傅立叶级数和边值问题（第8版）

　　为了满足2020年硕士研究生入学考试的广大备考生的迫切要求，我们重新编写修订了这本《俄语历届考研真题详解》。《傅立叶级数和边值问题（第8版）》对2011-2018年共八套考研真题作了详解。具体作法是：1.阅读理解：短文及提问均全文给出译文，对每个文后问题从答题要领上作了扼要分析并说明了答案选择的依据，必要时对容易选错的地方也作了讲解。但从2013年起，考虑到此项解说的实际效果，2013年后的阅读理解测试题不再解说，只全文翻译，并给出答案。2.词汇语法.每个句子均给出译文，有的先从正确答案进行分析，然后对比不适合本句的答案并说明其为什么不符合题意，有的则采用排除法，先从语法或语义上一步步排除不符合题意的词，*后得出正确答案。其中特别注意指出答案正确与否的原因所在，以使备考生在遇到类似问题时可以比照作出判断。3.翻译，只给出全文译文。4.写文：考虑到分析原题并给出范文意义不大，故此项从略，建议参考《大学俄语写作精要》（修订本）。目录

暂缺《傅立叶级数和边值问题（第8版）》作者简介

Preface
1 Fourier Series
Piecewise Continuous Functions
Fourier Cosine Series
Examples
Fourier Sine Series
Examples
Fourier Series
Examples
Adaptations to Other Intervals
2 Convergence of Fourier Series
One-Sided Derivatives
A Property of Fourier Coefficients
Two Lemmas
A Fourier Theorem
A Related Fourier Theorem
Examples
Convergence on Other Intervals
ALemma
Absolute and Uniform Convergence of Fourier Series
The Gibbs Phenomenon
Differentiation of Fourier Series
Integration of Fourier Series
3 Partial Differential Equations of Physics
Linear Boundary Value Problems
One-Dimensional Heat Equation
Related Equations
Laplacian in Cylindrical and Spherical Coordinates
Derivations
Boundary Conditions
Duhamel's Principle
A Vibrating String
Vibrations of Bars and Membranes
General Solution of a Wave Equation
Types of Equations and Boundary Conditions
……
4 The Fourier Method
5 Boundary Value Problems
6 Fourier Integrals and Applications
7 OrthonormaI Sets
8 Sturm-Liouville Problems and Applications
9 Bessel Functions and Applications
10 Legendre Polynomials and Applications
11 Verification of Solutions and Uniqueness
Appendixes
Index
编辑手记