Introduction to Proofs and Proof Strategies (Paperback) (ISBN-13: 9781009096287)

Emphasizing the creative nature of mathematics, this conversational textbook guides students through the process of discovering a proof. The material revolves around possible strategies to approaching a problem without classifying 'types of proofs' or providing proof templates. Instead, it helps students develop the thinking skills needed to tackle mathematics when there is no clear algorithm or recipe to follow. Beginning by discussing familiar and fundamental topics from a more theoretical perspective, the book moves on to inequalities, induction, relations, cardinality, and elementary number theory. The final supplementary chapters allow students to apply these strategies to the topics they will learn in future courses. With its focus on 'doing mathematics' through 200 worked examples, over 370 problems, illustrations, discussions, and minimal prerequisites, this course will be indispensable to first- and second-year students in mathematics, statistics, and computer science. Instructor resources include solutions to select problems.

Author: Shay Fuchs
ISBN-10: 1009096281
ISBN-13: 9781009096287
Publisher: Cambridge University Press
Language: English
Published: 06/22/2023
Pages: 349
Format: Paperback
Weight: 1.37lbs
Size: 10.00h x 7.00w x 0.74d