The Art of Proof: Basic Training for Deeper Mathematics (Undergraduate Texts in Mathematics). [Neubuch].

Idioma: inglés

Editorial: Springer, 2010

1441970223 / 9781441970220

Serie: Libro 39 de 170 - Undergraduate Texts in Mathematics

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Librería: ANTIQUARIAT Franke BRUDDENBOOKS, Lübeck, AlemaniaANTIQUARIAT Franke BRUDDENBOOKS

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203 S. Buch ist neu, aus priv. Vorbesitz, ungelesen. -----Inhalt. The topics covered include: integers, induction, algorithms, real numbers, rational numbers, modular arithmetic, limits, and uncountable sets. Some of the proofs are presented in detail, while others (some with hints) may be assigned to the student or presented by the instructor.The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student's previous intuitive knowledge is placed on solid intellectual ground. The topics covered include: integers, induction, algorithms, real numbers, rational numbers, modular arithmetic, limits, and uncountable sets. Methods, such as axiom, theorem and proof, are taught while discussing the mathematics rather than in abstract isolation. Some of the proofs are presented in detail, while others (some with hints) may be assigned to the student or presented by the instructor. The authors recommend that the two parts of the book -- Discrete and Continuous -- be given equal attention. The book ends with short essays on further topics suitable for seminar-style presentation by small teams of students, either in class or in a mathematics club setting. These include: continuity, cryptography, groups, complex numbers, ordinal number, and generating functions. The Discrete.- Integers.- Natural Numbers and Induction.- Some Points of Logic.- Recursion.- Underlying Notions in Set Theory.- Equivalence Relations and Modular Arithmetic.- Arithmetic in Base Ten.- The Continuous.- Real Numbers.- Embedding Z in R.- Limits and Other Consequences of Completeness.- Rational and Irrational Numbers.- Decimal Expansions.- Cardinality.- Final Remarks.- Further Topics.- Continuity and Uniform Continuity.- Public-Key Cryptography.- Complex Numbers.- Groups and Graphs.- Generating Functions.- Cardinal Number and Ordinal Number.- Remarks on Euclidean Geometry. ISBN: 9781441970220 Due to new EU packaging regulations, we are currently unable to ship to many EU countries. Shipping to Germany, the Netherlands, Ireland, Finland, and the Baltic states is possible. Deliveries to border-based parcel lockers or cross-border parcel forwarding services remain possible. Shipping to all countries outside the EU also remains possible. Sprache: Englisch Gewicht in Gramm: 567.…

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Título
The Art of Proof: Basic Training for Deeper Mathematics (Undergraduate Texts in Mathematics). [Neubuch].
Autor
Beck, Matthias und Ross Geoghegan:
Editorial
Springer
Año de publicación
2010
Estado
Neu
Encuadernación
Gebundene Ausgabe, Gr. 8°
Idioma
inglés
ISBN 10
1441970223
ISBN 13
9781441970220
Edición
2010.
Peso del artículo
567 gramos
Serie
Libro 39 de 170: Undergraduate Texts in Mathematics
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ANTIQUARIAT Franke BRUDDENBOOKS

Lübeck, Alemania

Vendedor de 5 estrellas

Vendedor de IberLibro desde 17 de enero de 2005

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ArtículoDe 12 a 24 días hábilesDe 6 a 12 días hábiles
Primer artículoEUR 14,61EUR 30,91
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