Random Matrices, Volume 142, Third Edition

http://www.china-pub.com/computers/common/info.asp?id=30581

Random Matrices, Volume 142, Third Edition

这是一本名著，初版于1 968年，1991年出了第2版，著名的Elsevier出版公司于2004年出版了第3版。一部专著，在出版36年后仍继续再版，这并不常见。可以肯定地说，这是关于随机矩阵研究领域最好的专著。事实上，著名的网上书店——Amazon关于本书第2版的销售情况，以及读者的反馈意见，都印证了这一点。第3版又增加了许多新内容，涉及近十年来关于随机矩阵最新的研究成果。.
本书系统而详细地论述了随机矩阵的解析方法。全书共27章，52个附录，与第2版相比，第3版新增近五分之一的篇幅，其中包括新增6章内容和12个附录。本书有如下特点：(1)包含许多新的研究结果；(2)引入斜正交多项式、双正交多项式及其应用；(3)介绍了Fredholm行列式和Painleve方程的关系；(4)详细论述了三种高斯系综(么正系综，正交系综和辛系综)，n-点关联函数；(5)介绍了Fredholm行列式和反散射理论的关系；(6)介绍了随机行列式的概率

密度。...

Preface to the Third Edition

Preface to the Second Edition

Preface to the First Edition

Chapter 1. Introduction.

Chapter 2. Gaussian Ensembles. The Joint Probability Density Function for the Matrix Elements

Chapter 3. Gaussian Ensembles. The Joint Probability Density Function for the Eigenvalues

Chapter 4. Gaussian Ensembles Level Density

Chapter 5. Orthogonal， Skew-Orthogonal and Bi-Orthogonal Polynomials

Chapter 6. Gaussian Unitary Ensemble

Chapter 7. Gaussian Orthogonal Ensemble

Chapter 8. Gaussian Symplectic Ensemble

Chapter 9. Gaussian Ensembles: Brownian Motion Model

Chapter 10. Circular Ensembles

Chapter 11. Circular Ensembles (Continued)

Chapter 12. Circular Ensembles. Thermodynamics..

Chapter 13. Gaussian Ensemble of Anti-Symmetric Hermitian Matrices

Chapter 14. A Gaussian Ensemble of Hermitian Matrices With Unequal Real and Imaginary Parts

Chapter 15. Matrices With Gaussian Element Densities But With No Unitary or Hermitian Conditions Imposed

Chapter 16. Statistical Analysis of a Level-Sequence

Chapter 17. Selberg‘s Integral and Its Consequences

Stein, Elias M., 1931- .:

Harmonic analysis / Elias M. Stein ; with the assistance of Timothy S. Murphy. [monograph] .

Beijing : World Books Publishing Corporation, 2006..

xiii, 695 p. : ill. ; 25 cm..

http://www.china-pub.com/computers/common/info.asp?id=300876

http://www.china-pub.com/computers/common/info.asp?id=300891 经典场论（英文影印版）

Kutner, Michael H. .:

Applied linear regression models = 应用线性回归模型 / Michael H. Kutner, Christopher J. Nachtsheim, John Neter. [monograph] .

Beijing : Higher Education Press, 2005..

xvii, 701 p. : ill. ; 24 cm. + 1 CD-ROM (4 3/4 in.).

Kasyanov, Victor N. .:

Graph theory for programmers : algorithms for processing trees / by Victor N. Kasyanov and Vladimir A. Evstigneev. [monograph] .

Dordrecht, The Netherlands : Kluwer Academic, c2000..

x, 432 p. : ill. ; 25 cm..