A Course in Calculus and Real Analysis

<P>THIS BOOK PROVIDES A SELF-CONTAINED AND RIGOROUS INTRODUCTION TO CALCULUS OF FUNCTIONS OF ONE VARIABLE, IN A PRESENTATION WHICH EMPHASIZES THE STRUCTURAL DEVELOPMENT OF CALCULUS. THROUGHOUT, THE AUTHORS HIGHLIGHT THE FACT THAT CALCULUS PROVIDES A FIRM FOUNDATION TO CONCEPTS AND RESULTS THAT ARE GENERALLY ENCOUNTERED IN HIGH SCHOOL AND ACCEPTED ON FAITH; FOR EXAMPLE, THE CLASSICAL RESULT THAT THE RATIO OF CIRCUMFERENCE TO DIAMETER IS THE SAME FOR ALL CIRCLES. A NUMBER OF TOPICS ARE TREATED HERE IN CONSIDERABLE DETAIL THAT MAY BE INADEQUATELY COVERED IN CALCULUS COURSES AND GLOSSED OVER IN REAL ANALYSIS COURSES.</P>