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Advanced Mathematical Models in Science and Engineering

机译:科学与工程学中的高级数学模型

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Mathematics, is said to be the mother of all sciences. Even things, which are very abstract, become more discernable and understandable when expressed using some mathematical equations, functions or numbers. The book on "Advanced Mathematical Models in Science and Engineering" provides a comprehensive coverage of the nuances of mathematics, which would be very useful for engineers and scientists.The book contains nine chapters and five appendices running to over 700 pages. The reviewer is delighted to have the opportunity to review this classical book.The first chapter is very brief and to the point, and deals with ordinary differential equations. The coverage becomes more and more exhaustive as the author deals with more complex mathematical problems. Series solutions of ordinary differential equations have been presented in Chapter 2. Many engineering have problems similar to those associated with wave propagation in soil layers have their solutions as Complex Bessel Founctions. Asymptotic approximations, integrations and expansion of Bessel functions and Legendric functions are deal in detail in Chapter.
机译:据说数学是所有科学的母亲。即使是非常抽象的事物,使用一些数学方程式,函数或数字表示时,也会变得更易于辨认和理解。关于“科学和工程学中的高级数学模型”的书全面介绍了数学的细微差别,这对工程师和科学家将非常有用。该书包含9章和5个附录,长达700多页。审稿人很高兴有机会对这本经典著作进行审阅。第一章非常简短,很直率,涉及到常微分方程。随着作者处理更复杂的数学问题,覆盖范围变得越来越详尽。第2章介绍了常微分方程的级数解。许多工程方面的问题与土层中波传播相关的问题类似,其解决方案为复数贝塞尔函数。本章将详细介绍Bessel函数和Legendric函数的渐近逼近,积分和展开。

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