Mohlo by sa vám tiež páčiť

Viac informácií o knihe Real Analysis: Foundations

• Parametre knihy
• Anotácia kniha
• Obľúbené z iného súdka

Nákupom získate 122 bodov

Anotácia knihy

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.

Parametre knihy

• Celý názov: Real Analysis: Foundations
• Autor: Sergei Ovchinnikov
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 178
• EAN: 9783030647001
• ISBN: 3030647005
• ID: 36216037
• Nakladateľ: Springer Nature Switzerland AG
• Hmotnosť: 454 g
• Rozmery: 235 × 155 × 11 mm
• Dátum vydania: 17. February 2021

Obľúbené z iného súdka

---

---

---