| 书目名称 | Introduction to Calculus and Classical Analysis | | 编辑 | Omar Hijab | | 视频video | http://file.papertrans.cn/474/473497/473497.mp4 | | 概述 | Approaches calculus and introductory analysis in a nonstandard way.New edition extensively revised and updated.Completely self-contained text.Includes supplementary material: | | 丛书名称 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 描述 | .This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third 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 emphasison 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;.There are 385 problems with all the solutions at the back of the text.. | | 出版日期 | Textbook 20113rd edition | | 关键词 | Calculus; Classical analysis; Continuity; Differentiation; Integration; combinatorics | | 版次 | 3 | | doi | https://doi.org/10.1007/978-1-4419-9488-2 | | isbn_softcover | 978-1-4614-2842-8 | | isbn_ebook | 978-1-4419-9488-2Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer Science+Business Media, LLC 2011 |
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