : David. Bleecker |
| Publisher | : CRC Press |
| Total Pages | : 1010 |
| Release | : 2018-01-18 |
| Genre | : Mathematics |
| ISBN | : 1351086987 |
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 | : J. Chazarain |
| Publisher | : Elsevier |
| Total Pages | : 558 |
| Release | : 2011-08-18 |
| Genre | : Computers |
| ISBN | : 9780080875354 |
Introduction to the Theory of Linear Partial Differential Equations
| Author | : Grigoriĭ Ilʹich Eskin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 432 |
| Release | : 2011 |
| Genre | : Mathematics |
| ISBN | : 0821852841 |
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.
| Author | : |
| Publisher | : |
| Total Pages | : |
| Release | : |
| Genre | : Differential equations, Linear |
| ISBN | : |
| Author | : Andrei D. Polyanin |
| Publisher | : CRC Press |
| Total Pages | : 800 |
| Release | : 2001-11-28 |
| Genre | : Mathematics |
| ISBN | : 1420035320 |
Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering. Parabolic, hyperbolic, and elliptic equations with
| Author | : Marcus Pivato |
| Publisher | : Cambridge University Press |
| Total Pages | : 631 |
| Release | : 2010-01-07 |
| Genre | : Mathematics |
| ISBN | : 0521199700 |
This highly visual introductory textbook provides a rigorous mathematical foundation for all solution methods and reinforces ties to physical motivation.
