Mathematical Analysis II / by Claudio Canuto, Anita Tabacco
| データ種別 | 電子書籍 |
|---|---|
| 版 | Second Edition. |
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2015 |
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| 書誌ID | OB01016734 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | 1 Numerical series -- 2 Series of functions and power series -- 3 Fourier series -- 4 Functions between Euclidean spaces -- 5 Differential calculus for scalar functions -- 6 Differential calculus for vector-valued functions -- 7 Applying differential calculus -- 8 Integral calculus in several variables -- 9 Integral calculus on curves and surfaces -- 10 Ordinary differential equations -- 11 A.1 Complements on differential calculus -- 12 A.2 Complements on integral calculus -- 13 Basic definitions and formulas. License restrictions may limit access Summary: The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book’s structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, familiarise with the corresponding key techniques and find the proofs of the main results. The second level enables the strongly motivated reader to explore further into the subject, by studying also the material contained in the appendices. Definitions are enriched by many examples, which illustrate the properties discussed. A host of solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a second course of Mathematical Analysis |
| 著者標目 | *Canuto, Claudio Tabacco, Anita SpringerLink (Online service) |
| 統一書名標目 | UNITEXT, |
| 件 名 | LCSH:Mathematics LCSH:Integral equations LCSH:Differential equations, partial FREE:Mathematics FREE:Partial Differential Equations FREE:Integral Equations |
| 分 類 | LCC:QA370-380 DC23:515.353 |
| 巻冊次 | ISBN:9783319127576 RefWorks出力（各巻） print ; ISBN:9783319127569 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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