| 書目名稱 | Introduction to Calculus and Classical Analysis | | 編輯 | Omar Hijab | | 視頻video | http://file.papertrans.cn/474/473499/473499.mp4 | | 概述 | Approaches integration and introductory analysis in a nonstandard way.New edition expanded and extensively revised, including a new chapter on the Sunrise Lemma and applications.Completely self-contai | | 叢書名稱 | Undergraduate Texts in Mathematics | | 圖書封面 |  | | 描述 | .Involving rigorous analysis, computational dexterity, and a breadth of applications, this text is ideal for an undergraduate honors calculus course or for an introduction to analysis. This fourth edition includes corrections as well as some additional material..Some features of the text:.? The text is completely self-contained and starts with the real number axioms;.? The integral is defined as the area under the graph, while the area is defined for every subset of the plane;.? There is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero;.? There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more;.? Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals;.? self-contained treatment of the fundamental theorems of calculus in the general case using the Sunrise Lemma.? There are 450 problems with all the solutions at the back of the | | 出版日期 | Textbook 2016Latest edition | | 關鍵詞 | Calculus; Classical analysis; Continuity; Differentiation; Integration; combinatorics | | 版次 | 4 | | doi | https://doi.org/10.1007/978-3-319-28400-2 | | isbn_softcover | 978-3-319-80345-6 | | isbn_ebook | 978-3-319-28400-2Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer International Publishing Switzerland 2016 |
The information of publication is updating
|
|
|Archiver|手機版|小黑屋|
派博傳思國際
( 京公網安備110108008328)
GMT+8, 2026-1-18 22:17
發(fā)表于 2025-3-21 20:05:51
