| 書目名稱 | Limits | | 副標(biāo)題 | A New Approach to Re | | 編輯 | Alan F. Beardon | | 視頻video | http://file.papertrans.cn/587/586188/586188.mp4 | | 概述 | Beardon is an excellent writer and teacher (Cambridge).By unifying and simplifying all the various notions of limit, the author has successfully presented a unique and novel approach to the subject ma | | 叢書名稱 | Undergraduate Texts in Mathematics | | 圖書封面 |  | | 描述 | Broadly speaking, analysis is the study of limiting processes such as sum- ming infinite series and differentiating and integrating functions, and in any of these processes there are two issues to consider; first, there is the question of whether or not the limit exists, and second, assuming that it does, there is the problem of finding its numerical value. By convention, analysis is the study oflimiting processes in which the issue of existence is raised and tackled in a forthright manner. In fact, the problem of exis- tence overshadows that of finding the value; for example, while it might be important to know that every polynomial of odd degree has a zero (this is a statement of existence), it is not always necessary to know what this zero is (indeed, if it is irrational, we may never know what its true value is). Despite the fact that this book has much in common with other texts on analysis, its approach to the subject differs widely from any other text known to the author. In other texts, each limiting process is discussed, in detail and at length before the next process. There are several disadvan- tages in this approach. First, there is the need for a different definition f | | 出版日期 | Textbook 1997 | | 關(guān)鍵詞 | Finite; Mathematica; complex number; differential equation; equality; form; function; functions; inequality; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0697-2 | | isbn_softcover | 978-1-4612-6872-7 | | isbn_ebook | 978-1-4612-0697-2Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer Science+Business Media New York 1997 |
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