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Item Details
| Title:
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THE ART OF PROOF
BASIC TRAINING FOR DEEPER MATHEMATICS |
| By: |
Matthias Beck, Ross Geoghegan |
| Format: |
Hardback |
| List price:
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£35.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
1441970223 |
| ISBN 13: |
9781441970220 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
1 August, 2010 |
| Edition: |
2010 ed. |
| Series: |
Undergraduate Texts in Mathematics |
| Pages: |
182 |
| Description: |
Written to accompany a one- or two-semester course, this text combines rigor and wit to cover a plethora of topics from integers to uncountable sets. It teaches methods such as axiom, theorem, and proof through the mathematics rather than in abstract isolation. |
| Synopsis: |
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. |
| Illustrations: |
3 Tables, black and white; XXII, 182 p. 23 illus. |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Returnable |
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