| 書目名稱 | The Kurzweil-Henstock Integral for Undergraduates | | 副標(biāo)題 | A Promenade Along th | | 編輯 | Alessandro Fonda | | 視頻video | http://file.papertrans.cn/913/912674/912674.mp4 | | 概述 | First undergraduate book on the Kurzweil-Henstock integral.Theory is developed also for functions of several variables and for differential forms.Didactical exposition of the subject.Avoid as much as | | 叢書名稱 | Compact Textbooks in Mathematics | | 圖書封面 |  | | 描述 | This beginners‘ course provides students with a general and sufficiently easy to grasp theory of the Kurzweil-Henstock integral. The integral is indeed more general than Lebesgue‘s in R.N., but its construction is rather simple, since it makes use of Riemann sums?which, being geometrically viewable, are more easy to be understood.?The theory is developed also for functions of several variables, and for differential forms, as well, finally leading to the celebrated Stokes–Cartan formula. In the appendices, differential calculus in R.N.?is reviewed, with the theory of differentiable manifolds. Also, the Banach–Tarski paradox is presented here, with a complete proof, a rather peculiar argument for this type of monographs.. | | 出版日期 | Textbook 2018 | | 關(guān)鍵詞 | integration; kurzweil–henstock integral; riemann sums; fundamental theorem of calculus; lebesgue integra | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-95321-2 | | isbn_softcover | 978-3-319-95320-5 | | isbn_ebook | 978-3-319-95321-2Series ISSN 2296-4568 Series E-ISSN 2296-455X | | issn_series | 2296-4568 | | copyright | Springer Nature Switzerland AG 2018 |
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