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Titlebook: Calculus off the Beaten Path; A Journey Through It Ignacio Zalduendo Textbook 2022 The Editor(s) (if applicable) and The Author(s), under e

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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Titlebook: Calculus off the Beaten Path; A Journey Through It Ignacio Zalduendo Textbook 2022 The Editor(s) (if applicable) and The Author(s), under e
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
doihttps://doi.org/10.1007/978-3-031-15765-3
isbn_softcover978-3-031-15764-6
isbn_ebook978-3-031-15765-3Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Neural Text-to-Speech Synthesisto calculate it. In a few pages we will go down that path. But before that, I would like to stop and tell you about some of the notions of integral and to show you some of the difficulties implicit in the subject (which we will avoid!).
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Textbook 2022orty 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 notio
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https://doi.org/10.1007/978-981-99-0827-1e first two questions give us the area of squares of sides two or three. The answer to the more abstract question allows us to know the area of any square. This is infinitely more useful. Abstraction is what confers usefulness to mathematics.
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