Analysis l-����-��1��-(Ӱӡ��) ��(n��i)�ݺ�(ji��n)��

����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.