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MATHEMATICAL
THINKING
AND WRITING
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RANDALL B. MADDOX
Pepperdine University, Malibu, CA
MATHEMATICAL
THINKING
AND WRITING
A Transition to Abstract Mathematics
ACADEMIC PRESS
A Harcourt Science and pany
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Contents
Why Read This Book xiii
Preface xv
CHAPTER 0 Notation and Assumptions 1
Set Terminology and Notation 1
Assumptions 5
Basic algebraic properties of real numbers 5
Ordering of real numbers 7
Other assumptions about R 9
PART I FOUNDATIONS OF LOGIC AND PROOF WRITING 11
CHAPTER 1 Logic 13
Introduction to Logic 13
Statements 13
Negation of a statement 15
statements with AND/