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

Analysis.. I

Tao, Terence.

FindBook

Google Book

Amazon

博客來

Analysis.. I

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Analysis./ by Terence Tao.
作者:	Tao, Terence.
出版者:	Singapore :Springer Nature Singapore : : 2022.,
面頁冊數:	x, 340 p. :ill., digital ;24 cm.
內容註:	Chapter 1. Introduction -- Chapter 2. Starting at the beginning: the natural numbers -- Chapter 3. Set theory -- Chapter 4. Integers and rationals -- Chapter 5. The real numbers -- Chapter 6. Limits of sequences -- Chapter 7. Series -- Chapter 8. Infinite sets -- Chapter 9. Continuous functions on R -- Chapter 10. Differentiation of functions -- Chapter 11. The Riemann integral.
Contained By:	Springer Nature eBook
標題:	Mathematical analysis. -
電子資源:	https://doi.org/10.1007/978-981-19-7261-4
ISBN:	9789811972614

Analysis.. I
Tao, Terence.

Analysis.I[electronic resource] /by Terence Tao. - Fourth edition. - Singapore :Springer Nature Singapore :2022. - x, 340 p. :ill., digital ;24 cm. - Texts and readings in mathematics,372366-8725 ;. - Texts and readings in mathematics ;37..

Chapter 1. Introduction -- Chapter 2. Starting at the beginning: the natural numbers -- Chapter 3. Set theory -- Chapter 4. Integers and rationals -- Chapter 5. The real numbers -- Chapter 6. Limits of sequences -- Chapter 7. Series -- Chapter 8. Infinite sets -- Chapter 9. Continuous functions on R -- Chapter 10. Differentiation of functions -- Chapter 11. The Riemann integral.

This is the first book of a two-volume textbook on real analysis. Both the volumes-Analysis I and Analysis II-are intended for honors undergraduates who have already been exposed to calculus. The emphasis is on rigor and foundations. The material starts at the very beginning-the construction of number systems and set theory (Analysis I, Chaps. 1-5), then on to the basics of analysis such as limits, series, continuity, differentiation, and Riemann integration (Analysis I, Chaps. 6-11 on Euclidean spaces, and Analysis II, Chaps. 1-3 on metric spaces), through power series, several variable calculus, and Fourier analysis (Analysis II, Chaps. 4-6), and finally to the Lebesgue integral (Analysis II, Chaps. 7-8) There are appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) is in two quarters of twenty-five to thirty lectures each.

ISBN: 9789811972614

Standard No.: 10.1007/978-981-19-7261-4doiSubjects--Topical Terms:

516833
Mathematical analysis.

LC Class. No.: QA300

Dewey Class. No.: 515

Analysis.. I
LDR:02297nmm a2200349 a 4500 001 2308166
003 DE-He213
005 20230222140009.0
006 m d
007 cr nn 008maaau
008 230526s2022 si s 0 eng d
020 $a 9789811972614 $q (electronic bk.)
020 $a 9789811972621 $q (paper)
024 7 $a 10.1007/978-981-19-7261-4 $2 doi
035 $a 978-981-19-7261-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA300
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBK $2 thema
082 0 4 $a 515 $2 23
090 $a QA300 $b .T171 2022
100 1 $a Tao, Terence. $3 1899018
245 1 0 $a Analysis. $n I $h [electronic resource] / $c by Terence Tao.
250 $a Fourth edition.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2022.
300 $a x, 340 p. : $b ill., digital ; $c 24 cm.
490 1 $a Texts and readings in mathematics, $x 2366-8725 ; $v 37
505 0 $a Chapter 1. Introduction -- Chapter 2. Starting at the beginning: the natural numbers -- Chapter 3. Set theory -- Chapter 4. Integers and rationals -- Chapter 5. The real numbers -- Chapter 6. Limits of sequences -- Chapter 7. Series -- Chapter 8. Infinite sets -- Chapter 9. Continuous functions on R -- Chapter 10. Differentiation of functions -- Chapter 11. The Riemann integral.
520 $a This is the first book of a two-volume textbook on real analysis. Both the volumes-Analysis I and Analysis II-are intended for honors undergraduates who have already been exposed to calculus. The emphasis is on rigor and foundations. The material starts at the very beginning-the construction of number systems and set theory (Analysis I, Chaps. 1-5), then on to the basics of analysis such as limits, series, continuity, differentiation, and Riemann integration (Analysis I, Chaps. 6-11 on Euclidean spaces, and Analysis II, Chaps. 1-3 on metric spaces), through power series, several variable calculus, and Fourier analysis (Analysis II, Chaps. 4-6), and finally to the Lebesgue integral (Analysis II, Chaps. 7-8) There are appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) is in two quarters of twenty-five to thirty lectures each.
650 0 $a Mathematical analysis. $3 516833
650 1 4 $a Analysis. $3 891106
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Texts and readings in mathematics ; $v 37. $3 3614143
856 4 0 $u https://doi.org/10.1007/978-981-19-7261-4
950 $a Mathematics and Statistics (SpringerNature-11649)