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Titlebook: Amazing and Aesthetic Aspects of Analysis; Paul Loya Textbook 2017 Paul Loya 2017 real analysis.fundamental theorems of continuous functio

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发表于 2025-3-21 18:14:44 | 显示全部楼层 |阅读模式
期刊全称Amazing and Aesthetic Aspects of Analysis
影响因子2023Paul Loya
视频videohttp://file.papertrans.cn/155/154297/154297.mp4
发行地址Contains enthusiastic prose and exciting and imaginative exercises that will motivate the reader.Covers the fundamental ideas, axioms, definitions, and theorems upon which real analysis is built and f
图书封面Titlebook: Amazing and Aesthetic Aspects of Analysis;  Paul Loya Textbook 2017 Paul Loya 2017 real analysis.fundamental theorems of continuous functio
影响因子Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression. .In studying this book, students will encounter:.the interconnections between set theory and mathematical statements and proofs;.the fundamental axioms of the natural, integer, and real numbers;.rigorous ε-N and ε-δ definitions;.convergence and properties of an infinite series, product, or continued fraction;.series, product, and continued fraction formulæ for the various elementary functions and constants..Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.
Pindex Textbook 2017
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发表于 2025-3-21 22:21:52 | 显示全部楼层
Paul LoyaContains enthusiastic prose and exciting and imaginative exercises that will motivate the reader.Covers the fundamental ideas, axioms, definitions, and theorems upon which real analysis is built and f
发表于 2025-3-22 00:58:28 | 显示全部楼层
发表于 2025-3-22 06:06:54 | 显示全部楼层
https://doi.org/10.1007/978-3-322-81513-2 about math statements, “if ... then,” “if and only if,” etc., and to learn the logic behind proofs. Since this is an introductory book on analysis, our treatment of sets is “. naive,” in the sense that we actually don’t define sets rigorously, only informally; we are mostly interested in how “they work,” not really what they are.
发表于 2025-3-22 09:27:51 | 显示全部楼层
https://doi.org/10.1007/978-3-322-81513-2 about math statements, “if ... then,” “if and only if,” etc., and to learn the logic behind proofs. Since this is an introductory book on analysis, our treatment of sets is “. naive,” in the sense that we actually don’t define sets rigorously, only informally; we are mostly interested in how “they
发表于 2025-3-22 15:01:45 | 显示全部楼层
Very Naive Set Theory, Functions, and Proofs about math statements, “if ... then,” “if and only if,” etc., and to learn the logic behind proofs. Since this is an introductory book on analysis, our treatment of sets is “. naive,” in the sense that we actually don’t define sets rigorously, only informally; we are mostly interested in how “they work,” not really what they are.
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发表于 2025-3-23 06:28:43 | 显示全部楼层
Verkleiden von Pfeilern und Widerlagern,In this chapter we present a small sample of . of the most beautiful formulas in the world.
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