书目名称 | Calculus off the Beaten Path | 副标题 | A Journey Through It | 编辑 | Ignacio Zalduendo | 视频video | | 概述 | Provides a gentle overview of fundamental concepts of one-variable calculus.Explores more than just core topics, touching on relevant subjects from a historical perspective.Reflects the author‘s 40 ye | 丛书名称 | Springer Undergraduate Mathematics Series | 图书封面 |  | 描述 | This textbook provides a gentle overview of fundamental concepts related to one-variable calculus. The original approach is a result of the author’s forty years of experience in teaching the subject at universities around the world. In this book, Dr. Zalduendo makes use of the history of mathematics and a friendly, conversational approach to attract the attention of the student, emphasizing what is more conceptually relevant and putting key notions in a historical perspective. Such an approach was conceived to help them to overcome potential difficulties in teaching and learning of this subject — caused, in many cases, by an excess of technicalities and computations..Besides covering the core of the discipline — real number, sequences and series, functions, derivatives, integrals, convexity and inequalities — the book is enriched by “side trips” to relevant subjects not usually seen in traditional calculus textbooks, touching on topics like curvature, theisoperimetric inequality, Riemann’s rearrangement theorem, Snell’s law, Buffon’s needle problem, Gregory’s series, random walk and the Gauss curve, and more. An insightful collection of exercises and applications completes this boo | 出版日期 | Textbook 2022 | 关键词 | one-variable calculus; real functions; limits; derivatives; integrals; Riemann‘s rearrangement theorem; Py | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-15765-3 | isbn_softcover | 978-3-031-15764-6 | isbn_ebook | 978-3-031-15765-3Series ISSN 1615-2085 Series E-ISSN 2197-4144 | issn_series | 1615-2085 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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