Real Analysis: Foundations - Universitext - Sergei Ovchinnikov - Grāmatas - Springer Nature Switzerland AG - 9783030647001 - 2021. gada 17. februāris
Ja vāks un nosaukums nesakrīt, pareizs ir nosaukums

Sergei Ovchinnikov
Real Analysis: Foundations - Universitext 1st ed. 2021 edition

Saņemt e-pastu, kad prece būs pieejama
Do you have a profile? Pierakstīties
Saņemiet paziņojumus par jauniem Sergei Ovchinnikov izdevumiem

Mūsu klienti saka:

14 dienu atgriešanas politika saskaņā ar Eiropas patērētāju tiesību aizsardzības likumu
Top vieta Trustpilot
Pievienot savam iMusic vēlmju sarakstam

Not rated yet

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.

Mediji Grāmatas     Paperback Book   (Grāmata ar mīksto vāku un līmēto muguru)
Izlaists 2021. gada 17. februāris
ISBN13 9783030647001
Izdevēji Springer Nature Switzerland AG
Lapas 178
Izmēri 236 × 155 × 13 mm   ·   336 g
Valoda Vācu  

Vairāk no Sergei Ovchinnikov

Rādīt visu

Vairāk no tā paša izdevēja

Skatīt visus Sergei Ovchinnikov ( piem., Paperback Book un Book )