---

＜電子ブック＞
Calculus off the Beaten Path : A Journey Through Its Fundamental Ideas / by Ignacio Zalduendo
(SUMS Readings. ISSN:27305821)

版	1st ed. 2022.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2022
本文言語	英語
大きさ	XVI, 213 p. 107 illus., 22 illus. in color : online resource
著者標目	*Zalduendo, Ignacio author SpringerLink (Online service)
件　名	LCSH:Functions of real variables LCSH:Sequences (Mathematics) FREE:Real Functions FREE:Sequences, Series, Summability
一般注記	Chapter. 1. The Real Numbers -- Chapter. 2. Sequences and Series -- Chapter. 3. Functions -- Chapter. 4. The Derivative -- Chapter. 5. The Integral -- Chapter. 6. More Derivatives -- Chapter. 7. Convexity and The Isoperimetric Inequality -- Chapter. 8. More Integrals -- Chapter. 9. The Gamma Function 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 book, making it ideal as a supplementary textbook for a calculus course or the main textbook for an honors course on the subject HTTP:URL=https://doi.org/10.1007/978-3-031-15765-3

 類似資料