The Art of Proof

Basic Training for Deeper Mathematics
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Kurzbeschreibung des Verlags:

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. 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.

Mehr Informationen
ReiheUndergraduate Texts in Mathematics
ISBN 9781493940868
Sprache Englisch
Ausgabe Softcover reprint of the original 1st ed. 2010
Erscheinungsdatum 23.08.2016
Umfang 182 Seiten
Genre Mathematik/Grundlagen
Format Taschenbuch
Verlag Springer US
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