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From Calculus to Analysis / by Steen Pedersen
版 | 1st ed. 2015. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2015 |
大きさ | XIX, 342 p. 48 illus., 14 illus. in color : online resource |
著者標目 | *Pedersen, Steen author SpringerLink (Online service) |
件 名 | LCSH:Integral equations LCSH:Algebra LCSH:Mathematical analysis FREE:Integral Equations FREE:Algebra FREE:Analysis |
一般注記 | Part I -- Limits -- Introduction to Continuity -- Sets of Real Numbers -- Counting -- Continuity -- Derivatives and their Applications -- The Riemann Integral -- The Logarithm and the Exponential Function -- Part II -- Convergence of Sequences -- Series -- Trigonometric Functions and Applications -- Fourier Series -- Topology -- Appendices This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section HTTP:URL=https://doi.org/10.1007/978-3-319-13641-7 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319136417 |
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電子リソース |
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EB00209023 |
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※2017年9月4日以降