| 书目名称 | Fractional and Multivariable Calculus | | 副标题 | Model Building and O | | 编辑 | A.M. Mathai,H.J. Haubold | | 视频video | http://file.papertrans.cn/348/347416/347416.mp4 | | 概述 | Broadens understanding of research fields through the framework of fractional and multivariate calculus.Reinforces basic principles of fractional calculus.Maximizes readers insight into mathematical m | | 丛书名称 | Springer Optimization and Its Applications | | 图书封面 |  | | 描述 | .This textbook presents a rigorous approach to multivariable calculus in the context of model building and optimization problems. This comprehensive overview is based on lectures given at five SERC Schools from 2008 to 2012 and covers a broad range of topics that will enable readers to understand and create deterministic and nondeterministic models. Researchers, advanced undergraduate, and graduate students in mathematics, statistics, physics, engineering, and biological sciences will find this book to be a valuable resource for finding appropriate models to describe real-life situations..The first chapter begins with an introduction to fractional calculus moving on to discuss fractional integrals, fractional derivatives, fractional differential equations and their solutions. Multivariable calculus is covered in the second chapter and introduces the fundamentals of multivariable calculus (multivariable functions, limits and continuity, differentiability, directionalderivatives and expansions of multivariable functions). Illustrative examples, input-output process, optimal recovery of functions and approximations are given; each section lists an ample number of exercises to height | | 出版日期 | Textbook 2017 | | 关键词 | Mittag-Leer and Wright‘s functions; fractional order dierential and integral equations; fractional cal | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-59993-9 | | isbn_softcover | 978-3-319-86754-0 | | isbn_ebook | 978-3-319-59993-9Series ISSN 1931-6828 Series E-ISSN 1931-6836 | | issn_series | 1931-6828 | | copyright | Springer International Publishing AG 2017 |
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