ASYMPTOTIC METHODS FOR INTEGRALS(SERIES IN ANALYSIS)

积分渐进方法

数学分析

原   价:
2301.00
售   价:
1841.00
优惠
平台大促 低至8折优惠
发货周期:预计3-5周发货
作      者
出  版 社
出版时间
2014年11月03日
装      帧
精装
ISBN
9789814612159
复制
页      码
628
语      种
英文
综合评分
暂无评分
我 要 买
- +
库存 30 本
  • 图书详情
  • 目次
  • 买家须知
  • 书评(0)
  • 权威书评(0)
图书简介
This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson’s lemma, Laplace’s method, the saddle point and steepest descent methods, stationary phase and Darboux’s method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals. The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particulars for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on. Key Features: ○ The book gives a complete overview of the classical asymptotic methods for integrals ○ The many examples give insight in the behavior of the well-known special functions ○ The detailed explanations on how to obtain the coefficients in the expansions make the results useful for numerical applications, in particular, for computing special functions ○ The many results on asymptotic representations of special functions supplement and extend those in the NIST Handbook of Mathematical Functions
馆藏图书馆
Harvard Library
本书暂无推荐
本书暂无推荐
看了又看
  • 上一个
  • 下一个