Verwandte Artikel zu Elementary Analysis (Undergraduate Texts in Mathematics)
Inhaltsangabe
Designed for students having no previous experience with rigorous proofs, this text can be used immediately after standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, as well as for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied, while many abstract ideas, such as metric spaces and ordered systems, are avoided completely. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics, and optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.
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Críticas
From the reviews: K.A. Ross Elementary Analysis The Theory of Calculus "This book is intended for the student who has a good, but naïve, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis, such as continuity, convergence of sequences and series of numbers, and convergence of sequences and series of functions. There are many nontrivial examples and exercises, which illuminate and extend the material. The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and, in this reviewer’s opinion, has succeeded admirably."—MATHEMATICAL REVIEWS "This book occupies a niche between a calculus course and a full-blown real analysis course. ... I think the book should be viewed as a text for a bridge or transition course that happens to be about analysis ... . Lots of counterexamples. Most calculus books get the proof of the chain rule wrong, and Ross not only gives a correct proof but gives an example where the common mis-proof fails." (Allen Stenger, The Mathematical Association of America, June, 2008)
Reseña del editor
Designed for students having no previous experience with rigorous proofs, this text can be used immediately after standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, as well as for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied, while many abstract ideas, such as metric spaces and ordered systems, are avoided completely. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics, and optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.
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- VerlagSpringer
- Erscheinungsdatum2010
- ISBN 10 1441928111
- ISBN 13 9781441928115
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten368
- Kontakt zum HerstellerNicht verfügbar
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Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics)
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Paperback. Zustand: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 1.36. Artikel-Nr. G1441928111I3N00
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Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics)
Anbieter: ThriftBooks-Dallas, Dallas, TX, USA
Verkäuferbewertung 5 von 5 Sternen
Paperback. Zustand: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 1.36. Artikel-Nr. G1441928111I3N00
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics)
Anbieter: ThriftBooks-Atlanta, AUSTELL, GA, USA
Verkäuferbewertung 5 von 5 Sternen
Paperback. Zustand: Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 1.36. Artikel-Nr. G1441928111I4N00
Anzahl: 1 verfügbar