Transcription of INTRODUCTION TO REAL ANALYSIS - Willkommen
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INTRODUCTION TO REAL ANALYSIS - Willkommen
INTRODUCTIONTOREAL ANALYSISM ichael J. SchrammLeMoyne CollegePRENTICE HALLU pper Saddle River, New Jersey 07458 ContentsPreface xPART ONE: PRELIMINARIESC hapter 1: Building Proofs A Quest for Certainty Proofs as Chains Statements Connectives Proof by Contradiction Caution! The Siren Song of Contradiction Disjoined Conclusions Proof by Cases Disjoined Hypotheses Open Statements and Quantifiers Proving Universal Statements Proving Existential Statements Negating a Quantified Statement The Forward-Backward Method A Bigger and Better Example Sets A Glossary Plain as the Nose on Your Face?
INTRODUCTION TO REAL ANALYSIS Michael J. Schramm LeMoyne College PRENTICE HALL Upper Saddle River, New Jersey 07458. Contents Preface x PART ONE: PRELIMINARIES Chapter 1: Building Proofs 2 1.1 A Quest for Certainty 2 1.2 Proofs as Chains 3 1.3 Statements 3 1.4 Connectives 5 1.5 Proof by Contradiction 9
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