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Lecture Notes for MATH 230 - VectorCalculus&LinearAlgebra I at Yale (Yale)

Notes Information

Material Type:Class Note
Professor:Staff
Class:MATH 230 - VectorCalculus&LinearAlgebra I
Subject:Mathematics
University:Yale University
Term:Fall 2004
Keywords:
  • Standard of Proof
  • Contrapositive
  • Immediately
  • Definitions
  • Contradiction
  • Induction Step
  • Appreciated
  • Consequences
  • Rational Number
  • Generalized
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Sample Document Text

Notes on Proofs v. 1.0 by Greg Friedman September 5, 2004 Contents 1 Introduction - updated September 17, 2004 1 1.1 What is not in these notes - updated September 17, 2004 . . . . . . . . . . 2 1.2 READ PROOFS, READ PROOFS, READ PROOFS - updated September 17, 2004 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Write proofs - updated September 17, 2004 . . . . . . . . . . . . . . . . . . . 2 2 General strategies - updated September 17, 2004 2 2.1 Categorize - updated September 2, 2004 . . . . . . . . . . . . . . . . . . . . 3 2.2 Context - updated September 17, 2004 . . . . . . . . . . . . . . . . . . . . . 3 2.3 How to proceed - updated September 17, 2004 . . . . . . . . . . . . . . . . . 3 2.3.1 Know the words . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.3.2 Know what you're trying to prove . . . . . . . . . . . . . . . . . . . . 3 2.3.3 Know what you're starting with . . . . . . . . . . . . . . . . . . . . . 3 2.3.4 Build a bridge . . . ...

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