Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics) - Softcover

Ross, Kenneth A.

 
9781441928115: Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics)
Softcover
ISBN 10: 1441928111 ISBN 13: 9781441928115
Verlag: Springer New York, 2010

Inhaltsangabe

Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

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Verlag
Springer New York
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
1441928111
ISBN 13 
9781441928115
Einband
Taschenbuch
Anzahl der Seiten
368
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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