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Single Variable Differential and Integral Calculus : Mathematical Analysis / by Elimhan Mahmudov
版 | 1st ed. 2013. |
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出版者 | (Paris : Atlantis Press : Imprint: Atlantis Press) |
出版年 | 2013 |
大きさ | XVI, 373 p : online resource |
著者標目 | *Mahmudov, Elimhan author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Differential equations FREE:Analysis FREE:Differential Equations |
一般注記 | Introduction to Numbers and Set Theory -- Sequences and Series -- Limits and Continuity of Functions -- Differential Calculus -- Some Basic Properties of Differentiable Functions -- Polynomials and Interpolations -- Applications of Differential Calculus to Limit Calculations and Extremum Problems -- The Indefinite Integral -- The Definite Integral -- Applications of the Definite Integral The book “Single variable Differential and Integral Calculus” is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineering field. This book is unique in the field of mathematical analysis in content and in style. It aims to define, compare and discuss topics in single variable differential and integral calculus, as well as giving application examples in important business fields. Some elementary concepts such as the power of a set, cardinality, measure theory, measurable functions are introduced. It also covers real and complex numbers, vector spaces, topological properties of sets, series and sequences of functions (including complex-valued functions and functions of a complex variable), polynomials and interpolation and extrema of functions. Although analysis is based on the single variable models and applications, theorems and examples are all set to be converted to multi variable extensions. For example, Newton, Riemann, Stieltjes and Lebesque integrals are studied together and compared HTTP:URL=https://doi.org/10.2991/978-94-91216-86-2 |
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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 | 9789491216862 |
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EB00207101 |
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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 | 4000117279 |
ISBN | 9789491216862 |
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※2017年9月4日以降