東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linked to FindBook

Google Book

Amazon

博客來

A primer for mathematical analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	A primer for mathematical analysis/ by David Borthwick.
Author:	Borthwick, David.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	viii, 119 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Real Numbers -- Complex Numbers and Series -- Metric Topology -- Functions on Metric Spaces. Solutions to Exercises -- Index.
Contained By:	Springer Nature eBook
Subject:	Mathematical analysis. -
Online resource:	https://doi.org/10.1007/978-3-031-91713-4
ISBN:	9783031917134

A primer for mathematical analysis
Borthwick, David.

A primer for mathematical analysis[electronic resource] /by David Borthwick. - Cham :Springer Nature Switzerland :2025. - viii, 119 p. :ill. (some col.), digital ;24 cm. - Synthesis lectures on mathematics & statistics,1938-1751. - Synthesis lectures on mathematics & statistics..

Real Numbers -- Complex Numbers and Series -- Metric Topology -- Functions on Metric Spaces. Solutions to Exercises -- Index.

This book presents a concise introduction to real and complex number systems and metric space theory. The goal is to help students bridge the gap between undergraduate courses in advanced calculus and graduate level material in analysis or related subjects such as differential geometry or probability. The unifying feature in all of these subject areas is the predominance of the limit, and metric space theory is the mathematical language in which limits are formulated. To understand analysis at a graduate level, students need to develop fluency in this language. To facilitate this development, exercises are incorporated into the main text, with many key results posed as problems. Solutions are provided to help readers fill in any gaps. This book: Covers the most crucial prerequisites for graduate level analysis, including metric space theory Contains plentiful exercises to help develop proficiency in the key ideas and techniques, with solutions provided Features a self-contained presentation designed for students to review or study on their own.

ISBN: 9783031917134

Standard No.: 10.1007/978-3-031-91713-4doiSubjects--Topical Terms:

516833
Mathematical analysis.

LC Class. No.: QA300

Dewey Class. No.: 515

A primer for mathematical analysis
LDR:02217nmm a2200337 a 4500 001 2414011
003 DE-He213
005 20250731130645.0
006 m d
007 cr nn 008maaau
008 260205s2025 sz s 0 eng d
020 $a 9783031917134 $q (electronic bk.)
020 $a 9783031917127 $q (paper)
024 7 $a 10.1007/978-3-031-91713-4 $2 doi
035 $a 978-3-031-91713-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA300
072 7 $a PB $2 bicssc
072 7 $a MAT000000 $2 bisacsh
072 7 $a PB $2 thema
082 0 4 $a 515 $2 23
090 $a QA300 $b .B739 2025
100 1 $a Borthwick, David. $3 2203625
245 1 2 $a A primer for mathematical analysis $h [electronic resource] / $c by David Borthwick.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a viii, 119 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Synthesis lectures on mathematics & statistics, $x 1938-1751
505 0 $a Real Numbers -- Complex Numbers and Series -- Metric Topology -- Functions on Metric Spaces. Solutions to Exercises -- Index.
520 $a This book presents a concise introduction to real and complex number systems and metric space theory. The goal is to help students bridge the gap between undergraduate courses in advanced calculus and graduate level material in analysis or related subjects such as differential geometry or probability. The unifying feature in all of these subject areas is the predominance of the limit, and metric space theory is the mathematical language in which limits are formulated. To understand analysis at a graduate level, students need to develop fluency in this language. To facilitate this development, exercises are incorporated into the main text, with many key results posed as problems. Solutions are provided to help readers fill in any gaps. This book: Covers the most crucial prerequisites for graduate level analysis, including metric space theory Contains plentiful exercises to help develop proficiency in the key ideas and techniques, with solutions provided Features a self-contained presentation designed for students to review or study on their own.
650 0 $a Mathematical analysis. $3 516833
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Analysis. $3 891106
650 2 4 $a Real Functions. $3 891265
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 893953
650 2 4 $a Integral Transforms and Operational Calculus. $3 3538804
650 2 4 $a Functional Analysis. $3 893943
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Synthesis lectures on mathematics & statistics. $3 3790411
856 4 0 $u https://doi.org/10.1007/978-3-031-91713-4
950 $a Mathematics and Statistics (SpringerNature-11649)