英语翻译The goal of this book is to rigorously present the funda

英语翻译
The goal of this book is to rigorously present the fundamental concepts of mathematical analysis in the clearest,simplest way,within the context of illuminating examples and stimulating exercises.I hope that the student will assimilate a precise understanding of the subject,together with an appreciation of its coherence and significance.
Mathematical analysis has been seminal in the development of many branches of science.Indeed,the importance of the applications of the computational algorithms that are a part of the subject often leads to courses in which familiarity with implementing these algorithms is emphasized at the expense of the ideas that underlie the subject.While these techniques are very important,without a genuine understanding of the concepts that are heart of these algorithms,it is possible to make only limited use of these computational possibilities.