Product Design, Manufacturing & Innovation Resources
家 » 在线工具 » 美国国家标准与技术研究院数字数学函数库(DLMF)

美国国家标准与技术研究院数字数学函数库(DLMF)

美国国家标准与技术研究院 (NIST) 数字数学函数图书馆 (DLMF) 是权威的、经过同行评审的《阿布拉莫维茨和斯特根数学函数手册》的继任者。它提供了一个全面的数字存储库,其中包含高等分析中使用的特殊函数的数学公式、恒等式和性质。该网站提供:

  • 贝塞尔函数、艾里函数和超几何函数的严格定义和符号。
  • 用于分析功能行为的交互式 3D 可视化和可下载数据。
  • 对渐近展开式、递推关系和数值方法进行了详尽的记录。

即使您并非数学专家,或者很少使用某些复杂的函数,这本书也是一份极其宝贵的数学资源——毕竟多年过去了。它包含了商业专家书籍的全部内容,甚至更多,却无需支付高昂的价格。

提示: 准备好使用 乳胶 格式(如果您还不熟悉 LaTeX,请使用我们专门的 LaTeX 文章和工具)。

  • 在大型跨学科研究项目中规范数学符号。
  • 在科学计算软件开发中实现高精度数学库。
  • 验证制造过程优化中使用的专用模型的收敛性和稳定性。
学科: 应用数学、物理学、工程学、数值分析、科学计算。
Wolfram MathWorld、Abramowitz 和 Stegun 的 Wolfram Functions 是一个免费的替代方案。
NIST Digital Library of Mathematical Functions compared with Wolfram MathWorld, Abramowitz and Stegun, and Wolfram Functions
NIST DLMFWolfram MathWorldAbramowitz and StegunWolfram Functions
Origin and authority: NIST released the DLMF online in 2010 as the successor to the 1964 handbook. About 50 external researchers contributed and NIST staff edited it. Cambridge University Press published a printed subset.Origin and authority: Eric W. Weisstein created the site and largely wrote it, starting in 1995 from personal study notes. Wolfram Research sponsors it and holds a license to it.Origin and authority: The handbook was published in 1964 by the National Bureau of Standards, now NIST, and edited by Milton Abramowitz and Irene Stegun. It runs to about 1,046 pages.Origin and authority: The site belongs to Wolfram Research and presents itself as the largest formula compendium for mathematical functions on the web.
Content and form: The content covers special functions with interactive graphics, a math-based search engine, and links to references and software.Content and form: It is an online encyclopedia covering a wide range of mathematics, not only special functions. It also appeared in print and on CD-ROM as the CRC Concise Encyclopedia of Mathematics.Content and form: The handbook gives definitions, identities, approximations, plots and tables of values. NIST noted that more than half the pages were tables that are rarely needed with modern computers.Content and form: Formulas are available in Wolfram Language StandardForm, MathML and ASCII, and the site shows how functions relate to each other. Wolfram Notebooks and PDF versions can be downloaded.
许可证和费用: NIST claims copyright over the DLMF, unlike the public-domain original handbook.许可证和费用: Access is free. It returned to free public access in November 2001 after a legal dispute with CRC Press, which holds broad print rights.许可证和费用: As a work of federal employees it is not protected by copyright in the United States. Several scans are online, and Dover issued a reprint.
Accuracy and maintenance: The site is active and has been online since November 1999.Accuracy and maintenance: Many printings added corrections, the tenth in 1972 among them, but some errata remain. A typo on page 886 spread into the name Bode rule for Boole rule.Accuracy and maintenance: The About page says gaps in the content may point to areas needing further research.

涵盖的主题: NIST 数字图书馆、数学函数、Abramowitz 和 Stegun、贝塞尔函数、艾里函数、超几何函数、渐近展开、递推关系、数值方法、交互式可视化、数学符号、科学计算、收敛性、稳定性、软件开发、跨学科研究、LaTeX、数学库、ISO 80000、ISO 31、ISO/IEC 25010、ISO 5725 和 IEEE 754。

更多的 计算, 资源 工具

请推荐您最喜欢的在线工具:

您是否知道有比上面列出的网站更好、更互补或可以替代的网站?

> 在此处提出建议 <

第十年 周年纪念日

只有注册会员才能免费获得 100% 的全尺寸图片和下载。.

> 登录 <