| 期刊全稱 | A Course in Calculus and Real Analysis | | 影響因子2023 | Sudhir R. Ghorpade,Balmohan V. Limaye | | 視頻video | http://file.papertrans.cn/141/140451/140451.mp4 | | 發(fā)行地址 | Offers a unified exposition of single-variable calculus and classical real analysis.Contains a chapter on sequences and series of real-valued functions of a real variable.Features two new appendices t | | 學科分類 | Undergraduate Texts in Mathematics | | 圖書封面 |  | | 影響因子 | .Offering a unified exposition of calculus and classical real analysis, this textbook presents a meticulous introduction to single‐variable calculus. Throughout, the exposition makes a distinction between the intrinsic geometric definition of a notion and its analytic characterization, establishing firm foundations for topics often encountered earlier without proof. Each chapter contains numerous examples and a large selection of exercises, as well as a “Notes and Comments” section, which highlights distinctive features of the exposition and provides additional references to relevant literature..This second edition contains substantial revisions and additions, including several simplified proofs, new sections, and new and revised figures and exercises. A new chapter discusses sequences and series of real‐valued functions of a real variable, and their continuous counterpart: improper integrals depending on a parameter. Two new appendices cover a construction of the real numbers using Cauchy sequences, and a self‐contained proof of the Fundamental Theorem of Algebra..In addition to the usual prerequisites for a first course in single‐variable calculus, the reader should possess some | | Pindex | Textbook 2018Latest edition |
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