國立高雄大學圖資館 |

Language: English

Back

Mathematical analysis II

Canuto, Claudio.

Mathematical analysis II

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical analysis IIby Claudio Canuto, Anita Tabacco.
Author:	Canuto, Claudio.
other author:	Tabacco, Anita.
Published:	Cham :Springer International Publishing :2015.
Description:	xiii, 559 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mathematical analysis.
Online resource:	http://dx.doi.org/10.1007/978-3-319-12757-6
ISBN:	9783319127576 (electronic bk.)

Mathematical analysis II
Canuto, Claudio.

Mathematical analysis II[electronic resource] /by Claudio Canuto, Anita Tabacco. - 2nd ed. - Cham :Springer International Publishing :2015. - xiii, 559 p. :ill. (some col.), digital ;24 cm. - UNITEXT,v.852038-5714 ;. - UNITEXT ;v.73..

1 Numerical series -- 2 Series of functions and power series -- 3 Fourier series -- 4 Functions between Euclidean spaces -- 5 Differential calculus for scalar functions -- 6 Differential calculus for vector-valued functions -- 7 Applying differential calculus -- 8 Integral calculus in several variables -- 9 Integral calculus on curves and surfaces -- 10 Ordinary differential equations -- 11 A.1 Complements on differential calculus -- 12 A.2 Complements on integral calculus -- 13 Basic definitions and formulas.

The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book's structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, familiarise with the corresponding key techniques and find the proofs of the main results. The second level enables the strongly motivated reader to explore further into the subject, by studying also the material contained in the appendices. Definitions are enriched by many examples, which illustrate the properties discussed. A host of solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a second course of Mathematical Analysis.

ISBN: 9783319127576 (electronic bk.)

Standard No.: 10.1007/978-3-319-12757-6doiSubjects--Topical Terms:

186133
Mathematical analysis.

LC Class. No.: QA300

Dewey Class. No.: 515

Mathematical analysis II
LDR:03130nmm a2200337 a 4500 001 461943
003 DE-He213
005 20150922102533.0
006 m d
007 cr nn 008maaau
008 151110s2015 gw s 0 eng d
020 $a 9783319127576 (electronic bk.)
020 $a 9783319127569 (paper)
024 7 $a 10.1007/978-3-319-12757-6 $2 doi
035 $a 978-3-319-12757-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA300
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 515 $2 23
090 $a QA300 $b .C235 2015
100 1 $a Canuto, Claudio. $3 280525
245 1 0 $a Mathematical analysis II $h [electronic resource] / $c by Claudio Canuto, Anita Tabacco.
250 $a 2nd ed.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xiii, 559 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a UNITEXT, $x 2038-5714 ; $v v.85
505 0 $a 1 Numerical series -- 2 Series of functions and power series -- 3 Fourier series -- 4 Functions between Euclidean spaces -- 5 Differential calculus for scalar functions -- 6 Differential calculus for vector-valued functions -- 7 Applying differential calculus -- 8 Integral calculus in several variables -- 9 Integral calculus on curves and surfaces -- 10 Ordinary differential equations -- 11 A.1 Complements on differential calculus -- 12 A.2 Complements on integral calculus -- 13 Basic definitions and formulas.
520 $a The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book's structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, familiarise with the corresponding key techniques and find the proofs of the main results. The second level enables the strongly motivated reader to explore further into the subject, by studying also the material contained in the appendices. Definitions are enriched by many examples, which illustrate the properties discussed. A host of solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a second course of Mathematical Analysis.
650 0 $a Mathematical analysis. $3 186133
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Integral Equations. $3 274836
700 1 $a Tabacco, Anita. $3 379441
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a UNITEXT ; $v v.73. $3 681709
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-12757-6
950 $a Mathematics and Statistics (Springer-11649)