國立虎尾科技大學 |

Calculus off the Beaten Path = A Journey Through Its Fundamental Ideas /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Calculus off the Beaten Path/ by Ignacio Zalduendo.
其他題名:	A Journey Through Its Fundamental Ideas /
作者:	Zalduendo, Ignacio.
面頁冊數:	XVI, 213 p. 107 illus., 22 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Sequences, Series, Summability. -
電子資源:	https://doi.org/10.1007/978-3-031-15765-3
ISBN:	9783031157653

Calculus off the Beaten Path = A Journey Through Its Fundamental Ideas /
Zalduendo, Ignacio.

Calculus off the Beaten PathA Journey Through Its Fundamental Ideas /[electronic resource] :by Ignacio Zalduendo. - 1st ed. 2022. - XVI, 213 p. 107 illus., 22 illus. in color.online resource. - 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

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

672022
Sequences, Series, Summability.

LC Class. No.: QA331.5

Dewey Class. No.: 515.8

Calculus off the Beaten Path = A Journey Through Its Fundamental Ideas /
LDR:03026nam a22003975i 4500 001 1085338
003 DE-He213
005 20221109110132.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783031157653 $9 978-3-031-15765-3
024 7 $a 10.1007/978-3-031-15765-3 $2 doi
035 $a 978-3-031-15765-3
050 4 $a QA331.5
072 7 $a PBKB $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKB $2 thema
082 0 4 $a 515.8 $2 23
100 1 $a Zalduendo, Ignacio. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1391790
245 1 0 $a Calculus off the Beaten Path $h [electronic resource] : $b A Journey Through Its Fundamental Ideas / $c by Ignacio Zalduendo.
250 $a 1st ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a XVI, 213 p. 107 illus., 22 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a SUMS Readings, $x 2730-5821
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.
650 2 4 $a Sequences, Series, Summability. $3 672022
650 1 4 $a Real Functions. $3 672094
650 0 $a Sequences (Mathematics). $3 1253882
650 0 $a Functions of real variables. $3 792248
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783031157646
776 0 8 $i Printed edition: $z 9783031157660
830 0 $a SUMS Readings, $x 2730-5813 $3 1326893
856 4 0 $u https://doi.org/10.1007/978-3-031-15765-3
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)