From Calculus to Analysis / by Steen Pedersen
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2015 |
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| 書誌ID | OB01016628 |
|---|---|
| 本文言語 | 英語 |
| 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. License restrictions may limit access Summary: 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 |
| 著者標目 | *Pedersen, Steen SpringerLink (Online service) |
| 件 名 | LCSH:Integral equations LCSH:Algebra LCSH:Global analysis (Mathematics) FREE:Integral Equations FREE:Algebra FREE:Analysis |
| 分 類 | LCC:QA431 DC23:515.45 |
| 巻冊次 | ISBN:9783319136417 RefWorks出力（各巻） print ; ISBN:9783319136400 RefWorks出力（各巻） print ; ISBN:9783319136424 RefWorks出力（各巻） print ; ISBN:9783319381367 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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※2020年8月16日以降