Overview
- 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 years of teaching experience at universities around the world
Part of the book series: Springer Undergraduate Mathematics Series (SUMS)
Part of the book sub series: SUMS Readings (SUMSR)
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About this book
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.
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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Table of contents (9 chapters)
Authors and Affiliations
About the author
Ignacio Zalduendo holds a PhD in Mathematical Sciences (1983) from the University of Buenos Aires, Argentina. He is currently a Full Professor at the Torcuato di Tella University, where he also served as vice-rector (2010-2013). His previous activities include positions as a Visiting Professor at the University of California (UCLA), Complutense University of Madrid, Spain, and Kent State University, in the USA. In 2004, he received a scholarship from the Fulbright Program. Dr. Zalduendo has published over 40 articles and has served as a reviewer for journals as the Journal of Mathematical Analysis and Applications, Annals of Mathematics, Mathematical Reviews, and zbMath. He also authored the book Matemática para Iñaki (in Spanish).
Bibliographic Information
Book Title: Calculus off the Beaten Path
Book Subtitle: A Journey Through Its Fundamental Ideas
Authors: Ignacio Zalduendo
Series Title: Springer Undergraduate Mathematics Series
DOI: https://doi.org/10.1007/978-3-031-15765-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Softcover ISBN: 978-3-031-15764-6Published: 10 November 2022
eBook ISBN: 978-3-031-15765-3Published: 09 November 2022
Series ISSN: 1615-2085
Series E-ISSN: 2197-4144
Edition Number: 1
Number of Pages: XVI, 213
Number of Illustrations: 85 b/w illustrations, 22 illustrations in colour