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Lieferstatus:	i.d.R. innert 7-14 Tagen versandfertig
Veröffentlichung:	Juni 2012
Genre:	Schulbücher
	MATHEMATICS / Mathematical Analysis / Real analysis, real variables
ISBN:	9781107026780
EAN-Code:	9781107026780
Verlag:	Cambridge Academic
Einband:	Gebunden
Sprache:	English
Serie:	#21 - Australian Mathematical Societ
Dimensionen:	H 234 mm / B 155 mm / D 13 mm
Gewicht:	320 gr
Illustration:	200 exercises, Worked examples or Exercises
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author's exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis.