Calculus off the Beaten Path
Produktnummer:
18383dfaee7e484c238f358538b10de379
Autor: | Zalduendo, Ignacio |
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Themengebiete: | Gregory's series Pythagorean triples Riemann's rearrangement theorem Stirling's formula classical inequalities derivatives integrals limits one-variable calculus real functions |
Veröffentlichungsdatum: | 09.11.2022 |
EAN: | 9783031157653 |
Sprache: | Englisch |
Seitenzahl: | 213 |
Produktart: | Unbekannt |
Verlag: | Springer International Publishing |
Untertitel: | A Journey Through Its Fundamental Ideas |
Produktinformationen "Calculus off the Beaten Path"
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.

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