The book by Gorbatsevich， Onishchik and Vinberg is the first volume in a subseries of the Encyclopaedia devoted to the theory of Lie groups and Lie algebras.The first part of the book deals with the foundations of the theory based on the classical global approach of Chevalley followed by an exposition of the alternative approach via the universal enveloping algebra and the Campbell-Hausdorff formula. It also contains a survey of certain generalizations of Lie groups.The second more advanced part treats the topic of Lie transformation groups covering e.g. properties of orbits and stabilizers，homogeneous fibre bundles， Frobenius duality， groups of automorphisms of geometric structures， Lie algebras of vector fields and the existence of slices. The work of the last decades including the most recent research results is covered.The book contains numerous examples and describes connections with topology， differential geometry， analysis and applications. It is written for graduate students and researchers in mathematics and theoretical physics.

The book contains a comprehensive account of the structure and classification of Lie groups and finite-dimensional Lie algebras （including semisimple，solvable，and of general type）. In particular，a modem approach to the description of automorphisms and gradings of semisimple Lie algebras is given. A special chapter is devoted to models of the exceptional Lie algebras. The book contains many tables and will serve as a reference. At the same time many results are accompanied by short proofs.Onishchik and Vinberg are internationally known specialists in their field; they are also well known for their monograph“Lie Groups and Algebraic Groups”（Springer-Verlag 1990）.The book will be immensely useful to graduate students in differential geometry，algebra and theoretical physics.

本书从整函数和亚纯函数、三角级数、群上概周期函数、准解析函数的微积分、代数体函数、无穷维空间函数的积分、非线性映射的微分、奥尔里奇空间、广义函数、Picard定理证明、多复变函数11个方面介绍了函数论的初步知识。本书可以作为各级各类高等院校的数控、自控、仪器仪表、无线电、暖通、工民建、建筑物理等专业的参考书，也可以供有关专业的工程技术人员使用。

《国外数学名著系列（续1）（影印版）49：计算不变量理论》is about the computational aspects of invariant theory.Of central interest is the question how the invariant ring of a given group action can be calculated. Algorithms for this purpose form the main pillars around which the book is built. There are two introductory chapters， one on GrObner basis methods and one on the basic concepts of invariant theory， which prepare the ground for the algorithms. Then algorithms for computing invariants of finite and reductive groups are discussed. Particular emphasis lies on interrelations between structural properties of invariant rings and computational methods. Finally， the book contains a chapter on applications of invariant theory， covering fields as disparate as graph theory， coding theory， dynamical systems， and computer vision.The book is intended for postgraduate students as well as researchers in geometry， computer algebra， and， of course， invariant theory. The text is enriched with numerous explicit examples which illustrate the theoiw and should be of more than passing interest.

《不动点理论和应用》是“经典英文数学教材系列”之一，全书共分12个章节，主要对不动点理论和应用知识作了介绍，具体内容包括“Contractions”、“Continuation Principles for Condensing Maps”、“Multivalued Maps with Continuous Selections”、“Multivalued Maps with Closed Graph”等。该书可供各大专院校作为教材使用，也可供从事相关工作的人员作为参考用书使用。

《运筹学》系统地介绍了运筹学中的主要内容，重点讲解了应用广泛的线性规划、运输问题、整数规划、动态规划、图论与网络计划、存储论与决策论等定量分析和优化的理论与方法。《运筹学》强调学以致用，以大量实际问题为背景引出运筹学各分支的基本概念、模型和方法，具有很强的实用性；在基本原理和方法的介绍方面，《运筹学》尽量避免复杂的理论证明，通过大量通俗易懂的例子进行理论方法的讲解，由浅入深，具有较强的趣味性，又不失理论性，适合不同层次的读者。《运筹学》可作为高等院校经济、管理、工程类专业的本科生教材和部分专业研究生教材，也可供各类管理人员及相关人员参考。

Functional analysis is primarily concerned with infinite-dimensional linear（vector） spaces， mainly function spaces whose "points" are functions， andmappings between them， usually called operators or， functionals if the rangeis on the real line or in the complex plane. It was invented and developedin the last years of the nineteenth century and the first few decades of thetwentieth century. During the early period of its development， the originalpurpose of functional analysis was to use a framework which allows the studyof differential and integral equations to be considered in the same formulation（cf. [6]）. Later， functional analysis developed rapidly as in-depth study and in-terconnection on spectral theory of ordinary and partial differential equations，potential theory， Fourier expansions， and applied mathematical techniques，especially， on the influence of mathematical physics and quantum mechan-ics.

本书是人民邮电出版社影印和翻译出版的《随机过程初级教程》的姊妹篇，内容包括马尔可夫链的代数方法、转移概率的比定理及应用、连续时间马尔可夫链、扩散过程、复合随机过程、独立同分布随机变理部分和波动理论、排队过程等很多主题。本书将理论与应用有机地结合在一起，取得了完美的平衡。本书适用而广，可供数学、物理学、生物学、社会学、管理学和其他工程领域的理论研究者和实践者学习。

本书结合作者的部分研究成果，以及在相关科研实践中的体会和积累的经验，系统地介绍了格子BOltzmann方法的基本概念、模型推导、边界处理、网格划分、数值实施以及发展现状等，并配以具体算例及程序代码，以帮助读者快速掌握。　本书适用于高等院校和科研单位的研究生、工程技术人员和研究人员，可作为能源、机械、数学、物理及生物工程等大类专业的计算流体力学与计算传热学课程的教材或参考用书。

本书提出了一种通用的数学建模方法——五步方法。帮助读者迅速掌握数学建模的真谛。作者以引人入胜的方式描述了数学模型的3个主要领域：最优化、动力系统和随机过程。本书以实用的方法解决各式各样的现实问题，包括空间飞船的对接、传染病的增长率和野生生物的管理等。此外，本书根据需要详细介绍了解决问题所需要的数学知识。本版新增内容：增加了关于时间序列分析和扩散模型的新节。关注国际性问题，如经济预测、人口控制、蓄水池。此外，更新了最优化问题。