• формат pdf
  • размер 14.46 МБ
  • добавлен 31 марта 2011 г.
Jeffrey A. Applied Partial Differential Equations: An Introduction
Academic Press, 2002. - 394 Pages.

This book is written to meet the needs of undergraduates in applied mathematics, physics and engineering studying partial differential equations.

Many books deal with partial differential equations, some at an elementary level and others at more advanced levels, so it is necessary that some justification should be given for the publication of another introductory text. With few exceptions, existing texts written at a similar level restrict their subject matter to the study of the boundary and initial value problems associated with the three fundamental linear second-order partial differential equations of hyperbolic, parabolic and elliptic type, and to solutions obtained by the method of separation of variables. Although these fundamental linear second-order equations are extremely important, and have many classical applications, other more recent applications require familiarity with more general forms of partial differential equations, and also with some of the simpler properties or first-order systems of partial differential equations. Thus the purpose of this book is to attempt to cover all of the standard requirements expected of such a text, though sometimes using a slightly more general approach than usual to unify ideas, and also to introduce the fresh material necessary for understanding many new- practical applications that involve systems of hyperbolic partial differential equations.
Читать онлайн
Смотрите также

Cain G., Meyer G.H. Separation of Variables for Partial Differential Equations: An Eigenfunction Approach

  • формат pdf
  • размер 5.96 МБ
  • добавлен 29 апреля 2011 г.
CRC, 2005. - 304 Pages. Separation of Variables for Partial Differential Equations: An Eigenfunction Approach includes many realistic applications beyond the usual model problems. The book concentrates on the method of separation of variables for partial differential equations, which remains an integral part of the training in applied mathematics. The presentation includes, beyond the usual model problems, a number of realistic applications that...

Cox R. Partial Differential Equations

  • формат pdf
  • размер 12.3 МБ
  • добавлен 10 декабря 2010 г.
Global Media, 2009. - 124 pages Introduction to Partial Differential Equations This book is intended as a Partial Differential Equations reference for individuals who already posses a firm understanding of ordinary differential equations and at least have a basic idea of what a partial derivative is. This book is meant to be easily readable to engineers and scientists while still being (almost) interesting enough for mathematics students. Be advi...

Freiling G., Yurko V. Lectures on Differential Equations of Mathematical Physics: A First Course

  • формат pdf
  • размер 5.12 МБ
  • добавлен 11 декабря 2010 г.
Nova Science Publishers, 2008. - 304 pages. The theory of partial differential equations of mathematical physics has been one of the most important fields of study in applied mathematics. This is essentially due to the frequent occurrence of partial differential equations in many branches of natural sciences and engineering. The present lecture notes have been written for the purpose of presenting an approach based mainly on the mathematical pro...

Jost J. Partial Differential Equations

  • формат pdf
  • размер 13.77 МБ
  • добавлен 10 декабря 2010 г.
Second Edition. Springer, 2007. - 356 pages. This book is intended for students who wish to get an introduction to the theory of partial differential equations. The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear problems. These are maximum principle methods (particularly important for numerical analysis schemes), parabolic equations, variational methods, and c...

Ockendon J., Howison S., Lacey A., Movchan A. Applied Partial Differential Equations

  • формат pdf
  • размер 10.19 МБ
  • добавлен 10 декабря 2010 г.
(Oxford Texts in Applied and Engineering Mathematics) Publisher: Oxford University Press, USA, 2003. - 464 Pages. Partial differential equations are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This new edition of Applied PDEs contains many new sections and exercises Including, American options, transform methods, free surface flows, linear elasticity and complex characteristic...

Selvadurai A.P.S. Partial Differential Equations in Mechanics 1: Fundamentals, Laplace's Equation, Diffusion Equation, Wave Equation

  • формат djvu
  • размер 5.34 МБ
  • добавлен 09 января 2011 г.
Springer, 2000. - 538 pages. This two-volume work mainly addresses undergraduate and graduate students in the engineering sciences and applied mathematics. Hence it focuses on partial differential equations with a strong emphasis on illustrating important applications in mechanics. The presentation considers the general derivation of partial differential equations and the formulation of consistent boundary and initial conditions required to deve...

Sonnendrucker E. (editor) Three Courses on Partial Differential Equations

  • формат pdf
  • размер 1.1 МБ
  • добавлен 03 февраля 2011 г.
Walter de Gruyter, 2003. - 162 pages. Modeling, in particular with partial differential equations, plays an ever growing role in the applied sciences. Hence its mathematical understanding is an important issue for today's research. This book provides an introduction to three different topics in partial differential equations arising from applications. The subject of the first course by Michel Chipot is equilibrium positions of several disks rol...

Stakgold I. Boundary Value Problems of Mathematical Physics

  • формат djvu
  • размер 2.57 МБ
  • добавлен 13 декабря 2010 г.
Society for Industrial Mathematics, 1987. - 748 pages. For more than 30 years, this two-volume set has helped prepare graduate students to use partial differential equations and integral equations to handle significant problems arising in applied mathematics, engineering, and the physical sciences. Originally published in 1967, this graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problem...

Taylor M.E. Partial Differential Equations: Basic Theory

  • формат djvu
  • размер 5.69 МБ
  • добавлен 09 января 2011 г.
Springer, 1999. - 563 pages. This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic probl...

Zachmanoglou E.C., Thoe D.W. Introduction to Partial Differential Equations with Applications

  • формат djvu
  • размер 4.56 МБ
  • добавлен 15 октября 2011 г.
Dover, 1987. - 432 pages. This introductory text explores the essentials of partial differential equations applied to common problems in engineering and the physical sciences. It reviews calculus and ordinary differential equations, explores integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory and more. Includes problems and answers.