Real Analysis via Sequences and Series (Undergraduate Texts in Mathematics) - Hardcover

Van Brunt, Bruce; Little, Charles H.C.; Teo, Kee L.

 
9781493926503: Real Analysis via Sequences and Series (Undergraduate Texts in Mathematics)
Hardcover
ISBN 10: 1493926500 ISBN 13: 9781493926503
Verlag: Springer, 2015

Inhaltsangabe

This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the material by motivating definitions, results and proofs. Simple examples are provided to illustrate new material and exercises are included at the end of most sections. Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis’s formula and Stirling’s formula, proofs of the irrationality of π and e and a treatment of Newton’s method as a special instance of finding fixed points of iterated functions.

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Über die Autorin bzw. den Autor

Charles Little, Teo Kee and Bruce van Brunt are professors of Mathematics at Massey University in New Zealand.

Von der hinteren Coverseite

This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the material by motivating definitions, results, and proofs. Simple examples are provided to illustrate new material and exercises are included at the end of most sections. Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis’s formula and Stirling’s formula, proofs of the irrationality of p and e, and a treatment of Newton’s method as a special instance of finding fixed points of iterated functions.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2015
Sprache
Englisch
ISBN 10 
1493926500
ISBN 13 
9781493926503
Einband
Tapa dura
Anzahl der Seiten
490
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
Deutschland

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Softcover