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Book Cover
E-book
Author Fuchs, Shay, author

Title Introduction to proofs and proof strategies / Shay Fuchs, University of Toronto
Published Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2023

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Description 1 online resource (xiii, 342 pages)
Series Cambridge mathematical textbooks
Cambridge mathematical textbooks
Summary 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
Notes Vendor-supplied metadata
Subject Proof theory -- Textbooks
Logic, Symbolic and mathematical -- Textbooks
Logic, Symbolic and mathematical.
Proof theory.
Genre/Form Textbooks.
Form Electronic book
ISBN 9781009089005
1009089005