東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Calculus and analysis in Euclidean space

Shurman, Jerry.

FindBook

Google Book

Amazon

博客來

Calculus and analysis in Euclidean space

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Calculus and analysis in Euclidean space/ by Jerry Shurman.
作者:	Shurman, Jerry.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	xiii, 507 p. :ill., digital ;24 cm.
內容註:	Preface -- 1 Results from One-Variable Calculus -- Part I Multivariable Differential Calculus -- 2 Euclidean Space -- 3 Linear Mappings and Their Matrices -- 4 The Derivative -- 5 Inverse and Implicit Functions -- Part II Multivariable Integral Calculus -- 6 Integration -- 7 Approximation by Smooth Functions -- 8 Parameterized Curves -- 9 Integration of Differential Forms -- Index.
Contained By:	Springer eBooks
標題:	Multivariate analysis. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-49314-5
ISBN:	9783319493145

Calculus and analysis in Euclidean space
Shurman, Jerry.

Calculus and analysis in Euclidean space[electronic resource] /by Jerry Shurman. - Cham :Springer International Publishing :2016. - xiii, 507 p. :ill., digital ;24 cm. - Undergraduate texts in mathematics,0172-6056. - Undergraduate texts in mathematics..

Preface -- 1 Results from One-Variable Calculus -- Part I Multivariable Differential Calculus -- 2 Euclidean Space -- 3 Linear Mappings and Their Matrices -- 4 The Derivative -- 5 Inverse and Implicit Functions -- Part II Multivariable Integral Calculus -- 6 Integration -- 7 Approximation by Smooth Functions -- 8 Parameterized Curves -- 9 Integration of Differential Forms -- Index.

The graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, with the material on differentiation culminating in the inverse and implicit function theorems, and the material on integration culminating in the general fundamental theorem of integral calculus. More in-depth than most calculus books but less technical than a typical analysis introduction, Calculus and Analysis in Euclidean Space offers a rich blend of content to students outside the traditional mathematics major, while also providing transitional preparation for those who will continue on in the subject. The writing in this book aims to convey the intent of ideas early in discussion. The narrative proceeds through figures, formulas, and text, guiding the reader to do mathematics resourcefully by marshaling the skills of geometric intuition (the visual cortex being quickly instinctive) algebraic manipulation (symbol-patterns being precise and robust) incisive use of natural language (slogans that encapsulate central ideas enabling a large-scale grasp of the subject) Thinking in these ways renders mathematics coherent, inevitable, and fluid. The prerequisite is single-variable calculus, including familiarity with the foundational theorems and some experience with proofs.

ISBN: 9783319493145

Standard No.: 10.1007/978-3-319-49314-5doiSubjects--Topical Terms:

517467
Multivariate analysis.

LC Class. No.: QA278

Dewey Class. No.: 519.535

Calculus and analysis in Euclidean space
LDR:02852nmm a2200325 a 4500 001 2080845
003 DE-He213
005 20161130072810.0
006 m d
007 cr nn 008maaau
008 170616s2016 gw s 0 eng d
020 $a 9783319493145 $q (electronic bk.)
020 $a 9783319493121 $q (paper)
024 7 $a 10.1007/978-3-319-49314-5 $2 doi
035 $a 978-3-319-49314-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA278
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 519.535 $2 23
090 $a QA278 $b .S562 2016
100 1 $a Shurman, Jerry. $3 897297
245 1 0 $a Calculus and analysis in Euclidean space $h [electronic resource] / $c by Jerry Shurman.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xiii, 507 p. : $b ill., digital ; $c 24 cm.
490 1 $a Undergraduate texts in mathematics, $x 0172-6056
505 0 $a Preface -- 1 Results from One-Variable Calculus -- Part I Multivariable Differential Calculus -- 2 Euclidean Space -- 3 Linear Mappings and Their Matrices -- 4 The Derivative -- 5 Inverse and Implicit Functions -- Part II Multivariable Integral Calculus -- 6 Integration -- 7 Approximation by Smooth Functions -- 8 Parameterized Curves -- 9 Integration of Differential Forms -- Index.
520 $a The graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, with the material on differentiation culminating in the inverse and implicit function theorems, and the material on integration culminating in the general fundamental theorem of integral calculus. More in-depth than most calculus books but less technical than a typical analysis introduction, Calculus and Analysis in Euclidean Space offers a rich blend of content to students outside the traditional mathematics major, while also providing transitional preparation for those who will continue on in the subject. The writing in this book aims to convey the intent of ideas early in discussion. The narrative proceeds through figures, formulas, and text, guiding the reader to do mathematics resourcefully by marshaling the skills of geometric intuition (the visual cortex being quickly instinctive) algebraic manipulation (symbol-patterns being precise and robust) incisive use of natural language (slogans that encapsulate central ideas enabling a large-scale grasp of the subject) Thinking in these ways renders mathematics coherent, inevitable, and fluid. The prerequisite is single-variable calculus, including familiarity with the foundational theorems and some experience with proofs.
650 0 $a Multivariate analysis. $3 517467
650 0 $a Euclidean algorithm. $3 1085458
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Analysis. $3 891106
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Undergraduate texts in mathematics. $3 1041596
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-49314-5
950 $a Mathematics and Statistics (Springer-11649)