Several Real Variables / by Shmuel Kantorovitz
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2016 |
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| 書誌ID | OB01018612 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | Continuity -- Derivation -- Implicit Functions -- Integration -- Solutions. . License restrictions may limit access Summary: This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as: •The p-norms on vector space and their equivalence •The Weierstrass and Stone-Weierstrass approximation theorems •The differential as a linear functional; Jacobians, Hessians, and Taylor's theorem in several variables •The Implicit Function Theorem for a system of equations, proved via Banach’s Fixed Point Theorem •Applications to Ordinary Differential Equations •Line integrals and an introduction to surface integrals This book features numerous examples, detailed proofs, as well as exercises at the end of sections. Many of the exercises have detailed solutions, making the book suitable for self-study. Several Real Variables will be useful for undergraduate students in mathematics who have completed first courses in line ar algebra and analysis of one real variable |
| 著者標目 | *Kantorovitz, Shmuel SpringerLink (Online service) |
| 統一書名標目 | Springer Undergraduate Mathematics Series, |
| 件 名 | LCSH:Mathematics FREE:Real Functions |
| 分 類 | LCC:QA331.5 DC23:515.8 |
| 巻冊次 | ISBN:9783319279565 RefWorks出力（各巻） print ; ISBN:9783319279558 RefWorks出力（各巻） print ; ISBN:9783319279572 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