<i>The Art of Proof</i> 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)

Biographies & Memoirs

Matthias Beck

Ross Geoghegan

Arts & Literature

Springer

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Books by Ross Geoghegan

See the best price to sell, buy, or rent books by Ross Geoghegan. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

The Art of Proof: Basic Training for Deeper Mathematics (Undergraduate Texts in Mathematics)