| The Art of Proof: Basic Training for Deeper Mathematics Softcover Repri Edition Contributor(s): Beck, Matthias (Author), Geoghegan, Ross (Author) |
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ISBN: 1493940864 ISBN-13: 9781493940868 Publisher: Springer OUR PRICE: $37.95 Product Type: Paperback - Other Formats Published: August 2016 |
| Additional Information |
| BISAC Categories: - Mathematics | Logic - Mathematics | Algebra - General - Mathematics | Mathematical Analysis |
| Dewey: 510 |
| Series: Undergraduate Texts in Mathematics |
| Physical Information: 0.44" H x 7" W x 10" (0.81 lbs) 182 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |