Analysis l-·ÖÎö-µÚ1¾í-(Ó°Ó¡°æ)

Analysis l-·ÖÎö-µÚ1¾í-(Ó°Ó¡°æ) ÄÚÈݼò½é

¡¡¡¡the present book strives for clarity and transparency. right from the begin-ning£¬ it requires from the reader a willingness to deal with abstract concepts£¬ as well as a considerable measure of self-initiative. for these e&£¬rts£¬ the reader will be richly rewarded in his or her mathematical thinking abilities£¬ and will possess the foundation needed for a deeper penetration into mathematics and its applications.
¡¡¡¡this book is the first volume of a three volume introduction to analysis. it de- veloped from. courses that the authors have taught over the last twenty six years at the universities of bochum£¬ kiel£¬ zurich£¬ basel and kassel. since we hope that this book will be used also for self-study and supplementary reading£¬ we have included far more material than can be covered in a three semester sequence. this allows us to provide a wide overview of the subject and to present the many beautiful and important applications of the theory. we also demonstrate that mathematics possesses£¬ not only elegance and inner beauty£¬ but also provides efficient methods for the solution of concrete problems.