大葉大學圖書館 |

Calculus and analysis in Euclidean space[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	519.535
書名/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.
Contained By:	Springer eBooks
標題:	Multivariate analysis.
標題:	Euclidean algorithm.
標題:	Mathematics.
標題:	Analysis.
ISBN:	9783319493145
ISBN:	9783319493121
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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-49314-5

Calculus and analysis in Euclidean space[electronic resource] /
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:

182818
Multivariate analysis.

LC Class. No.: QA278

Dewey Class. No.: 519.535

Calculus and analysis in Euclidean space[electronic resource] /
LDR:02852nam a2200325 a 4500 001 476710
003 DE-He213
005 20161130072810.0
006 m d
007 cr nn 008maaau
008 181208s2016 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 687689
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 182818
650 0 $a Euclidean algorithm. $3 573543
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Analysis. $3 464137
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Undergraduate texts in mathematics. $3 470174
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-49314-5
950 $a Mathematics and Statistics (Springer-11649)