This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section.

In 1996 Danish cycling legend Bjarne Riis won the Tour de France. Eleven years later he called a press conference and confessed to taking performance-enhancing drugs in order to achieve the ultimate cycling triumph. In Riis, his sensational autobiography - already an acclaimed bestseller in Denmark and Germany - the notoriously private Dane bares his soul. From the shy, young daydreamer who fell in love with cycling as an eight-year-old, to the hardened, regular user of banned blood booster EPO. While never shirking the seriousness of his actions Riis does attempt to explain the pressures and attitudes within cycling at the time that let him down a dark path that he now condemns. Brutally honest and as furiously fast-paced as one of his breakaways from the peleton, Riis is a powerful insight into the life and mind of one of the sport's key figures as well as a window into the world of professional road racing. There are not many people who have been involved in cycling to the extent that Riis has over the last 30 years and readers will be surprised by how open the normally taciturn Dane has been in his autobiography. If you liked Fignon's We Were Young and Carefree this book will certainly appeal to you.

This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section.