《计算机科学分析：基础、方法和算法》第二版

English | PDF,EPUB | 2018 | 372 Pages | ISBN : 3319911546 | 26.47 MB

This easy-to-follow textbook/reference presents a concise introduction to mathematical analysis from an algorithmic point of view, with a particular focus on applications of analysis and aspects of mathematical modelling. The text describes the mathematical theory alongside the basic concepts and methods of numerical analysis, enriched by computer experiments using MATLAB, Python, Maple, and Java applets. This fully updated and expanded new edition also features an even greater number of programming exercises. Topics and features: describes the fundamental concepts in analysis, covering real and complex numbers, trigonometry, sequences and series, functions, derivatives, integrals, and curves; discusses important applications and advanced topics, such as fractals and L-systems, numerical integration, linear regression, and differential equations; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes added material on hyperbolic functions, curves and surfaces in space, second-order differential equations, and the pendulum equation (NEW); contains experiments, exercises, definitions, and propositions throughout the text; supplies programming examples in Python, in addition to MATLAB (NEW); provides supplementary resources at an associated website, including Java applets, code source files, and links to interactive online learning material. Addressing the core needs of computer science students and researchers, this clearly written textbook is an essential resource for undergraduate-level courses on numerical analysis, and an ideal self-study tool for professionals seeking to enhance their analysis skills.

这本易于跟随的教科书/参考书以算法的角度简明介绍了数学分析的基本概念，特别注重数学分析的应用和建模方面的内容。书中描述了分析理论，并结合MATLAB、Python、Maple和Java Applets进行了计算机实验。此次完全更新并扩展的新版还增加了更多的编程练习。主题与特点：描述了分析学中的基本概念，包括实数、复数、三角函数、序列与级数、函数、导数、积分以及曲线；讨论了重要的应用和技术，如分形和L-系统、数值积分、线性回归及微分方程；在附录中介绍了向量和矩阵代数的工具，还包含进一步的信息来解释连续性的概念；新增了对双曲函数、空间中的曲线与曲面、二阶微分方程以及摆动方程等内容（新）；在整个文本中都包含实验、练习题、定义和命题等元素；在书后附有额外的Python代码，还增加了MATLAB练习（新）；提供了网站上可供免费下载的相关资源，如Java Applets源代码，以及链接到互动在线学习材料。面向计算机科学学生与研究人员的核心需求编写，这本清晰易懂的教科书是本科课程“数值分析”的理想教材，并且也是一本绝佳的自学工具，来增强他们对数学分析的理解技能。

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