• формат djvu
  • размер 775.01 КБ
  • добавлен 25 августа 2011 г.
Kuttler K. Lecture for Partial Differential Equations
2003. - 151 pages.
Review Of Advanced Calculus.
Continuous Functions Of One Variable.
Exercises.
Theorems About Continuous Functions.
The Integral.
Upper And Lower Sums.
Exercises.
Functions Of Riemann Integrable Functions.
Properties Of The Integral.
Fundamental Theorem Of Calculus.
Exercises.
Multivariable Calculus.
Continuous Functions.
Sufficient Conditions For Continuity.
Exercises.
Limits Of A Function.
Exercises.
The Limit Of A Sequence.
Sequences And Completeness.
Continuity And The Limit Of A Sequence.
Properties Of Continuous Functions.
Exercises.
Proofs Of Theorems.
The Concept Of A Norm.
The Operator Norm.
The Frechet Derivative.
Higher Order Derivatives.
mplicit Function Theorem.
The Method Of Lagrange Multipliers.
Taylor's Formula.
Weierstrass Approximation Theorem.
Ascoli Arzela Theorem.
Systems Of Ordinary Differential Equations.
The Banach Contraction Mapping Theorem.
C1 Surfaces And The Initial Value Problem.
First Order PDE.
Quasilinear First Order PDE.
Conservation Laws And Shocks.
Nonlinear First Order PDE.
Wave Propagation.
Complete Integrals.
The Laplace And Poisson Equation.
The Divergence Theorem.
Balls.
Polar Coordinates.
Poisson's Problem.
Poisson's Problem For A Ball.
Does It Work In Case f = 0?
The Case Where f 0, Poisson's Equation.
The Half Plane.
Properties Of Harmonic Functions.
Laplace's Equation For General Sets.
Properties Of Subharmonic Functions.
Poisson's Problem Again.
Maximum Principles.
Elliptic Equations.
Maximum Principles For Elliptic Problems.
Weak Maximum Principle.
Strong Maximum Principle.
Maximum Principles For Parabolic Problems.
The Weak Parabolic Maximum Principle.
The Strong Parabolic Maximum Principle.
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...

Copson E.T. Partial Differential Equations

  • формат djvu
  • размер 1.91 МБ
  • добавлен 10 декабря 2010 г.
Cambridge University Press, 1975. - 292 p. In this book, Professor Copson gives a rigorous account of the theory of partial differential equations of the first order and of linear partial differential equations of the second order, using the methods of classical analysis. In spite of the advent of computers and the applications of the methods of functional analysis to the theory of partial differential equations, the classical theory retains its...

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...

Emmrich E., Wittbold P. (editors) Analytical and Numerical Aspects of Partial Differential Equations: Notes of a Lecture Series

  • формат pdf
  • размер 1.94 МБ
  • добавлен 11 декабря 2010 г.
Walter de Gruyter, 2009. - 290 pages. This text contains a series of self-contained reviews on the state of the art in different areas of partial differential equations, presented by French mathematicians. Topics include qualitative properties of reaction-diffusion equations, multiscale methods coupling atomistic and continuum mechanics, adaptive semi-Lagrangian schemes for the Vlasov-Poisson equation, and coupling of scalar conservation laws....

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...

Jeffrey A. Applied Partial Differential Equations: An Introduction

  • формат pdf
  • размер 14.46 МБ
  • добавлен 31 марта 2011 г.
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 writt...

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...

Rassias J.M. Lecture Notes on Mixed Type Partial Differential Equations

  • формат djvu
  • размер 1.58 МБ
  • добавлен 20 августа 2011 г.
World Scientific Pub, 1990. - 152 Pages. This series of lecture notes includes various parts of the theory of mixed type partial differential equations with boundary conditions such as: the classical dynamical equation of mixed type due to S. A. Chaplygin (1904), regularity of solutions in the sense of the first pioneer in the field F. G. Tricomi (1923) and in brief his fundamental idea leading to one-dimensional singular integral equations, th...

Taylor M.E. Partial Differential Equations III: Nonlinear Equations

  • формат pdf
  • размер 3.72 МБ
  • добавлен 14 января 2011 г.
Springer, 2010. - 715 Pages. The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear d...

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...