Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

本书的主要内容为群论、域上的线性代数、域论和伽罗瓦理论。对于抽象的概念，本书力求通过阐述其与分析、几何、物理和其他应用学科的联系以及通过大量体直观的例子，使读者对抽象代数能有较深入的理解。 书中有充足的习题，并对其中较难的习题给出了参考解答。阅读本书所需要的预备知识仅为大学微积分和线性代数。 本书是抽象代数的基础教材，适于作为数学专业研究生基础课教学或自学的教科书，也可供其他相关专业的学生、研究者以及大学本科教学用作参考书。

Now inits 7th edition, Mathematical Methods for Physicists continues to provide all the mathematical methods that aspiring scientists and engineers are likely to encounter as students and beginning researchers. This bestselling text provides mathematical relations and their proofs essential to the study of physics and related fields. While retaining thekey features of the 6th edition, the new edition provides a more careful balance of explanation, theory, and examples. Taking a problem-solving-skills approach to incorporating theorems with applications, the book's improved focus will help students succeed throughout their academic careers and well into their professions. Some notable enhancements include more refined and focused content in important topics, improved organization, updated notations, extensive explanations and intuitive exercise sets, a wider range of problem solutions, improvement in the placement, and a wider range of difficulty of exercises. Revised and updated version of the leading text in mathematical physics Focuses on problem-solving skills and active learning, offering numerous chapter problems Clearly identified definitions, theorems, and proofs promote clarity and understanding New to this edition: Improved modular chapters New up-to-date examples More intuitive explanations

《数学模型讲义(第2版)》系作者在近年来为北京大学本科生开设的“数学模型”课程所用讲义基础上，经补充、修改编写而成.全书共分十五章，分别介绍线性及整数规划、图论、计算机成像、密码学、统计分类、神经网络、相变模型、排队论、化学反应速率与模拟退火、生物进化、混沌、传染病的发生与防治、幻视、格气等多种成功模型及应用数学方法，各章独立成篇.《数学模型讲义(第2版)》内容充实，结构合理，选材适当其中包括了一些较新的材料.在叙述上，既注重建模方法，又注意理论与应用并重，强调对问题的理解，力求有尽可能广的适用范围. 《数学模型讲义(第2版)》是第2版，此次修订是在第1版内容的基础上增加了第一章附录：二人矩阵零和博弈与线性规划的关系；第八章：伊辛模型；第十三章：有关传染病发生与防治的几个模型；第十四章：关于“幻视”的数学讨论。新增加的内容侧重于统计物理和生物医学方面的成功模型，反映了当今时代数学与数学模型在这些领域的重大进展. 《数学模型讲义(第2版)》可作为综合大学及师范类院校理工各系科“数学模型”教科书’或者用做学生参加数学建模竞赛的辅导材料，也可供高等院校师生及各类工程科技人员工作时参考。