Povej prijatelju o tem izdelku:
Real Analysis: Foundations - Universitext Sergei Ovchinnikov 1st ed. 2021 edition
Naročeno iz oddaljenega skladišča
Božična darila lahko vrnete do 31. januarja
Kaj pravijo naše stranke:
Real Analysis: Foundations - Universitext
Sergei Ovchinnikov
This textbook explores the foundations of real analysis using the framework of general ordered fields, demonstrating the multifaceted nature of the area. Focusing on the logical structure of real analysis, the definitions and interrelations between core concepts are illustrated with the use of numerous examples and counterexamples. Readers will learn of the equivalence between various theorems and the completeness property of the underlying ordered field. These equivalences emphasize the fundamental role of real numbers in analysis.
Comprising six chapters, the book opens with a rigorous presentation of the theories of rational and real numbers in the framework of ordered fields. This is followed by an accessible exploration of standard topics of elementary real analysis, including continuous functions, differentiation, integration, and infinite series. Readers will find this text conveniently self-contained, with three appendices included after the main text, covering an overview of natural numbers and integers, Dedekind's construction of real numbers, historical notes, and selected topics in algebra.
Real Analysis: Foundations is ideal for students at the upper-undergraduate or beginning graduate level who are interested in the logical underpinnings of real analysis. With over 130 exercises, it is suitable for a one-semester course on elementary real analysis, as well as independent study.
178 pages, 13 Illustrations, black and white; XII, 178 p. 13 illus.
| Medij | Knjige Paperback Book (Knjiga z mehkimi platnicami in lepljenim hrbtom) |
| Izdano | 17. februarja 2021 |
| ISBN13 | 9783030647001 |
| Založniki | Springer Nature Switzerland AG |
| Strani | 178 |
| Dimenzije | 236 × 155 × 13 mm · 336 g |
| Jezik | Nemščina |
![Cover for Sergei Ovchinnikov · Functional Analysis: An Introductory Course - Universitext (Paperback Book) [2018 edition] (2018)](https://imusic.b-cdn.net/images/item/original/111/9783319915111.jpg?sergei-ovchinnikov-2018-functional-analysis-an-introductory-course-universitext-paperback-book&class=scaled&v=1582761879)
![Cover for Sergei Ovchinnikov · Measure, Integral, Derivative: A Course on Lebesgue's Theory - Universitext (Paperback Book) [2013 edition] (2013)](https://imusic.b-cdn.net/images/item/original/950/9781461471950.jpg?sergei-ovchinnikov-2013-measure-integral-derivative-a-course-on-lebesgue-s-theory-universitext-paperback-book&class=scaled&v=1425243539)
![Cover for Deborah Morrison · Brave Work in the Age of Climate Change: A Creative's Guide to Making Compelling Advertising and Brand Messages in Complicated Times (Paperback Book) [2022 edition] (2027)](https://imusic-static.b-cdn.net/images/missing-tall.png)
![Cover for David Kergel · Qualitative Educational and Bildungs Research (Hardcover Book) [2nd Second 2026 edition] (2027)](https://imusic.b-cdn.net/images/item/original/171/9783032186171.jpg?david-kergel-2027-qualitative-educational-and-bildungs-research-hardcover-book&class=scaled&v=1778118707)
![Cover for Martin O. Steinhauser · Computational Multiscale Modeling of Fluids and Solids: Theory and Applications in Computational Science - Graduate Texts in Physics (Hardcover Book) [Fourth Edition 2026 edition] (2027)](https://imusic.b-cdn.net/images/item/original/396/9783032255396.jpg?martin-o-steinhauser-2027-computational-multiscale-modeling-of-fluids-and-solids-theory-and-applications-in-computational-science-graduate-texts-in-physics-hardcover-book&class=scaled&v=1780455123)
![Cover for Alan Dix · Statistics for HCI: Making Sense of Quantitative Data - Synthesis Lectures on Human-Centered Informatics (Hardcover Book) [Second Edition 2026 edition] (2027)](https://imusic.b-cdn.net/images/item/original/798/9783032352798.jpg?alan-dix-2027-statistics-for-hci-making-sense-of-quantitative-data-synthesis-lectures-on-human-centered-informatics-hardcover-book&class=scaled&v=1790612312)
