| 書目名稱 | Introduction to Analysis | | 副標(biāo)題 | Theorems and Example | | 編輯 | Hidefumi Katsuura | | 視頻video | http://file.papertrans.cn/477/476471/476471.mp4 | | 概述 | Highlights the essential theorems used in introductory analysis and offers a historical perspective.Provides many examples in the form of exercise problems to help readers evaluate their understanding | | 叢書名稱 | Synthesis Lectures on Mathematics & Statistics | | 圖書封面 |  | | 描述 | .This book focuses on the theoretical aspects of calculus. The book begins with a chapter on set theory before thoroughly discussing real numbers, then moves onto sequences, series, and their convergence. The author explains why an understanding of real numbers is essential in order to create a foundation for studying analysis. Since the Cantor set is elusive to many, a section is devoted to binary/ternary numbers and the Cantor set. ?The book then moves on to continuous functions, differentiations, integrations, and uniform convergence of sequences of functions. An example of a nontrivial uniformly Cauchy sequence of functions is given. The author defines each topic, identifies important theorems, and includes many examples throughout each chapter. The book also provides introductory instruction on proof writing, with an emphasis on how to execute a precise writing style.. | | 出版日期 | Textbook 2025 | | 關(guān)鍵詞 | Set Theory; Real Numbers; Sequences and Series; Continuous Functions; Differentiation; Integrations | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-67954-4 | | isbn_softcover | 978-3-031-67956-8 | | isbn_ebook | 978-3-031-67954-4Series ISSN 1938-1743 Series E-ISSN 1938-1751 | | issn_series | 1938-1743 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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