Skip to main content Accessibility help
Internet Explorer 11 is being discontinued by Microsoft in August 2021. If you have difficulties viewing the site on Internet Explorer 11 we recommend using a different browser such as Microsoft Edge, Google Chrome, Apple Safari or Mozilla Firefox.

Online ordering is currently unavailable due to technical issues. We apologise for any delays responding to customers while we resolve this. For further updates please visit our website https://www.cambridge.org/news-and-insights/technical-incident

Home
> Subjects
> Introduction to Proofs and Proof Strategies

Introduction to Proofs and Proof Strategies

Authors

Shay Fuchs, University of Toronto
Published 2023

Description

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,…

  • Get access
  • Add bookmark
  • Cite
  • Share

Key features

  • Helps students discover possible strategies to approaching a problem and develop the thinking skills needed to tackle mathematics when there is no clear algorithm or recipe to follow
  • Focuses on 'doing mathematics', rather than on mathematical logic and proof-templates, through 200 worked examples, 100 clarifying illustrations, discussions, and over 370 problems ranging from concept checks to full proofs
  • Allows students time to adapt to the increased challenge of writing mathematical proofs and thinking mathematically before being exposed to higher level mathematical formalism
  • Aids in the transition from lower-level mathematics, focused on computations, to advanced material, focused on theory and proofs, by explaining familiar and fundamental topics from a theoretical perspective
  • Shows how readers can apply strategies they learned to more advanced topics by including supplemental chapters in elementary combinatorics, limits and continuity, complex numbers, and linear algebra

About the book

Access options

Review the options below to login to check your access.

Purchase options

There are no purchase options available for this title.

Have an access code?

To redeem an access code, please log in with your personal login.

Log in

If you believe you should have access to this content, please contact your institutional librarian or consult our FAQ page for further information about accessing our content.

Also available to purchase from these educational ebook suppliers

Curated content

Related content

AI generated results by Discovery for publishers [opens in a new window]

About Contact and help Publish with us Accessibility Legal notices
Join us online
For research journals and books visit Cambridge Core [Opens in a new window]
© Cambridge University Press 2024