PB/BUsing an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible.B/BThe real number system. Differential calculus of functions of one variable. Riemann integral functions of one variable. Integral calculus of real-valued functions. Metric Spaces.B/BFor those who want to gain an understanding of mathematical analysis and challenging mathematical concepts./PPThis is a text for a two-term course in introductory real analysis for junior or senior mathematics majors and engineering and science students with a serious interest in mathematics. Prospective educators of mathematically gifted high school students can also benefit from the mathematical maturity that can be gained from an introductory real analysis course./PPThe book is designed to fill the gaps left in the development of calculus as it is usually presented in an elementary course, and to provide the background required for insight into more advanced courses in pure and applied mathematics./PPThe standard elementary calculus sequence is the only specific prerequisite for Chapters 1-5, which deal with real-valued functions. (However, other analysis oriented courses, such as elementary differential equations, provide useful preparatory experience.) Chapters 6 and 7 require a working knowledge of determinants, matrices, and linear transformations, typically available from a first course in linear algebra. Chapter 8 is accessible after completion of Chapters 1-5./PPWithout taking a position for or against current reforms in mathematics teaching, I think it is fair to say that the transition from elementary courses such as calculus, linear algebra, and differential equations to a rigorous real analysis course is a bigger step today than it was just a few years ago. To make this step, today’s students need more help than their predecessors did, and must be co@9À