自然科学
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物理科学中的奇异摄动John C. NeuThis 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赵蕴杰《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。 -
大气非平衡辐射学(西)洛佩斯-普埃尔托斯M.(M.López-Puertas),(英)泰勒F.W.(F.W.Taylor)《大气非平衡辐射学》从辐射基本理论出发,系统地介绍了非平衡辐射模型,非平衡辐射传输问题求解方法及其在行星大气中的应用。第1章介绍了地球大气基本热力学结构,主要红外辐射分子,以及非平衡辐射的基本概念等。第2章讨论了中高层大气条件下红外辐射涉及的大气分子能级及跃迁。第3章介绍了辐射传输的基础知识。第4章和第5章分别是局地热平衡和非平衡条件下的辐射问题求解方法。第6章求解了CO2的非平衡辐射问题。第7章求解了大气研究中其他组分的非平衡辐射问题。第8章是非平衡辐射模型在大气遥感中的应用。第9章为非平衡辐射模型在大气加热及冷却中的应用。第10章简要介绍了其他行星大气中的非平衡辐射现象以及非平衡辐射模型的应用。 -
云南昆虫名录易传辉,和秋菊《云南昆虫名录(第二卷)》为《云南昆虫名录》的第二卷。《云南昆虫名录(第二卷)》共记载云南分布昆虫纲广翅目、蛇蛉目、脉翅目、捻翅目、长翅目、蚤目、毛翅目和鳞翅目8目116科2252属7769(亚)种。 -
免疫学中的数学方法Jerome K. Percus暂缺简介... -
大气与海洋的偏微分方程和波引论Andrew Majda本书旨在向数学工作者介绍大气/海洋科学(AOS)这一引人入胜且重要的领域。本书适合对偏微分方程及其在大气/海洋科学(AOS)中的应用感兴趣的研究生以及数学研究人员阅读参考。Written by a leading specialist in the area of atmosphere/ocean science (AOS), the book presents an excellent introduction to this important topic. The goals of these lecture notes, based on courses presented by the author at the Courant Institute of Mathematical Sciences, are to introduce mathematicians to the fascinating and important area of AOS and, conversely, to develop a mathematical viewpoint on basic topics in AOS of interest to the disciplinary AOS community, ranging from graduate students to researchers. The lecture notes emphasize the serendipitous connections between applied mathematics and geophysical flows in the style of modern applied mathematics, where rigorous mathematical analysis as well as asymptotic, qualitative, and numerical modeling all interact to ease the understanding of physical phenomena. Reading these lecture notes does not require a previous course in fluid dynamics, although a serious reader should supplement them with additional information on geophysical flows, as suggested in the preface.The book is intended for graduate students and researchers working in interdisciplinary areas between mathematics and AOS. It is excellent for supplementary course reading or independent study. -
数学分析[俄] B. A. 卓里奇 著,李植 译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。 -
红壤丘陵区雨水径流资源水土保持调控谢颂华等本书从江西红壤丘陵区降雨、入渗、土壤水等方面,系统开展果园、坡耕地、林地三种主要土地类型的降雨径流分配规律的研究,提出基于降雨径流特征期、水土流失关键期、作物需水主要矛盾期的雨水径流调控理论。研发就地截流促渗、汇流蓄存、集蓄灌溉等单项关键调控技术,集成坡耕地、果园和林地雨水径流资源水土保持调控技术体系。以小流域为单元,构建山顶戴帽、山腰果园、山脚耕地和山下沟道的江西红壤丘陵区雨水径流水土保持调控技术模式。 -
整数上的Ramsey理论Bruce M. Landman,Aaron RobertsonRamsey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. -
大宗商品价格传导路径与预测研究张奇,胡毅,汪寿阳在当前重大危机事件频发的背景下,了解大宗商品价格的传导路径,把握大宗商品价格的涨跌趋势对原材料进出口、企业生产和投资具有重要的指导意义。《大宗商品价格传导路径与预测研究——基于重大危机事件视角》研究了重大危机事件对大宗商品价格的短期影响、长期影响和具体的影响渠道,并探究了重大危机事件导致的大宗商品价格大幅波动如何传导至中国的宏观经济和重点相关行业,形成了“重大危机事件→大宗商品价格→中国经济”的研究路径。同时采用集成预测和系统动力学方法,把握重大危机事件影响下大宗商品价格的运行趋势。《大宗商品价格传导路径与预测研究——基于重大危机事件视角》对大宗商品领域的理论研究和方法体系的完善起到了积极的推动作用。
