This book is the testimony of a physical scientist whose language is singular perturbation analysis. Classical mathematical notions， such as matched asymptotic expansions， projections of large dynamical systems onto small center manifolds， and modulation theory of oscillations based either on multiple scales or on averaging/transformation theory， are included. The narratives of these topics are carried by physical examples： Let’s say that the moment when we “see” how a mathematical pattern fits a physical problem is like “hitting the ball”. Yes， we want to hit the ball. But a powerful stroke includes the follow-through. One intention of this book is to discern in the structure and/or solutions of the equations their geometric and physical content. Through analysis， we come to sense directly the shape and feel of phenomena.The book is structured into a main text of fundamental ideas and a subtext of problems with detailed solutions. Roughly speaking， the former is the initial contact between mathematics and phenomena， and the latter emphasizes geometric and physical insight. It will be useful for mathematicians and physicists learning singular perturbation analysis of ODE and PDE boundary value problems as well as the full range of related examples and problems. Prerequisites are basic skills in analysis and a good junior/senior level undergraduate course of mathematical physics.

《软物质生物分子物理基础》是面向高等学校理工科学生所编写的一本初识软物质生物分子的教材。《软物质生物分子物理基础》所包含的基本物理概念、物理理论和物理方法是理解和分析软物质生物分子的重要内容，也是未来从事软物质生物分子物理相关工作所不可或缺的知识。《软物质生物分子物理基础》是物理学专业知识的拓展与延伸，能够使学生在了解基本物理概念和理论的基础上，掌握相关的物理模型和分析工具，了解物理知识和方法在理论物理交叉学科前沿中的应用，提高学生对学科交叉融合的认知，为进一步深入研究软物质生物分子物理问题打下坚实的基础。

Ramsey理论是对数学对象的结构的研究，这本创新的书提供了Ramsey理论对整数的第一个有凝聚力的研究。它可能包含了这个蓬勃发展的学科中已解决和未解决问题的最实质性的说明。本书适合对组合学、数论和Ramsey理论感兴趣的研究生和数学研究人员阅读参考。Ramsey theory is the study of the structure of mathematical objects that is preserved under partitions. In its full generality， Ramsey theory is quite powerful， but can quickly become complicated. By limiting the focus of this book to Ramsey theory applied to the set of integers， the authors have produced a gentle， but meaningful， introduction to an important and enticing branch of modern mathematics. Ramsey Theory on the Integers offers students a glimpse into the world of mathematical research and the opportunity for them to begin pondering unsolved problems.For this new edition， several sections have been added and others have been significantly updated. Among the newly introduced topics are： rainbow Ramsey theory， an “inequality” version of Schur's theorem， monochromatic solutions of recurrence relations， Ramsey results involving both sums and products， monochromatic sets avoiding certain differences， Ramsey properties for polynomial progressions， generalizations of the Erd？s-Ginzberg-Ziv theorem， and the number of arithmetic progressions under arbitrary colorings.

本书是作者在莫斯科大学力学数学系多遍讲授数学分析课程的基础上写成的，自1981年第1版出版以来，到2015年已经修订、增补至第7版。作者加强了分析学、代数学和几何学等现代数学课程之间的联系，重点关注一般数学中最有本质意义的概念和方法，采用适当接近现代数学文献的语言进行叙述，在保持数学一般理论叙述严谨性的同时，也尽量体现数学在自然科学中的各种应用。全书共两卷，第一卷内容包括：集合、逻辑符号的运用、实数理论、极限和连续性、一元函数微分学、积分、多元函数及其极限与连续性、多元函数微分学。本书观点较高，内容丰富新颖，所选习题极具特色，是教材理论部分的有益补充。本书可作为综合大学和师范大学数学、物理、力学及相关专业的教师和学生的教材或主要参考书，也可供工科大学应用数学专业的教师和学生参考使用。

《现代微生物学》系统阐述了原核生物的细菌与古菌、真核生物的真菌、非细胞生物的病毒等各类微生物的形态结构、繁殖、营养、代谢、生长、遗传变异、生态分布、免疫、分类等内容，并结合发酵工程介绍了微生物的应用。《现代微生物学》每章开头有导言、知识导图与关键词，章后有思考题，书末附有名词简写及中英文对照、微生物名录。《现代微生物学》还设有配套数字资源，包括知识扩展阅读资料、各章思考题解题要点，以方便读者对知识点的理解与学习。

本书是对平面代数曲线的一个非正式且通俗易懂的介绍，也是代数几何的一个自然切入点。这本书有一个统一的主题：给曲线足够的生存空间，美丽的定理就会随之而来。这本书通过具体的例子和图片介绍抽象的概念，为读者提供了对主题的坚实直觉，同时保持了阐述的简单易懂。它可以作为平面代数曲线本科课程的教材，也可以作为研究生代数几何的配套教材。数学背景有限的人可以阅读这本书。这是因为对于数学之外的人来说，对代数几何的入门需求越来越大，代数几何在从生物学到化学、机器人到密码学等领域发挥着越来越大的作用。

From the earliest days of measure theory， invariant measures have held the interests of geometers and analysts alike， with the Haar measure playing an especially delightful role. The aim of this book is to present invariant measures on topological groups， progressing from special cases to the more general. Presenting existence proofs inspecial cases， such as compact metrizable groups， highlights how the added assumptions give insight into just what the Haar measure is like; tools from different aspects of analysis and/or combinatorics demonstrate the diverse views afforded the subject. After presenting the compact case， applications indicate how these tools can find use. The generalization to locally compact groups is then presented and applied to show relations between metric and measure theoretic invariance. Steinlage’s approach to the general problem of homogeneous action in the locally compact setting shows how Banach’s approach and that of Cartan and Weil can be unified with good effect. Finally， the situation of a nonlocally compact Polish group is discussed briefly with the surprisingly unsettling consequences indicated.The book is accessible to graduate and advanced undergraduate students who have been exposed to a basic course in real variables， although the authors do review the development of the Lebesgue measure. It will be a stimulating reference for students and professors who use the Haar measure in their studies and research.

本书发展了处理非线性常微分方程和偏微分方程的拓扑和解析方法。本书适合对泛函分析感兴趣的研究生和数学研究人员阅读参考。Since its first appearance as a set of lecture notes published by the Courant Institute in 1974， this book has served as an introduction to various subjects in nonlinear functional analysis. The current edition is a reprint of these notes， with added bibliographic references.Topological and analytic methods are developed for treating nonlinear ordinary and partial differential equations. The first two chapters of the book introduce the notion of topological degree and develop its basic properties. These properties are used in later chapters in the discussion of bifurcation theory （the possible branching of solutions as parameters vary）， including the proof of Rabinowitz's global bifurcation theorem. Stability of the branches is also studied. The book concludes with a presentation of some generalized implicit function theorems of Nash-Moser type with applications to Kolmogorov-Arnold-Moser theory and to conjugacy problems.After more than 20 years， this book continues to be an excellent graduate level textbook and a useful supplementary course text.

本书以西北农牧交错带为研究区域，将站点长期定位监测、遥感观测和模型模拟相结合，建立西北农牧交错带主要下垫面水热要素定位观测体系，构建考虑植被动态变化的陆气双向耦合模型，量化植被恢复对区域水循环的贡献率和远程效应，提出农牧交错带土地利用适应性管理对策，系统论述土地利用变化对地表水热过程的影响，以期为农牧交错带土地合理利用、生态安全屏障建设、水资源管理和生态恢复的可持续发展提供科技支撑。

本书为《张奠宙文集》第二卷，汇集了张奠宙先生写作（含合作）的百余篇文章和传记，分为三部分：第一部分是现代数学史，包括20世纪数学史、中国现代数学史、华人数理名家研究、中国数学教育史和数学家传记等；第二部分是数学文化与数学普及，包括数学文化、数学欣赏和数学普及三类文章；第三部分是杂论，包括中国科学史、学术媒介与学术单位、人物回忆等内容。把数学史、数学文化研究，同数学教育、数学普及工作结合起来，为数学教育而研究数学史、数学文化，正是张奠宙先生重要的数学史治学思想和数学教育思想。