國立虎尾科技大學 |

Calculus Problems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Calculus Problems/ by Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi.
Author:	Baronti, Marco.
other author:	De Mari, Filippo.
Description:	XIII, 366 p. 132 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematical analysis. -
Online resource:	https://doi.org/10.1007/978-3-319-15428-2
ISBN:	9783319154282

Calculus Problems
Baronti, Marco.

Calculus Problems[electronic resource] /by Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi. - 1st ed. 2016. - XIII, 366 p. 132 illus.online resource. - La Matematica per il 3+2,1012038-5722 ;. - La Matematica per il 3+2,84.

1 Manipulation of Graphs -- 2 Invertible Mappings -- 3 Sequences -- 4 Maxima, minima, least upper bound, greatest lower bound -- 5 Limits of functions -- 6 Continuous Functions -- 7 Differentiable Functions -- 8 Taylor Expansions -- 9 Geometry of functions: extrema and convexity -- 10 Indefinite and Definite Integrals -- 11 Improper Integrals and Integral Functions -- 12 Numerical Series -- 13 Separation of Variables -- 14 First Order Linear Differential Equations -- 15 Constant Coefficient Differential Equations.

This book, intended as a practical working guide for students in Engineering, Mathematics, Physics, or any other field where rigorous calculus is needed, includes 450 exercises. Each chapter starts with a summary of the main definitions and results, which is followed by a selection of solved exercises accompanied by brief, illustrative comments. A selection of problems with indicated solutions rounds out each chapter. A final chapter explores problems that are not designed with a single issue in mind but instead call for the combination of a variety of techniques, rounding out the book’s coverage. Though the book’s primary focus is on functions of one real variable, basic ordinary differential equations (separation of variables, linear first order and constant coefficients ODEs) are also discussed. The material is taken from actual written tests that have been delivered at the Engineering School of the University of Genoa. Literally thousands of students have worked on these problems, ensuring their real-world applicability.

ISBN: 9783319154282

Standard No.: 10.1007/978-3-319-15428-2doiSubjects--Topical Terms:

527926
Mathematical analysis.

LC Class. No.: QA299.6-433

Dewey Class. No.: 515

Calculus Problems
LDR:02937nam a22003975i 4500 001 972879
003 DE-He213
005 20200630012616.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319154282 $9 978-3-319-15428-2
024 7 $a 10.1007/978-3-319-15428-2 $2 doi
035 $a 978-3-319-15428-2
050 4 $a QA299.6-433
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBK $2 thema
082 0 4 $a 515 $2 23
100 1 $a Baronti, Marco. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1115793
245 1 0 $a Calculus Problems $h [electronic resource] / $c by Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a XIII, 366 p. 132 illus. $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 La Matematica per il 3+2, $x 2038-5722 ; $v 101
505 0 $a 1 Manipulation of Graphs -- 2 Invertible Mappings -- 3 Sequences -- 4 Maxima, minima, least upper bound, greatest lower bound -- 5 Limits of functions -- 6 Continuous Functions -- 7 Differentiable Functions -- 8 Taylor Expansions -- 9 Geometry of functions: extrema and convexity -- 10 Indefinite and Definite Integrals -- 11 Improper Integrals and Integral Functions -- 12 Numerical Series -- 13 Separation of Variables -- 14 First Order Linear Differential Equations -- 15 Constant Coefficient Differential Equations.
520 $a This book, intended as a practical working guide for students in Engineering, Mathematics, Physics, or any other field where rigorous calculus is needed, includes 450 exercises. Each chapter starts with a summary of the main definitions and results, which is followed by a selection of solved exercises accompanied by brief, illustrative comments. A selection of problems with indicated solutions rounds out each chapter. A final chapter explores problems that are not designed with a single issue in mind but instead call for the combination of a variety of techniques, rounding out the book’s coverage. Though the book’s primary focus is on functions of one real variable, basic ordinary differential equations (separation of variables, linear first order and constant coefficients ODEs) are also discussed. The material is taken from actual written tests that have been delivered at the Engineering School of the University of Genoa. Literally thousands of students have worked on these problems, ensuring their real-world applicability.
650 0 $a Mathematical analysis. $3 527926
650 0 $a Analysis (Mathematics). $3 1253570
650 0 $a Calculus of variations. $3 527927
650 1 4 $a Analysis. $3 669490
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 593942
700 1 $a De Mari, Filippo. $e editor. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1254483
700 1 $a van der Putten, Robertus. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1267985
700 1 $a Venturi, Irene. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1267986
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319154275
776 0 8 $i Printed edition: $z 9783319154299
830 0 $a La Matematica per il 3+2, $x 2038-5722 ; $v 84 $3 1253905
856 4 0 $u https://doi.org/10.1007/978-3-319-15428-2
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)