國立虎尾科技大學 |

Several Real Variables

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Several Real Variables/ by Shmuel Kantorovitz.
作者:	Kantorovitz, Shmuel.
面頁冊數:	XII, 307 p. 16 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Functions of real variables. -
電子資源:	https://doi.org/10.1007/978-3-319-27956-5
ISBN:	9783319279565

Several Real Variables
Kantorovitz, Shmuel.

Several Real Variables[electronic resource] /by Shmuel Kantorovitz. - 1st ed. 2016. - XII, 307 p. 16 illus.online resource. - Springer Undergraduate Mathematics Series,1615-2085. - Springer Undergraduate Mathematics Series,.

Continuity -- Derivation -- Implicit Functions -- Integration -- Solutions. .

This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as: •The p-norms on vector space and their equivalence •The Weierstrass and Stone-Weierstrass approximation theorems •The differential as a linear functional; Jacobians, Hessians, and Taylor's theorem in several variables •The Implicit Function Theorem for a system of equations, proved via Banach’s Fixed Point Theorem •Applications to Ordinary Differential Equations •Line integrals and an introduction to surface integrals This book features numerous examples, detailed proofs, as well as exercises at the end of sections. Many of the exercises have detailed solutions, making the book suitable for self-study. Several Real Variables will be useful for undergraduate students in mathematics who have completed first courses in line ar algebra and analysis of one real variable.

ISBN: 9783319279565

Standard No.: 10.1007/978-3-319-27956-5doiSubjects--Topical Terms:

792248
Functions of real variables.

LC Class. No.: QA331.5

Dewey Class. No.: 515.8

Several Real Variables
LDR:02413nam a22003975i 4500 001 978423
003 DE-He213
005 20200704100825.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319279565 $9 978-3-319-27956-5
024 7 $a 10.1007/978-3-319-27956-5 $2 doi
035 $a 978-3-319-27956-5
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 Kantorovitz, Shmuel. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1106171
245 1 0 $a Several Real Variables $h [electronic resource] / $c by Shmuel Kantorovitz.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a XII, 307 p. 16 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 Springer Undergraduate Mathematics Series, $x 1615-2085
505 0 $a Continuity -- Derivation -- Implicit Functions -- Integration -- Solutions. .
520 $a This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as: •The p-norms on vector space and their equivalence •The Weierstrass and Stone-Weierstrass approximation theorems •The differential as a linear functional; Jacobians, Hessians, and Taylor's theorem in several variables •The Implicit Function Theorem for a system of equations, proved via Banach’s Fixed Point Theorem •Applications to Ordinary Differential Equations •Line integrals and an introduction to surface integrals This book features numerous examples, detailed proofs, as well as exercises at the end of sections. Many of the exercises have detailed solutions, making the book suitable for self-study. Several Real Variables will be useful for undergraduate students in mathematics who have completed first courses in line ar algebra and analysis of one real variable.
650 0 $a Functions of real variables. $3 792248
650 1 4 $a Real Functions. $3 672094
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319279558
776 0 8 $i Printed edition: $z 9783319279572
830 0 $a Springer Undergraduate Mathematics Series, $x 1615-2085 $3 1255356
856 4 0 $u https://doi.org/10.1007/978-3-319-27956-5
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)