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Calculus off the beaten patha journey through its fundamental ideas /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Calculus off the beaten pathby Ignacio Zalduendo.
Reminder of title:	a journey through its fundamental ideas /
Author:	Zalduendo, Ignacio.
Published:	Cham :Springer International Publishing :2022.
Description:	xvi, 213 p. :ill. (some color), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Calculus.
Online resource:	https://doi.org/10.1007/978-3-031-15765-3
ISBN:	9783031157653$q(electronic bk.)

Calculus off the beaten patha journey through its fundamental ideas /
Zalduendo, Ignacio.

Calculus off the beaten patha journey through its fundamental ideas /[electronic resource] :by Ignacio Zalduendo. - Cham :Springer International Publishing :2022. - xvi, 213 p. :ill. (some color), digital ;24 cm. - SUMS readings,2730-5821. - SUMS readings..

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, the isoperimetric 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.

ISBN: 9783031157653$q(electronic bk.)

Standard No.: 10.1007/978-3-031-15765-3doiSubjects--Topical Terms:

183091
Calculus.

LC Class. No.: QA300

Dewey Class. No.: 515

Calculus off the beaten patha journey through its fundamental ideas /
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505 0 $a 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.
520 $a 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, the isoperimetric 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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