Skip to main content

Methods of Proof

  • Chapter
  • First Online:
Putnam and Beyond
  • 4511 Accesses

Abstract

The first chapter is introductory, it explains some methods of mathematical proof: argument by contradiction, the principle of mathematical induction, the pigeonhole principle, the use of an ordering on a set, and the principle of invariance.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Răzvan Gelca .

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

Gelca, R., Andreescu, T. (2017). Methods of Proof. In: Putnam and Beyond. Springer, Cham. https://doi.org/10.1007/978-3-319-58988-6_1

Download citation

Publish with us

Policies and ethics