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.
The Art of Proof: Basic Training for Deeper Mathematics (Undergraduate Texts in Mathematics)
Author: Matthias Beck
Category: Science & Math
File size: 4,861 KB
File size: 182 pages
Publisher: Springer; 2010 edition (August 17, 2010)
Publication date: August 17, 2010
NOTICE: This is an Ebook, not a physical book. We will not refund if you make a mistake.
100% of our products have file. You will receive the download link immediately, after you finish the payment.
By default, you will get pdf or epub files. If you need to change the format, please contact us.