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Problems in Real Analysis : Advanced Calculus on the Real Axis / by Teodora-Liliana Radulescu, Vicentiu D. Radulescu, Titu Andreescu
版 | 1st ed. 2009. |
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出版者 | New York, NY : Springer New York : Imprint: Springer |
出版年 | 2009 |
本文言語 | 英語 |
大きさ | XX, 452 p. 10 illus : online resource |
著者標目 | *Radulescu, Teodora-Liliana author Radulescu, Vicentiu D author Andreescu, Titu author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Functions of real variables LCSH:Numerical analysis LCSH:Differential equations LCSH:Mathematics FREE:Analysis FREE:Real Functions FREE:Numerical Analysis FREE:Differential Equations FREE:Applications of Mathematics |
一般注記 | Sequences, Series, and Limits -- Sequences -- Series -- Limits of Functions -- Qualitative Properties of Continuous and Differentiable Functions -- Continuity -- Differentiability -- Applications to Convex Functions and Optimization -- Convex Functions -- Inequalities and Extremum Problems -- Antiderivatives, Riemann Integrability, and Applications -- Antiderivatives -- Riemann Integrability -- Applications of the Integral Calculus -- Basic Elements of Set Theory Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis. Key features: *Uses competition-inspired problems as a platform for training typical inventive skills; *Develops basic valuable techniques for solving problems in mathematical analysis on the real axis and provides solid preparation for deeper study of real analysis; *Includes numerous examples and interesting, valuable historical accounts of ideas and methods in analysis; *Offers a systematic path to organizing a natural transition that bridges elementary problem-solving activity to independent exploration of new results and properties HTTP:URL=https://doi.org/10.1007/978-0-387-77379-7 |
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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 | 9780387773797 |
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電子リソース |
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EB00237600 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000118589 |
ISBN | 9780387773797 |
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※2017年9月4日以降