Basic Real Analysis / by Houshang H. Sohrab
| データ種別 | 電子書籍 |
|---|---|
| 版 | 1st ed. 2003. |
| 出版者 | Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser |
| 出版年 | 2003 |
書誌詳細を非表示
| 書誌ID | OB01029112 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | License restrictions may limit access Summary: One of the bedrocks of any mathematics education, the study of real analysis introduces students both to mathematical rigor and to the deep theorems and counterexamples that arise from such rigor: for instance, the construction of number systems, the Cantor Set, the Weierstrass nowhere differentiable function, and the Weierstrass approximation theorem. Basic Real Analysis is a modern, systematic text that presents the fundamentals and touchstone results of the subject in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language. Key features include: * A broad view of mathematics throughout the book * Treatment of all concepts for real numbers first, with extensions to metric spaces later, in a separate chapter * Elegant proofs * Excellent choice of topics * Numerous examples and exercises to enforce methodology; exercises integrated into the main text, as well as at the end of each chapter * Emphasis on monotone functions throughout * Good development of integration theory * Special topics on Banach and Hilbert spaces and Fourier series, often not included in many courses on real analysis * Solid preparation for deeper study of functional analysis * Chapter on elementary probability * Comprehensive bibliography and index * Solutions manual available to instructors upon request By covering all the basics and developing rigor simultaneously, this introduction to real analysis is ideal for senior undergraduates and beginning graduate students, both as a classroom text or for self-study. With its wide range of topics and its view of real analysis in a larger context, the book will be appropriate for more advanced readers as well |
| 著者標目 | *Sohrab, Houshang H SpringerLink (Online service) |
| 件 名 | LCSH:Functions of real variables LCSH:Mathematical analysis LCSH:Measure theory LCSH:Mathematical logic FREE:Real Functions FREE:Analysis FREE:Measure and Integration FREE:Mathematical Logic and Foundations |
| 分 類 | LCC:QA331.5 DC23:515.8 |
| 巻冊次 | ISBN:9780817682323 RefWorks出力（各巻） print ; ISBN:9781461265030 RefWorks出力（各巻） print ; ISBN:9780817642112 RefWorks出力（各巻） print ; ISBN:9780817682330 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