The Art of Proof: Basic Training for Deeper Mathematics (Undergraduate Texts in Mathematics)
ISBN-13:
9781441970220
ISBN-10:
1441970223
Edition:
2010
Author:
Matthias Beck, Ross Geoghegan
Publication date:
2010
Publisher:
Springer
Format:
Hardcover
203 pages
Category:
Arts & Literature
,
Mathematical Analysis
,
Mathematics
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Book details
ISBN-13:
9781441970220
ISBN-10:
1441970223
Edition:
2010
Author:
Matthias Beck, Ross Geoghegan
Publication date:
2010
Publisher:
Springer
Format:
Hardcover
203 pages
Category:
Arts & Literature
,
Mathematical Analysis
,
Mathematics
Summary
The Art of Proof: Basic Training for Deeper Mathematics (Undergraduate Texts in Mathematics) (ISBN-13: 9781441970220 and ISBN-10: 1441970223), written by authors
Matthias Beck, Ross Geoghegan, was published by Springer in 2010.
With an overall rating of 4.0 stars, it's a notable title among other
Arts & Literature
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Description
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.
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