Calculus off the Beaten Path | Taschenbuch

Cover: 9783031157646 | Calculus off the Beaten Path | A Journey Through Its Fundamental Ideas

Rückseite: 9783031157646 | Calculus off the Beaten Path | A Journey Through Its Fundamental Ideas

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

¿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).

Zusammenfassung

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

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2022
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xvi 213 S. 85 s/w Illustr. 22 farbige Illustr. 213 p. 107 illus. 22 illus. in color.
ISBN-13:	9783031157646
ISBN-10:	3031157648
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Zalduendo, Ignacio
Auflage:	1st edition 2022
Hersteller:	Springer Nature Switzerland Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 13 mm
Von/Mit:	Ignacio Zalduendo
Erscheinungsdatum:	10.11.2022
Gewicht:	0,359 kg