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How to Prove It : a Structured Approach by Velleman, Daniel J. is a mathematics available to read on EtoBox.

What is How to Prove It : a Structured Approach about?

Many Students Have Trouble The First Time They Take A Mathematics Course In Which Proofs Play A Significant Role. This Book Will Prepare Students For Such Courses By Teaching Them Techniques For Writing And Reading Proofs. No Background Beyond High School Mathematics Is Assumed. The Book Begins With Logic And Set Theory, To Familiarize Students With The Language Of Mathematics And How It Is Interpreted. This Understanding Of The Language Of Mathematics Serves As The Basis For A Detailed Discussion Of The Most Important Techniques Used In Proofs, When And How To Use Them, And How They Are Combined To Produce Complex Proofs. Material On The Natural Numbers, Relations, Functions, And Infinite Sets Provides Practice In Writing And Reading Proofs, As Well As Supplying Background That Will Be Valuable In Most Theoretical Mathematics Courses.--jacket. 1. Sentential Logic. 1.1. Deductive Reasoning And Logical Connectives. 1.2. Truth Tables. 1.3. Variables And Sets. 1.4. Operations On Sets. 1.5. The Conditional And Biconditional Connectives -- 2. Quantificational Logic. 2.1. Quantifiers. 2.2. Equivalences Involving Quantifiers. 2.3. More Operations On Sets -- 3. Proofs. 3.1. Proof Strategie

Who reads How to Prove It : a Structured Approach?

Author

Velleman, Daniel J.

Publisher

Cambridge University; Cambridge University Press; Brand: Cambridge University Press

Published

1994

Language

EN

ISBN

9780521441162

Category

mathematics

Subjects

Mathematics, Stem

Rating

4.21 / 5 (504 ratings)

Updated

2026-03-13