Kniha Lectures on Real Analysis Finnur Larusson

Lectures on Real Analysis

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-18 dnů
4 243
This is a rigorous introduction to real analysis for undergraduate students, starting from the axiom...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2012
Stránek
128
EAN
9781107026780
ISBN
1107026784
Enbook ID
01262937
Hmotnost
320
Rozměry
160 x 229 x 12

Kompletní popis

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.

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