D. J. H. Garling

A Course in Mathematical Analysis

• Gebundenes Buch

Produktbeschreibung

The first volume of three providing a full and detailed account of undergraduate mathematical analysis.

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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 318
• Erscheinungstermin: 14. Mai 2014
• Englisch
• Abmessung: 250mm x 175mm x 22mm
• Gewicht: 730g
• ISBN-13: 9781107032026
• ISBN-10: 1107032024
• Artikelnr.: 36685552

Autorenporträt

D. J. H. Garling is an Emeritus Reader in Mathematical Analysis at the University of Cambridge. He has 50 years' experience of teaching undergraduate students in most areas of pure mathematics, but particularly in analysis.

Inhaltsangabe

Introduction
Part I. Prologue: The Foundations of Analysis: 1. The axioms of set theory
2. Number systems
Part II. Functions of a Real Variable: 3. Convergent sequences
4. Infinite series
5. The topology of R
6. Continuity
7. Differentiation
8. Integration
9. Introduction to Fourier series
10. Some applications
Appendix: Zorn's lemma and the well-ordering principle
Index.

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Introduction; Part I. Prologue: The Foundations of Analysis: 1. The axioms of set theory; 2. Number systems; Part II. Functions of a Real Variable: 3. Convergent sequences; 4. Infinite series; 5. The topology of R; 6. Continuity; 7. Differentiation; 8. Integration; 9. Introduction to Fourier series; 10. Some applications; Appendix: Zorn's lemma and the well-ordering principle; Index.

Rezensionen

'Garling is a gifted expositor and the book under review really conveys the beauty of the subject, not an easy task. [It] comes with appropriate examples when needed and has plenty of well-chosen exercises as may be expected from a textbook. As the author points out in the introduction, a newcomer may be advised, on a first reading, to skip part one and take the required properties of the ordered real field as axioms; later on, as the student matures, he/she may go back to a detailed reading of the skipped part. This is good advice.' Felipe Zaldivar, MAA Reviews