國立虎尾科技大學 |

From Calculus to Analysis

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	From Calculus to Analysis/ by Steen Pedersen.
作者:	Pedersen, Steen.
面頁冊數:	XIX, 342 p. 48 illus., 14 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Integral equations. -
電子資源:	https://doi.org/10.1007/978-3-319-13641-7
ISBN:	9783319136417

From Calculus to Analysis
Pedersen, Steen.

From Calculus to Analysis[electronic resource] /by Steen Pedersen. - 1st ed. 2015. - XIX, 342 p. 48 illus., 14 illus. in color.online resource.

Part I -- Limits -- Introduction to Continuity -- Sets of Real Numbers -- Counting -- Continuity -- Derivatives and their Applications -- The Riemann Integral -- The Logarithm and the Exponential Function -- Part II -- Convergence of Sequences -- Series -- Trigonometric Functions and Applications -- Fourier Series -- Topology -- Appendices.

This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section.

ISBN: 9783319136417

Standard No.: 10.1007/978-3-319-13641-7doiSubjects--Topical Terms:

527971
Integral equations.

LC Class. No.: QA431

Dewey Class. No.: 515.45

From Calculus to Analysis
LDR:02262nam a22003975i 4500 001 970664
003 DE-He213
005 20200705003445.0
007 cr nn 008mamaa
008 201211s2015 gw | s |||| 0|eng d
020 $a 9783319136417 $9 978-3-319-13641-7
024 7 $a 10.1007/978-3-319-13641-7 $2 doi
035 $a 978-3-319-13641-7
050 4 $a QA431
072 7 $a PBKL $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKL $2 thema
082 0 4 $a 515.45 $2 23
100 1 $a Pedersen, Steen. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1111788
245 1 0 $a From Calculus to Analysis $h [electronic resource] / $c by Steen Pedersen.
250 $a 1st ed. 2015.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a XIX, 342 p. 48 illus., 14 illus. in color. $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
505 0 $a Part I -- Limits -- Introduction to Continuity -- Sets of Real Numbers -- Counting -- Continuity -- Derivatives and their Applications -- The Riemann Integral -- The Logarithm and the Exponential Function -- Part II -- Convergence of Sequences -- Series -- Trigonometric Functions and Applications -- Fourier Series -- Topology -- Appendices.
520 $a This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section.
650 0 $a Integral equations. $3 527971
650 0 $a Algebra. $2 gtt $3 579870
650 0 $a Mathematical analysis. $3 527926
650 0 $a Analysis (Mathematics). $3 1253570
650 1 4 $a Integral Equations. $3 672359
650 2 4 $a Analysis. $3 669490
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319136424
776 0 8 $i Printed edition: $z 9783319136400
776 0 8 $i Printed edition: $z 9783319381367
856 4 0 $u https://doi.org/10.1007/978-3-319-13641-7
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)