Paul Sally Jr. - Böcker

This is a textbook for a course in Honors Analysis (for freshman/sophomore undergraduates) or Real Analysis (for junior/senior undergraduates) or Analysis-I (beginning graduates). It is intended for students who completed a course in ``AP Calculus'', possibly followed by a routine course in multivariable calculus and a computational course in linear algebra. There are three features that distinguish this book from many other books of a similar nature and which are important for the use of this book as a text. The first, and most important, feature is the collection of exercises. These are spread throughout the chapters and should be regarded as an essential component of the student's learning. Some of these exercises comprise a routine follow-up to the material, while others challenge the student's understanding more deeply. The second feature is the set of independent projects presented at the end of each chapter. These projects supplement the content studied in their respective chapters. They can be used to expand the student's knowledge and understanding or as an opportunity to conduct a seminar in Inquiry Based Learning in which the students present the material to their class. The third really important feature is a series of challenge problems that increase in impossibility as the chapters progress.

Swim, Run, and Bike your way to math success! Judith and Paul Sally, accomplished mathematicians and experienced teachers, offer a challenging athletic workout to the minds of their young readers through exercises in areas of number theory and geometry that extend beyond the realm of basic mathematics in the school curriculum. The activities in the book present readers with a dynamic and fresh perspective on mathematics, encouraging active and energetic responses leading to a level of thinking that carries over into college mathematics. The book's novel games coach the players to experience the satisfaction and confidence that accompany meaningful investigations of mathematical ideas. This book will provide a stimulus to make scientific competition as much a part of our educational culture as the athletic activities to which we are accustomed.