谁有Partial Differential Equations fritz chess 4.3John Fourth Edition这本书的中文版的呀？？急求！谢谢啦！
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时间：2015-06-05 02:16
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中文名: 国立交通大学 偏微分方程(一)英文名: Partial Differential Equations别名: 数学物理方程版本: 97学年度 应用数学系 林琦焜老师发行日期: 2008年地区: 台湾对白语言: 普通话,英语文字语言: 繁体中文简介: 课程介绍：开拓视野新学习 数学交流新气象本课程是由交通大学应用数学系提供。本课程属研究所程度的微分方程课程，授课偏重於数学与物理间的连结，并且让学生藉由此课程了解直观地PDE概念。授课教师 应用数学系 林琦焜老师授课时数 每週3小时授课学分 3学分授课学期 97学年度授课对象 研究所学生 预备知识 Calculus, Advanced Calculus, Linear Algebra,Ordinary differential equation,Complex Analysis and Real analysis课程纲要课程目标/概述 本课程属研究所程度的微分方程课程，授课偏重於数学与物理间的连结，并且让学生藉由此课程了解直观地PDE概念。课程章节 第一章 The Single First-Order Equation第二章 Second-Order Equations: Hyperbolic Equations for Functions of Two Independent Variables第三章 Characteristic Manifolds and Cauchy Problem第四章 The Laplace Equation课程书目 * Partial Differential Equations (4th Edition), Fritz John Applied Mathematical Sciences Vol.1, Springer-Verlag 1982课程纲要 单元主题内容纲要第一章 The Single First-Order Equation1-1 Introduction Partial differential equations occur throughout mathematics. In this part we will give some examples1-2 Examples1-3 Analytic Solution and Approximation methods in a simple example 1-st order linear example1-4 Quasilinear Equation The concept of characteristic1-5 The Cauchy Problem for the Quasilinear-linear Equations1-6 Examples Solved problems1-7 The general first-order equation for a function of two variables characteristic curves, envelope1-8 The Cauchy Problem characteristic curves, envelope1-9 Solutions generated as envelopes第二章Second-Order Equations: Hyperbolic Equations for Functions of Two Independent Variables2-1 Characteristics for Linear and Quasilinear Second-Order Equations Characteristic2-2 Propagation of Singularity Characteristic curve and singularity2-3 The Linear Second-Order Equation classification of 2nd order equation2-4 The One-Dimensional Wave Equation dAlembert formula, dimond law, Fourier series2-5 System of First-Order Equations Canonical form, Characteristic polynominal2-6 A Quasi-linear System and Simple Waves Concept of simple wave第三章 Characteristic Manifolds and Cauchy Problem3-1 Natation of Laurent Schwartz Multi-index notation3-2 The Cauchy Problem Characteristic matrix, characteristic form3-3 Real Analytic Functions and the Cauchy-Kowalevski Theorem Local existence of solutions of the non-characteristic3-4 The Lagrange-Green Identity Gauss divergence theorem3-5 The Uniqueness Theorem of Holmgren Uniqueness of analytic partial differential equations3-6 Distribution Solutions Introdution of Laurent Schwartzs theory of distribution (generalized function)第四章 The Laplace Equation4-1 Greens Identity, Fundamental Solutions, and Poissons Equation Dirichlet problem, Neumann problem, spherical symmetry, mean value theorem, Poisson formula4-2 The Maximal Principle harmonic and subharmonic functions4-3 The Dirichlet Problem, Greens Function, and Poisson Formula Symmetric point, Poisson kernel4-4 Perrons method Existence proof of the Dirichlet problem4-5 Solution of the Dirichlet Problem by Hilbert-Space Methods Functional analysis, Riesz representation theorem, Dirichlet integra
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Graduate Texts in Mathematics
Graduate Texts in Mathematics
Series Editors:
Sheldon Axler
San Francisco State University, San Francisco, CA, USA
Kenneth Ribet
University of California, Berkeley, CA, USA
Advisory Board:
Colin Adams, Williams College, Williamstown, MA, USA
Alejandro Adem, University of British Columbia, Vancouver, BC, Canada
Ruth Charney, Brandeis University, Waltham, MA, USA
Irene M. Gamba, The University of Texas at Austin, Austin, TX, USA
Roger E. Howe, Yale University, New Haven, CT, USA
David Jerison, Massachusetts Institute of Technology, Cambridge, MA, USA
Jeffrey C. Lagarias, University of Michigan, Ann Arbor, MI, USA
Jill Pipher, Brown University, Providence, RI, USA
Fadil Santosa, University of Minnesota, Minneapolis, MN, USA
Amie Wilkinson, University of Chicago, Chicago, IL, USA
Mathematics
understanding,
graduate-level
introductions
in mathematics. The volumes are carefully written as teaching aids and highlight
characteristic features of the theory. Although these books are frequently used as
textbooks in graduate courses, they are also suitable for individual study.
For further volumes:
J¨urgen Jost
Partial Differential Equations
Third Edition
J¨urgen Jost
Max Planck Institute
for Mathematics in the Sciences
Leipzig, Germany
ISBN 978-1-
ISBN 978-1-
Springer New York Heidelberg Dordrecht London
Library of Congress Control Number:
Mathematics Subject Classi?cation: 35-XX, 35-01, 35JXX, 35KXX, 35LXX, 35AXX, 35BXX, 35DXX
? Springer Science+Business Media New York 2013
This work is subject to copyright. All rights are
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中文名: 国立交通大学 偏微分方程(一)英文名: Partial Differential Equations别名: 数学物理方程版本: 97学年度 应用数学系 林琦焜老师发行日期: 2008年地区: 台湾对白语言: 普通话,英语文字语言: 繁体中文简介: 课程介绍：开拓视野新学习 数学交流新气象本课程是由交通大学应用数学系提供。本课程属研究所程度的微分方程课程，授课偏重於数学与物理间的连结，并且让学生藉由此课程了解直观地PDE概念。授课教师 应用数学系 林琦焜老师授课时数 每週3小时授课学分 3学分授课学期 97学年度授课对象 研究所学生 预备知识 Calculus, Advanced Calculus, Linear Algebra,Ordinary differential equation,Complex Analysis and Real analysis课程纲要课程目标/概述 本课程属研究所程度的微分方程课程，授课偏重於数学与物理间的连结，并且让学生藉由此课程了解直观地PDE概念。课程章节 第一章 The Single First-Order Equation第二章 Second-Order Equations: Hyperbolic Equations for Functions of Two Independent Variables第三章 Characteristic Manifolds and Cauchy Problem第四章 The Laplace Equation课程书目 * Partial Differential Equations (4th Edition), Fritz John Applied Mathematical Sciences Vol.1, Springer-Verlag 1982课程纲要 单元主题内容纲要第一章 The Single First-Order Equation1-1 Introduction Partial differential equations occur throughout mathematics. In this part we will give some examples1-2 Examples1-3 Analytic Solution and Approximation methods in a simple example 1-st order linear example1-4 Quasilinear Equation The concept of characteristic1-5 The Cauchy Problem for the Quasilinear-linear Equations1-6 Examples Solved problems1-7 The general first-order equation for a function of two variables characteristic curves, envelope1-8 The Cauchy Problem characteristic curves, envelope1-9 Solutions generated as envelopes第二章Second-Order Equations: Hyperbolic Equations for Functions of Two Independent Variables2-1 Characteristics for Linear and Quasilinear Second-Order Equations Characteristic2-2 Propagation of Singularity Characteristic curve and singularity2-3 The Linear Second-Order Equation classification of 2nd order equation2-4 The One-Dimensional Wave Equation dAlembert formula, dimond law, Fourier series2-5 System of First-Order Equations Canonical form, Characteristic polynominal2-6 A Quasi-linear System and Simple Waves Concept of simple wave第三章 Characteristic Manifolds and Cauchy Problem3-1 Natation of Laurent Schwartz Multi-index notation3-2 The Cauchy Problem Characteristic matrix, characteristic form3-3 Real Analytic Functions and the Cauchy-Kowalevski Theorem Local existence of solutions of the non-characteristic3-4 The Lagrange-Green Identity Gauss divergence theorem3-5 The Uniqueness Theorem of Holmgren Uniqueness of analytic partial differential equations3-6 Distribution Solutions Introdution of Laurent Schwartzs theory of distribution (generalized function)第四章 The Laplace Equation4-1 Greens Identity, Fundamental Solutions, and Poissons Equation Dirichlet problem, Neumann problem, spherical symmetry, mean value theorem, Poisson formula4-2 The Maximal Principle harmonic and subharmonic functions4-3 The Dirichlet Problem, Greens Function, and Poisson Formula Symmetric point, Poisson kernel4-4 Perrons method Existence proof of the Dirichlet problem4-5 Solution of the Dirichlet Problem by Hilbert-Space Methods Functional analysis, Riesz representation theorem, Dirichlet integra
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Graduate Texts in Mathematics
Graduate Texts in Mathematics
Series Editors:
Sheldon Axler
San Francisco State University, San Francisco, CA, USA
Kenneth Ribet
University of California, Berkeley, CA, USA
Advisory Board:
Colin Adams, Williams College, Williamstown, MA, USA
Alejandro Adem, University of British Columbia, Vancouver, BC, Canada
Ruth Charney, Brandeis University, Waltham, MA, USA
Irene M. Gamba, The University of Texas at Austin, Austin, TX, USA
Roger E. Howe, Yale University, New Haven, CT, USA
David Jerison, Massachusetts Institute of Technology, Cambridge, MA, USA
Jeffrey C. Lagarias, University of Michigan, Ann Arbor, MI, USA
Jill Pipher, Brown University, Providence, RI, USA
Fadil Santosa, University of Minnesota, Minneapolis, MN, USA
Amie Wilkinson, University of Chicago, Chicago, IL, USA
Mathematics
understanding,
graduate-level
introductions
in mathematics. The volumes are carefully written as teaching aids and highlight
characteristic features of the theory. Although these books are frequently used as
textbooks in graduate courses, they are also suitable for individual study.
For further volumes:
J¨urgen Jost
Partial Differential Equations
Third Edition
J¨urgen Jost
Max Planck Institute
for Mathematics in the Sciences
Leipzig, Germany
ISBN 978-1-
ISBN 978-1-
Springer New York Heidelberg Dordrecht London
Library of Congress Control Number:
Mathematics Subject Classi?cation: 35-XX, 35-01, 35JXX, 35KXX, 35LXX, 35AXX, 35BXX, 35DXX
? Springer Science+Business Media New York 2013
This work is subject to copyright. All rights are
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